back to list

For Dave

🔗Gene W Smith <genewardsmith@juno.com>

6/16/2002 1:49:42 AM

On Sun, 16 Jun 2002 01:06:46 -0700 Gene W Smith <genewardsmith@juno.com>
writes:

Is this the sort of thing you were looking for?

> [0, 5, 16, 23, 30, 35, 42, 53, 58, 65] [5, 11, 7, 7, 5, 7, 11, 5,
> 7, 7]

A 5-limit version of this is [1, 135/128, 75/64, 5/4, 4/3, 45/32, 3/2,
5/3, 225/128, 15/8, 2]

> [0, 7, 12, 23, 30, 37, 42, 53, 58, 65] [7, 5, 11, 7, 7, 5, 11, 5,
> 7, 7]

A 5-limit version of this is [1, 16/15, 9/8, 5/4, 4/3, 64/45, 3/2, 5/3,
225/128, 15/8, 2]

This is all modulo the Pythagorean comma 3^12~1 in terms of octave
classes, and Ampersand's,
which is 3^7 5^6 ~1.

🔗dkeenanuqnetau <d.keenan@uq.net.au>

6/17/2002 3:49:23 AM

--- In tuning@y..., Gene W Smith <genewardsmith@j...> wrote:
>
>
> On Sun, 16 Jun 2002 01:06:46 -0700 Gene W Smith <genewardsmith@j...>
> writes:
>
> Is this the sort of thing you were looking for?
>
> > [0, 5, 16, 23, 30, 35, 42, 53, 58, 65] [5, 11, 7, 7, 5, 7, 11,
5,
> > 7, 7]
>
> A 5-limit version of this is [1, 135/128, 75/64, 5/4, 4/3, 45/32,
3/2,
> 5/3, 225/128, 15/8, 2]
>
> > [0, 7, 12, 23, 30, 37, 42, 53, 58, 65] [7, 5, 11, 7, 7, 5, 11,
5,
> > 7, 7]
>
> A 5-limit version of this is [1, 16/15, 9/8, 5/4, 4/3, 64/45, 3/2,
5/3,
> 225/128, 15/8, 2]
>
> This is all modulo the Pythagorean comma 3^12~1 in terms of octave
> classes, and Ampersand's,
> which is 3^7 5^6 ~1.

No. Something much simpler. I'll respond in the original thread.