[sdiy] Top Octave Generator (was Chinese MG-1s??!?)

[Donald Tillman]

   > From: ASSI <Stromeko at nexgo.de>
   > Date: Sun, 4 May 2008 20:35:46 +0200
   > 
   > On Sonntag 04 Mai 2008, Donald Tillman wrote:
   > > Looking to the Hammond Organ for inspiration (yet again!) note that
   > > the gears in the Hammond are tuned in ratios, not a simple
   > > divide-by-N.  Gear ratios give you much greater resolution with
   > > smaller numbers and the synchronization takes on a very different
   > > character.
   > 
   > This just means that they can all be produced by integer division from a 
   > sufficiently large number.

True, but how large a "sufficiently large number" are you thinking of?
:-)

Here are the Hammond gear ratios:

  Note    Ratio
  ---------------
   C    [ 85 104]
   C#   [ 71  82]
   D    [ 67  73]
   D#   [105 108]
   E    [103 100]
   F    [ 84  77]
   F#   [ 74  64]
   G    [ 98  80]
   G#   [ 96  74]
   A    [ 88  64]
   A#   [ 67  46]
   B    [108  70]

I'm thinking the least common multiple is 110,142,289,857,600 (!!!).

  -- Don

-- 
Don Tillman
Palo Alto, California
don at till.com
http://www.till.com