Re:periodicity block morphing

>> Hopefully one last question-is it possible to retain a constant
structure
>> and have 7/6 rather than 65/56 ? I love the sound of the subminor
and
>> subminor 7th chords and it would be great to have these available on
1/1.

Paul wrote

>I take it you're not really asking about CS but asking if it's
>possible to maintain the 80:81 minimum step size and/or the
>superparticularity of the steps?

Well I guess so.

The 65/56 if replaced with 7/6 makes a 49/48 superparticular interval with
the preceeding 8/7 and a 99/98 interval with the following step [33/28].
This interval at 18.5 cents is less than a syntonic comma [81/80, 20.5
cents]

I tried transposing the 25/21 with the complements of the unison vectors
and found only one that yielded a superparticular interval between scale
steps, 84/99 but the interval it formed was between 7/6 & 99/84 was 99/98
[less than the syntonic comma].

Justin White

DAVID JONES LIMITED ACN 000 074 573

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Justin --

If you want 7/6, why don't you just transpose the entire scale down a 3:2?

-Paul

Justin -- P.S. the vast majority of 13-limit periodicity blocks I found
(thousands) had 72 notes per octave. I'm sure steps of 99/98 are very common
in those. However, since you said you wantes 30-40 notes per octave, I
figured 41 was already pushing it . . .-Paul