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Paul wrote,

>note # cents ratio step step
cents ratio

>1 26.84 64/65 26.84 64/65
>2 53.27 32/33 26.43 65/66
>3 84.47 20/21 31.19 55/56
>4 119.44 14/15 34.98 49/50
>5 155.14 32/35 35.70 48/49
>6 182.40 9/10 27.26 63/64
>7 203.91 8/9 21.51 80/81
>8 231.17 7/8 27.26 63/64
>9 258.02 56/65 26.84 64/65
>10 284.45 28/33 26.43 65/66
>11 315.64 5/6 31.19 55/56
>12 351.34 40/49 35.70 48/49

I am quite impressed that you have manged to make a constant structure from
the scale. I was quite taken with Kraig Grady's centaur tuning [a 12 note
constant structure] and was thinking of using it on another of the
fretboards.

>Using the unison vector 196:195, we can change
>14/13 to 15/14
>84/65 to 9/7
>65/42 to 14/9
>7/6 to 65/56

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.

Is there a formula for creating CS [maybe scala could do it] ? For that
matter can scala make MOS scales?

Dammit that 's 3 questions !

Maybe those last too can be addressed to Manuel...

Justin White

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--- In tuning@egroups.com, "Justin White" <justin.white@d...> wrote:

> I am quite impressed that you have manged to make a constant
structure from
> the scale.

Don't be. Any periodicity block where the unison vectors are smaller
than the smallest steps will be CS.

> 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.

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?

>
> Is there a formula for creating CS [maybe scala could do it] ?

Scala can make Fokker periodicity blocks, but they come out in the
original (parallelopiped) form and often merit a number of unison
vector transpositions (as I did) to improve the scale harmonically and
melodically.

>For
>that
> matter can scala make MOS scales?

Undoubtedly.