Octave Stretch in other Lands

[Jim Coleman, Sr.]

Hi Richard:

What you are doing is striking a good balance between 2:1, 4:2, and 6:3
octaves. This is a good balance. The tip off was when you said you are
trying to get a musical sound in the balance of 12th and 19ths when 
possible. This is natural stretch. It also helps the triple octave to
sound more reasonable.

In this kind of balance, the 2:1 relationship beats very slowly anyway.

Jim coleman, Sr.

On Sat, 6 Mar 1999, Richard Moody wrote:

> 
> 
> > 
> > In the middle sections we automatically listen to the 4:2, the bass
> > the 6:3 and in the treble to 2:1.
> > 
> > 		Newton
> 
> I thought in tuning any octave, the second partial of the bottom note was
> beating with the first partial of the top note.  When the octave sounds
> beatless so are the 4th and 2nd partials and the 6:3.  If we are not
> hearing the first two partials, how do we know which of the others we are
> hearing?
> 
> Even though I use the 3rd--10th test, I do  not tune using tenths. (I
> can't reach that far for one thing) That is supposed to be a comparison of
> the 4:2 partials. But if I go back and tweek the octave again,  I assume I
> am only hearing (tuning to) the 2:1 partials.  Even though the 3rd--10th 
> involves the 4 and second partials in the octave  I never knew these to be
> out of tune with the 2:1.   
> Now if you get into double and triple octaves, and these are different in
> bass and treble, and from piano to piano, that is another story, but there
> you are trying to get at least the 12ths (and 19ths if you have the time
> and the piano) to sound musical with your octaves.This is what I call
> "stretching" octaves...taking your octaves wide(slightly) of pure to make
> the fifths 12ths and 19ths and the piano as a whole "sound better".  
> 
> Richard Moody 
>