20 Equal

Have you tried the 11 from 20 subset

0 2 4 6 8 9 11 13 15 17 19 (0
??
or as differences?
22221222221

Mark G

> Message: 1
> Date: Sat, 26 Apr 2003 19:38:44 -0000
> From: "daniel_anthony_stearns" <daniel_anthony_stearns@yahoo.com>
> Subject: the 5, 3, 3 in 20-tone equal temperament
>
> I'm going to be refretting another guitar to 20-tone equal
>
> I already have a good idea of what I'm going to do, but I'd be
> interested in any additional perspectives and input regarding the big
> 11-out-of-17-out-of-31 composite and how it relates to 20-tet (as
> well as how it might best sit on the guitar, etc).
>
>
>
> Dan Stearns
> Guitarist-composer-microtonalist:
> http://www.zebox.com/daniel_anthony_stearns/

Yes, I did quite a bit of experimenting with these a while back.

The way I saw it, this was a 2,9 scale with a narrow fifth generator
in a 1D lattice space and a 2,2,7 scale with a neutral third, narrow
fifth generator in a 2D lattice space.

If you were to use a Fibonacci interpretation you'd have a 658.6163
generator with a 27.6748 comma in 1DLS (a sort of generalized
Pythagorean comma):

0 117 234 352 469 541 659 776 893 1010 1128 1200
0 117 234 352 424 541 659 776 893 1010 1083 1200
0 117 234 307 424 541 659 776 893 966 1083 1200
0 117 190 307 424 541 659 776 848 966 1083 1200
0 72 190 307 424 541 659 731 848 966 1083 1200
0 117 234 352 469 586 659 776 893 1010 1128 1200
0 117 234 352 469 541 659 776 893 1010 1083 1200
0 117 234 352 424 541 659 776 893 966 1083 1200
0 117 234 307 424 541 659 776 848 966 1083 1200
0 117 190 307 424 541 659 731 848 966 1083 1200
0 72 190 307 424 541 614 731 848 966 1083 1200

If you were to use a Tribonacci interpretation you'd have a 348.8799,
661.4379 generator with a 19.7478 comma in 2DLS--as well as a
generalized 36.3218 minor chroma and a 56.0696 major chroma:

0 123 246 349 472 539 661 784 887 1010 1133 1200
0 123 226 349 416 539 661 765 887 1010 1077 1200
0 103 226 293 416 539 642 765 887 954 1077 1200
0 123 190 313 435 539 661 784 851 974 1097 1200
0 67 190 313 416 539 661 728 851 974 1077 1200
0 123 246 349 472 595 661 784 907 1010 1133 1200
0 123 226 349 472 539 661 784 887 1010 1077 1200
0 103 226 349 416 539 661 765 887 954 1077 1200
0 123 246 313 435 558 661 784 851 974 1097 1200
0 123 190 313 435 539 661 728 851 974 1077 1200
0 67 190 313 416 539 605 728 851 954 1077 1200

Dan Stearns
Guitarist-composer-microtonalist:
http://www.zebox.com/daniel_anthony_stearns/

--- In tuning@yahoogroups.com, Mark Gould <mark.gould@a...> wrote:
> Have you tried the 11 from 20 subset
>
> 0 2 4 6 8 9 11 13 15 17 19 (0
> ??
> or as differences?
> 22221222221
>
> Mark G
>
> > Message: 1
> > Date: Sat, 26 Apr 2003 19:38:44 -0000
> > From: "daniel_anthony_stearns" <daniel_anthony_stearns@y...>
> > Subject: the 5, 3, 3 in 20-tone equal temperament
> >
> > I'm going to be refretting another guitar to 20-tone equal
> >
> > I already have a good idea of what I'm going to do, but I'd be
> > interested in any additional perspectives and input regarding the
big
> > 11-out-of-17-out-of-31 composite and how it relates to 20-tet (as
> > well as how it might best sit on the guitar, etc).
> >
> >
> >
> > Dan Stearns
> > Guitarist-composer-microtonalist:
> > http://www.zebox.com/daniel_anthony_stearns/