[sdiy] Request brain dump on balanced lines -- harmonic numbering

[Dave Krooshof]

>Don Tillman wrote:
>
>>  Yes.  The first harmonic is the fundamental, the second harmonic is
>>  twice the frequency, third harmonic is three times the frequency, etc.

>Not true!
Huh?
I, for one, hear frequency as a linear thing (bogus remark).
Seriously, if you look at frequency as a linear scale, the above is true.
The frequencies, in Hertz, of a 100Hz tone are:
100, 200, 300, 400, 500 Hz etc.


>1/2+1/3+1/5+1/7+1/11+1/13, 1 being the fundemental frequency.
no, no, no. No, this isn't it. Revert to Pythagoras' insights.

>Put musically and not taking into account equal temporment,
Equal temperment is right out when discussing overtones.

>Harm no.                        interval relation to previous harmonic
You mean: overtone#.                     -----------------------------
Or the numbers are + 1.
I corrected to harm #.
>1    fundemental

>2                                   Oct (above the fundemental)
>3                                   fifth
>4                                   Fourth
>5                                   Maj third
>6                                   Min Third
>7                                   Major 2nd. Err. this a lot is 
>closer to a minor third.
>8                                   Minor 3rd  Err: closer to major 
>2nd. Due to the fact the previous harmonic
                                                 is "off" a bit, the 
interval is a bit odd.
                                                 This harmonic itself 
is three octaves above the fundamental.
>9                                  Minor 2nd Err. Major 2nd


  The questionmarks in Dons list are nice.
>  11    three octaves + ??
>  12    three octaves + fifth
>  13    three octaves + ??
These harmonics are out of key. Though I know a piano piece
by Clarence Barlow that used these harmonics to 4 keys per octave.
Halfway the piece got very enharmonic, UNTIL only those 4
notes tones were played, it all gets together nicely, smoothly.
He finished is "Ratio Book" recently. It's about ratios in music
for harmony, timbre, rythm.


>Say the word 'Cow"
Start overtonesinging. It's nice. It's loud. It's soothing (for 
yourself at least).
It's nicely annoying.
It will make you understand filters and math.
Tuvians understand it as a prism:
As if you devide the light in to seperate colours, and play by
choosing one colour to pass through.


Dave


Ps. Advice for survival at parties part 2:
Should they tell you that you should live in harmony, tell them you 
are in 11 and 13,
so still out of tune, though fundamentally correct.
(advice one was: don't be harmonic, or you will, one day, crash on a 
nearby moon.
point was proven by looking at saturnus)
BTW: Harry has _the_ hippy solution for personal high frequency instabilities.

--