Topic: what are these?

2 scales

Thread (2 messages)

From: Carl Lumma (2006-06-01)
Subject: what are these?

How would these be described?

! 10_serpent1.scl
!
 Two pentatonic chains of 7:4's rooted a 5:4 apart, tuned in 31-tet.
 10
!
 154.839 !.....4
 232.258 !.....6
 387.097 !....10
 464.516 !....12
 619.355 !....16
 696.774 !....18
 851.613 !....22
 967.742 !....25
 1083.871 !...28
 2/1 !........31
!
! Four 5-limit triads on 1-4-7, strictly proper.

! 10_serpent2.scl
!
 Two pentatonic chains of 3:2's rooted a 7:4 apart, tuned in 31-tet.
 10
!
 154.839 !......4
 193.548 !......5
 387.097 !.....10
 464.516 !.....12
 658.065 !.....17
 696.774 !.....18
 890.323 !.....23
 967.742 !.....25
 1161.290 !....30
 2/1 !.........31
!
! Four 5-limit triads on 1-4-7, not proper.

-Carl

From: Keenan Pepper (2006-06-02)
Subject: Re: [tuning-math] what are these?

On 6/1/06, Carl Lumma <[email protected]> wrote:
> How would these be described?

I would describe the first one as a subset of the 1029/1024 planar
temperament, and the second as a subset of the 7-limit 81/80 planar
temperament. Since you've presented them as subsets of 31-equal, of
course other commas are tempered out, but they're not important for
the harmony.

Keenan