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    <p>Hi,<br>
    </p>
    <p>As you where doing BBD, and care about BBD output noise, why not
      try to feed it a 1 kHz or better yet 3 kHz tone from a ... you
      know... synthesizer. Then use another oscillator as measurement
      lock-up oscillator, this one you want a DC-coupled linear FM input
      if you can get it, but otherwise you have to go with the normal CV
      input.</p>
    <p>As phase-detector you can use a ring-modulator, but here you want
      a DC output of the signal, which most does not do as they have
      DC-blockers. You could use an XOR-gate if you have square-waves
      into it.</p>
    <p>Out of the phase-detector, you have two signal paths, one is the
      loop filter for the PLL. Here I prefer to build a PI-loop, which
      is essentially an integrator. The minimum build-up is an op-amp
      with a input resistor and then a capacitor and resistor in series
      in the negative feedback path. The minimum setup is however a bit
      difficult to dimension things correctly on, as it get good result
      when all the parameters is fixed so it's own values can be fixed.
      A gain-pot may be needed to scale loop-gain properly, that helps
      part of the PLL design problem. The second path from the
      phase-detector should have a fixed gain stage typically. So, a
      TL-072 with a handful of passives and a XOR-gate of your choosing.
      Maybe another op-amp pair to square signals up if needed.</p>
    <p>Then, finally, a spectrum analyzer over the audio frequency
      range. Nothing exotic, but good dynamics come into use. I would
      maybe use a DN60 because it's lying around, but even the phone
      with an app would work. If your oscilloscope can pull a FFT off,
      fine.<br>
    </p>
    <p>If one can insert a signal from an offset oscillator (for a 1 kHz
      carrier signal, consider a 1,1 kHz tone to measure to produce the
      100 Hz offset) with a known relationship in amplitude relative the
      carrier signal, say -30 dB, then one can calibrate the scale for
      improved knowledge of noise levels, as phase-noise is reported in
      dBc/sqrt(Hz), decibels relative carrier, and corrected with the
      filter bandwidth.</p>
    <p>It's not that this is very exotic things, it's just that since
      you do not use these things like this, they may not be very well
      prepared for it, so it's more that which causes you problems. Some
      oscillators have PLL capability, I have a pair of JLC Moog 921
      clones lying around, which has the PLL in them so it becomes more
      the effort of pulling the right signal.</p>
    <p>As you getto this, the cleanness of the oscillators etc. may
      become a problem, but if you clearly can hear problems, then maybe
      you have good enough stuff.</p>
    <p>Phase-noise measurements like these isn't all that hard, and if
      you work a little more with it, you will find slopes of noise as
      well as spikes. The slopes is due to the white and flicker noise,
      and as shaped by the resonator bandwidth, as modeled by Dr. David
      Leeson in an article in Feb 1966. That and his 2016 50 year
      lookback is good reads, while just a scratch on the surface. For
      long-term stability we use the time-stability measure called Allan
      Deviation, of Dr. David Allan, as published in the same Feb 1966
      special issue. For Allan deviation, read the Wikipedia article on
      Allan Variance, which I wrote.</p>
    <p>One can home-brew quite sensitive phase-noise measurement tools
      for very low cost, even for higher frequencies. I have a couple of
      more extensive rigs that I use to measure high stability quartz
      oscillators and atomic clocks. My basement lab grew slightly out
      of hand from measure and perfect the ASM-1 VCOs, which is where I
      started.<br>
    </p>
    <p>Cheers,<br>
      Magnus<br>
    </p>
    <div class="moz-cite-prefix">On 2020-02-13 15:21, Tom Wiltshire
      wrote:<br>
    </div>
    <blockquote type="cite"
      cite="mid:5695A29F-585E-46DF-9200-D31806E74704@electricdruid.net">
      <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
      Thanks Magnus.
      <div class=""><br class="">
      </div>
      <div class="">What’s the “ghetto” way of doing such a test?!</div>
      <div class=""><br class="">
      </div>
      <div class="">I don’t have either a reference source of
        frequencies that high (25-600KHz) or a spectrum analyser. The
        scope does an FFT, but that’s as close as it gets. I don’t even
        have a very accurate way to measure frequencies, much less while
        they’re jumping about.</div>
      <div class=""><br class="">
      </div>
      <div class="">Tom</div>
      <div class=""><br class="">
        <div class="">
          <div style="word-wrap: break-word; -webkit-nbsp-mode: space;
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              orphans: auto; text-align: start; text-indent: 0px;
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              word-spacing: 0px; -webkit-text-stroke-width: 0px;">==================<br
                class="">
                     Electric Druid<br class="">
              Synth & Stompbox DIY<br class="">
              ==================</div>
          </div>
        </div>
        <div><br class="">
          <blockquote type="cite" class="">
            <div class="">On 13 Feb 2020, at 14:15, Magnus Danielson
              <<a href="mailto:magnus@rubidium.se" class=""
                moz-do-not-send="true">magnus@rubidium.se</a>> wrote:</div>
            <br class="Apple-interchange-newline">
            <div class="">
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              <div class="">
                <p class="">Hi,</p>
                <p class="">The classical wow and flutter test is to use
                  a reference signal and then measure side-band noise.</p>
                <p class="">One way is to phase-lock an oscillator, as
                  the phase-lock locks up, the lock forces the output of
                  the phase-detector to produce side-band. Measure the
                  noise out of the phase-detector, preferably with
                  spectrum analyzer. With a separate oscillator being
                  inserted offset from the carrier, with known amplitude
                  and offset relative the carrier, the scale can be
                  calibrated.<br class="">
                </p>
                <p class="">Report noise amplitude in reference to the
                  amplitude of the carrier wave. This phase-noise
                  measurement is essentially what is described in IEEE
                  Std 1139.</p>
                <p class="">Cheers,<br class="">
                  Magnus<br class="">
                </p>
                <div class="moz-cite-prefix">On 2020-02-11 13:06, Tom
                  Wiltshire wrote:<br class="">
                </div>
                <blockquote type="cite"
                  cite="mid:5123C853-5DF1-4B57-84D4-664DCA74BD1D@electricdruid.net"
                  class="">
                  <meta http-equiv="Content-Type" content="text/html;
                    charset=UTF-8" class="">
                  Hi All,
                  <div class=""><br class="">
                  </div>
                  <div class="">I thought I’d give you an update on
                    this.</div>
                  <div class=""><br class="">
                  </div>
                  <div class="">I’ve been able implement some of the
                    ideas you all provided, although it wasn’t
                    straightforward (is it ever?).</div>
                  <div class=""><br class="">
                  </div>
                  <div class="">Moving to the new chip allowed me to
                    double the NCO clock to 32MHz (idea 1). I also
                    doubled the frequency increment to use more
                    resolution in the NCO (idea2). This means that the
                    NCO output is four times higher than I need it, so I
                    then have to implement /4 somehow (idea 3). Luckily
                    there are two “Configurable Logic Cells” on the chip
                    that can be set up as divide-by-two flip-flops.
                    Unfortunately they don’t accept the output from the
                    NCO as an input, so I had to route the NCO via
                    another module (the “Digital Signal Modulator”)
                    set-up to pass the NCO straight through. The final
                    divided NCO output goes to the “Complementary
                    Waveform Generator” module that makes the final
                    biphase-output-with-deadband that I need.</div>
                  <div class=""><br class="">
                  </div>
                  <div class="">In summary, the final “BBD Clock” uses
                    five different hardware modules on the 16F18313
                    chip! It looks like this:</div>
                  <div class=""> </div>
                  <div class="">NCO -> DSM -> CLC1 -> CLC2
                    -> CWG</div>
                  <div class=""><br class="">
                  </div>
                  <div class="">Ok, so in theory I should see some
                    improvement in performance. Now I come to my new
                    question! -</div>
                  <div class=""><br class="">
                  </div>
                  <div class="">How can I evaluate the performance of
                    this version against the old version?</div>
                  <div class=""><br class="">
                  </div>
                  <div class="">Currently the only real metric I have is
                    “does it sound noisy?” when it’s put in the final
                    circuit. This isn’t great since the noise level
                    depends very heavily on the exact relationship
                    between the frequency increment and the NCO length,
                    so it can vary markedly for quite small changes.</div>
                  <div class=""><br class="">
                  </div>
                  <div class="">Thanks,</div>
                  <div class="">Tom</div>
                  <div class=""><br class="">
                    <div class="">
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                          text-transform: none; white-space: normal;
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                          0px;" class="">==================<br class="">
                                 Electric Druid<br class="">
                          Synth & Stompbox DIY<br class="">
                          ==================</div>
                      </div>
                    </div>
                    <div class=""><br class="">
                      <blockquote type="cite" class="">
                        <div class="">On 31 Jan 2020, at 12:07, Tom
                          Wiltshire <<a
                            href="mailto:tom@electricdruid.net" class=""
                            moz-do-not-send="true">tom@electricdruid.net</a>>
                          wrote:</div>
                        <br class="Apple-interchange-newline">
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                          <meta http-equiv="Content-Type"
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                          <div style="word-wrap: break-word;
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                            after-white-space;" class="">Ok, so the
                            advice would be:
                            <div class=""><br class="">
                            </div>
                            <div class="">1) Use the highest NCO clock I
                              can to minimise jitter</div>
                            <div class="">2) Increase the frequency
                              increments as much as possible to use as
                              much of the available increment resolution
                              as I can</div>
                            <div class="">3) Divide the resulting
                              frequency down if it’s too much high</div>
                            <div class="">4) Add a little bit of dither
                              to break up audible cycles/tones</div>
                            <div class="">5) Sample the LFO at as high a
                              frequency as possible</div>
                            <div class=""><br class="">
                            </div>
                            <div class="">Is that a fair summary?
                              Anything I’ve missed? (Noise shaping the
                              dither, I suppose)</div>
                            <div class=""><br class="">
                            </div>
                            <div class="">For (1) I can move the clock
                              from 16MHz to 32MHz, so there’s a small
                              improvement.</div>
                            <div class="">For (2) we can increase the
                              frequency increment, assuming I can work
                              out a way to get the chip to provide the
                              division for (3). If I could run the NCO
                              at (say) x8 of the frequency I need, that
                              might offer some real benefit.</div>
                            <div class="">The dither (4) doesn’t really
                              depend on anything else, so that should be
                              do-able.</div>
                            <div class="">The LFO sample frequency
                              should also be able to increase since the
                              whole chip is running twice as fast as the
                              previous generation (32 vs 16MHz again).
                              So everything else being equal, I might be
                              able to up the LFO sample rate to 50KHz or
                              so. However, that seems a bit crazy
                              (audio-rate sampling for an LFO with a max
                              of 20Hz) and instead I might do better to
                              add some interpolation of the frequency
                              increment at the end of each cycle. E.g.
                              We’re aiming for an increment of X, and
                              we’ve got an increment of Y, so next cycle
                              uses X+x to get a bit closer. The
                              difficulty there is that we need to know
                              how many NCO cycles there will be before
                              our next LFO sample, and that sounds
                              horribly like division! So maybe just
                              whacking the LFO sample rate up is in fact
                              the best you can do for that after all.</div>
                            <div class=""><br class="">
                            </div>
                            <div class="">Thanks,</div>
                            <div class="">Tom</div>
                            <div class=""><br class="">
                              <div class="">
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                                    class="">==================<br
                                      class="">
                                           Electric Druid<br class="">
                                    Synth & Stompbox DIY<br class="">
                                    ==================</div>
                                </div>
                              </div>
                              <div class=""><br class="">
                                <blockquote type="cite" class="">
                                  <div class="">On 28 Jan 2020, at
                                    13:07, René Schmitz <<a
                                      href="mailto:synth@schmitzbits.de"
                                      class="" moz-do-not-send="true">synth@schmitzbits.de</a>>
                                    wrote:</div>
                                  <br class="Apple-interchange-newline">
                                  <div class=""><span
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                                      class="">Hi Richie,</span><br
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                                      class="">
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                                      class="">
                                    <span style="caret-color: rgb(0, 0,
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                                      none; display: inline !important;"
                                      class="">On 28.01.2020 13:23,<span
                                        class="Apple-converted-space"> </span></span><a
href="mailto:rburnett@richieburnett.co.uk" style="font-family:
                                      Helvetica; font-size: 12px;
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                                      auto; text-align: start;
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                                      auto; word-spacing: 0px;
                                      -webkit-text-size-adjust: auto;
                                      -webkit-text-stroke-width: 0px;"
                                      class="" moz-do-not-send="true">rburnett@richieburnett.co.uk</a><span
                                      style="caret-color: rgb(0, 0, 0);
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                                      class=""><span
                                        class="Apple-converted-space"> </span>wrote:</span><br
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                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <span style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none; float:
                                      none; display: inline !important;"
                                      class="">>>> What I don’t
                                      understand though is how this
                                      helps. Increasing the</span><br
                                      style="caret-color: rgb(0, 0, 0);
                                      font-family: Helvetica; font-size:
                                      12px; font-style: normal;
                                      font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <span style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none; float:
                                      none; display: inline !important;"
                                      class="">>>> output
                                      frequency is going to increase
                                      aliasing too, and dividing it</span><br
                                      style="caret-color: rgb(0, 0, 0);
                                      font-family: Helvetica; font-size:
                                      12px; font-style: normal;
                                      font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <span style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none; float:
                                      none; display: inline !important;"
                                      class="">>>> down again
                                      afterwards doesn’t seem to remove
                                      that to me. How does</span><br
                                      style="caret-color: rgb(0, 0, 0);
                                      font-family: Helvetica; font-size:
                                      12px; font-style: normal;
                                      font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <span style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none; float:
                                      none; display: inline !important;"
                                      class="">>>> this work
                                      please, René?</span><br
                                      style="caret-color: rgb(0, 0, 0);
                                      font-family: Helvetica; font-size:
                                      12px; font-style: normal;
                                      font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <span style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none; float:
                                      none; display: inline !important;"
                                      class="">>></span><br
                                      style="caret-color: rgb(0, 0, 0);
                                      font-family: Helvetica; font-size:
                                      12px; font-style: normal;
                                      font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <span style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none; float:
                                      none; display: inline !important;"
                                      class="">>>  It's a standard
                                      trick. With higher DDS clock you
                                      get smaller</span><br
                                      style="caret-color: rgb(0, 0, 0);
                                      font-family: Helvetica; font-size:
                                      12px; font-style: normal;
                                      font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <span style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none; float:
                                      none; display: inline !important;"
                                      class="">>> time-errors, and
                                      then the divide down just removes
                                      transitions between</span><br
                                      style="caret-color: rgb(0, 0, 0);
                                      font-family: Helvetica; font-size:
                                      12px; font-style: normal;
                                      font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <span style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none; float:
                                      none; display: inline !important;"
                                      class="">>> the transitions.
                                      Higher synthesized frequency
                                      allows you to use more</span><br
                                      style="caret-color: rgb(0, 0, 0);
                                      font-family: Helvetica; font-size:
                                      12px; font-style: normal;
                                      font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <span style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none; float:
                                      none; display: inline !important;"
                                      class="">>> of the upper
                                      bits of the DDS, to achieve more
                                      effective bits useable</span><br
                                      style="caret-color: rgb(0, 0, 0);
                                      font-family: Helvetica; font-size:
                                      12px; font-style: normal;
                                      font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <span style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none; float:
                                      none; display: inline !important;"
                                      class="">>> in the DDS.</span><br
                                      style="caret-color: rgb(0, 0, 0);
                                      font-family: Helvetica; font-size:
                                      12px; font-style: normal;
                                      font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <span style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none; float:
                                      none; display: inline !important;"
                                      class="">></span><br
                                      style="caret-color: rgb(0, 0, 0);
                                      font-family: Helvetica; font-size:
                                      12px; font-style: normal;
                                      font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <span style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none; float:
                                      none; display: inline !important;"
                                      class="">> Ok, so this allows
                                      you to make better use of the
                                      available DDS frequency</span><br
                                      style="caret-color: rgb(0, 0, 0);
                                      font-family: Helvetica; font-size:
                                      12px; font-style: normal;
                                      font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <span style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none; float:
                                      none; display: inline !important;"
                                      class="">> bit resolution, by
                                      synthesising a higher output
                                      frequency and then</span><br
                                      style="caret-color: rgb(0, 0, 0);
                                      font-family: Helvetica; font-size:
                                      12px; font-style: normal;
                                      font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <span style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none; float:
                                      none; display: inline !important;"
                                      class="">> dividing it down.
                                       But it doesn't do anything to
                                      help with</span><br
                                      style="caret-color: rgb(0, 0, 0);
                                      font-family: Helvetica; font-size:
                                      12px; font-style: normal;
                                      font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <span style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none; float:
                                      none; display: inline !important;"
                                      class="">> jitter/aliasing at
                                      the top end.</span><br
                                      style="caret-color: rgb(0, 0, 0);
                                      font-family: Helvetica; font-size:
                                      12px; font-style: normal;
                                      font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <br style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <span style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none; float:
                                      none; display: inline !important;"
                                      class="">Here are your original
                                      points:</span><br
                                      style="caret-color: rgb(0, 0, 0);
                                      font-family: Helvetica; font-size:
                                      12px; font-style: normal;
                                      font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <span style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none; float:
                                      none; display: inline !important;"
                                      class="">1) Resampling of the LFO
                                      output by the NCO reset</span><br
                                      style="caret-color: rgb(0, 0, 0);
                                      font-family: Helvetica; font-size:
                                      12px; font-style: normal;
                                      font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <span style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none; float:
                                      none; display: inline !important;"
                                      class="">2) Frequency stepping
                                      caused by the NCO minimum
                                      frequency step</span><br
                                      style="caret-color: rgb(0, 0, 0);
                                      font-family: Helvetica; font-size:
                                      12px; font-style: normal;
                                      font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <span style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none; float:
                                      none; display: inline !important;"
                                      class="">3) Jitter cycles caused
                                      by the NCO</span><br
                                      style="caret-color: rgb(0, 0, 0);
                                      font-family: Helvetica; font-size:
                                      12px; font-style: normal;
                                      font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <br style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <span style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none; float:
                                      none; display: inline !important;"
                                      class="">Well it helps updating
                                      your NCO more frequently, because
                                      each cycle is shorter now. I.e.
                                      higher sampling rate of your LFO.</span><br
                                      style="caret-color: rgb(0, 0, 0);
                                      font-family: Helvetica; font-size:
                                      12px; font-style: normal;
                                      font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <br style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <span style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none; float:
                                      none; display: inline !important;"
                                      class="">The NCOs minimum
                                      frequency step is reduced. Because
                                      the tuning word effectively shifts
                                      right, bringing in room for more
                                      LSBs.</span><br
                                      style="caret-color: rgb(0, 0, 0);
                                      font-family: Helvetica; font-size:
                                      12px; font-style: normal;
                                      font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <br style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <span style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none; float:
                                      none; display: inline !important;"
                                      class="">The cycle to cycle time
                                      variation (aka jitter) is still
                                      1/f(clock) of your NCO. Not really
                                      an improvement there by the
                                      division, if you run the NCO at
                                      the same frequency as before. But
                                      if you can run the NCO clock
                                      higher then the variation is
                                      reduced.</span><br
                                      style="caret-color: rgb(0, 0, 0);
                                      font-family: Helvetica; font-size:
                                      12px; font-style: normal;
                                      font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <br style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <span style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none; float:
                                      none; display: inline !important;"
                                      class="">Best,</span><br
                                      style="caret-color: rgb(0, 0, 0);
                                      font-family: Helvetica; font-size:
                                      12px; font-style: normal;
                                      font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <span style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none; float:
                                      none; display: inline !important;"
                                      class="">René</span><br
                                      style="caret-color: rgb(0, 0, 0);
                                      font-family: Helvetica; font-size:
                                      12px; font-style: normal;
                                      font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <br style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <span style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none; float:
                                      none; display: inline !important;"
                                      class="">--</span><br
                                      style="caret-color: rgb(0, 0, 0);
                                      font-family: Helvetica; font-size:
                                      12px; font-style: normal;
                                      font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <a
                                      href="mailto:synth@schmitzbits.de"
                                      style="font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal; orphans:
                                      auto; text-align: start;
                                      text-indent: 0px; text-transform:
                                      none; white-space: normal; widows:
                                      auto; word-spacing: 0px;
                                      -webkit-text-size-adjust: auto;
                                      -webkit-text-stroke-width: 0px;"
                                      class="" moz-do-not-send="true">synth@schmitzbits.de</a><br
                                      style="caret-color: rgb(0, 0, 0);
                                      font-family: Helvetica; font-size:
                                      12px; font-style: normal;
                                      font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <a href="http://schmitzbits.de/"
                                      style="font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal; orphans:
                                      auto; text-align: start;
                                      text-indent: 0px; text-transform:
                                      none; white-space: normal; widows:
                                      auto; word-spacing: 0px;
                                      -webkit-text-size-adjust: auto;
                                      -webkit-text-stroke-width: 0px;"
                                      class="" moz-do-not-send="true">http://schmitzbits.de</a><br
                                      style="caret-color: rgb(0, 0, 0);
                                      font-family: Helvetica; font-size:
                                      12px; font-style: normal;
                                      font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <span style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none; float:
                                      none; display: inline !important;"
                                      class="">_______________________________________________</span><br
                                      style="caret-color: rgb(0, 0, 0);
                                      font-family: Helvetica; font-size:
                                      12px; font-style: normal;
                                      font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <span style="caret-color: rgb(0, 0,
                                      0); font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none; float:
                                      none; display: inline !important;"
                                      class="">Synth-diy mailing list</span><br
                                      style="caret-color: rgb(0, 0, 0);
                                      font-family: Helvetica; font-size:
                                      12px; font-style: normal;
                                      font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <a
                                      href="mailto:Synth-diy@synth-diy.org"
                                      style="font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal; orphans:
                                      auto; text-align: start;
                                      text-indent: 0px; text-transform:
                                      none; white-space: normal; widows:
                                      auto; word-spacing: 0px;
                                      -webkit-text-size-adjust: auto;
                                      -webkit-text-stroke-width: 0px;"
                                      class="" moz-do-not-send="true">Synth-diy@synth-diy.org</a><br
                                      style="caret-color: rgb(0, 0, 0);
                                      font-family: Helvetica; font-size:
                                      12px; font-style: normal;
                                      font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal;
                                      text-align: start; text-indent:
                                      0px; text-transform: none;
                                      white-space: normal; word-spacing:
                                      0px; -webkit-text-stroke-width:
                                      0px; text-decoration: none;"
                                      class="">
                                    <a
                                      href="http://synth-diy.org/mailman/listinfo/synth-diy"
                                      style="font-family: Helvetica;
                                      font-size: 12px; font-style:
                                      normal; font-variant-caps: normal;
                                      font-weight: normal;
                                      letter-spacing: normal; orphans:
                                      auto; text-align: start;
                                      text-indent: 0px; text-transform:
                                      none; white-space: normal; widows:
                                      auto; word-spacing: 0px;
                                      -webkit-text-size-adjust: auto;
                                      -webkit-text-stroke-width: 0px;"
                                      class="" moz-do-not-send="true">http://synth-diy.org/mailman/listinfo/synth-diy</a></div>
                                </blockquote>
                              </div>
                              <br class="">
                            </div>
                          </div>
_______________________________________________<br class="">
                          Synth-diy mailing list<br class="">
                          <a href="mailto:Synth-diy@synth-diy.org"
                            class="" moz-do-not-send="true">Synth-diy@synth-diy.org</a><br
                            class="">
                          <a class="moz-txt-link-freetext"
                            href="http://synth-diy.org/mailman/listinfo/synth-diy"
                            moz-do-not-send="true">http://synth-diy.org/mailman/listinfo/synth-diy</a><br
                            class="">
                        </div>
                      </blockquote>
                    </div>
                    <br class="">
                  </div>
                  <br class="">
                  <fieldset class="mimeAttachmentHeader"></fieldset>
                  <pre class="moz-quote-pre" wrap="">_______________________________________________
Synth-diy mailing list
<a class="moz-txt-link-abbreviated" href="mailto:Synth-diy@synth-diy.org" moz-do-not-send="true">Synth-diy@synth-diy.org</a>
<a class="moz-txt-link-freetext" href="http://synth-diy.org/mailman/listinfo/synth-diy" moz-do-not-send="true">http://synth-diy.org/mailman/listinfo/synth-diy</a>
</pre>
                </blockquote>
              </div>
              _______________________________________________<br
                class="">
              Synth-diy mailing list<br class="">
              <a href="mailto:Synth-diy@synth-diy.org" class=""
                moz-do-not-send="true">Synth-diy@synth-diy.org</a><br
                class="">
              <a class="moz-txt-link-freetext" href="http://synth-diy.org/mailman/listinfo/synth-diy">http://synth-diy.org/mailman/listinfo/synth-diy</a><br
                class="">
            </div>
          </blockquote>
        </div>
        <br class="">
      </div>
    </blockquote>
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