Topic: A 13-limit JI scale

1 scales

Thread (4 messages)

From: Gene Ward Smith (2003-10-20)
Subject: A 13-limit JI scale

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

From: Manuel Op de Coul (2003-10-21)
Subject: Re: [tuning-math] A 13-limit JI scale

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

Manuel

From: Gene Ward Smith (2003-10-21)
Subject: Re: A 13-limit JI scale

--- 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!

From: Manuel Op de Coul (2003-10-22)
Subject: Re: [tuning-math] Re: A 13-limit JI scale

>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