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A 13-limit JI scale

🔗Gene Ward Smith <gwsmith@svpal.org>

10/20/2003 1:33:44 PM

I'm presenting this simply because I'm writing something in it. It is
irregular and has a lot of notes (41), but is useful because it has
fourteen complete 13-limit septads, 7 otonal and 7 utonal. It could be
tempered with (tempering out 10648/10647 is hardly likely to do any
damage, for instance) but I don't because the septads are all I need.

! sk13.scl
13-limit JI scale with 14 complete septads
41
!
33/32
27/26
21/20
15/14
13/12
12/11
9/8
15/13
7/6
33/28
6/5
39/32
27/22
5/4
33/26
9/7
21/16
4/3
27/20
15/11
11/8
18/13
39/28
3/2
21/13
13/8
18/11
33/20
5/3
27/16
12/7
7/4
39/22
9/5
11/6
24/13
15/8
21/11
27/14
39/20
2

🔗Manuel Op de Coul <manuel.op.de.coul@eon-benelux.com>

10/21/2003 2:43:57 AM

And a known one, it's a transposition of the 13-limit
Partch diamond.

Manuel

🔗Gene Ward Smith <gwsmith@svpal.org>

10/21/2003 12:21:11 PM

--- In tuning-math@yahoogroups.com, "Manuel Op de Coul"
<manuel.op.de.coul@e...> wrote:

> And a known one, it's a transposition of the 13-limit
> Partch diamond.

I presumed it was likely to be a known stellated something or other,
but Scala didn't tell me that. Is there I way I could have gotten it
to?

Thanks for the info!

🔗Manuel Op de Coul <manuel.op.de.coul@eon-benelux.com>

10/22/2003 2:28:09 AM

>I presumed it was likely to be a known stellated something or other,
>but Scala didn't tell me that. Is there I way I could have gotten it
>to?

I used the compare command. Another slightly crude way is
"iter/key lat/diam" and looking if you see a filled square.

Manuel