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what are these?

🔗Carl Lumma <ekin@lumma.org>

6/1/2006 1:31:03 PM

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

🔗Keenan Pepper <keenanpepper@gmail.com>

6/1/2006 5:03:05 PM

On 6/1/06, Carl Lumma <ekin@lumma.org> 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