xen15-chalmers-triadic-diamond-8-7

Triadic diamond for M=8/7, D=3/2

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	7
Period	1200.0 ¢
Just	7-limit
Construction	`triadic_diamond(Fraction(8, 7), Fraction(3, 2))`
Source	Xenharmonikon 15
Reference	John H. Chalmers, Jr., The Triadic Diamond, the Triadic Reversed Diamond, and their Constituent Tetrachords when D=3/2, Xenharmonikon 15 (1993), p.64
Author	John H. Chalmers, Jr.
Article	124 scales

Tone	Tone (¢)	Step	Step (¢)
8/7	231	8/7	231
21/16	471	147/128	240
4/3	498	64/63	27
3/2	702	9/8	204
32/21	729	64/63	27
7/4	969	147/128	240
2/1	1200	8/7	231

Similar scales

File	Notes	Rotation	Max diff (¢)
xen15-chalmers-triadic-diamond-17-13	7	0	6.4
xen09-chalmers-tritriadic-1-3-7	7	1	8.4
xen15-chalmers-triadic-diamond-23-20	7	0	10.8
xen15-chalmers-triadic-diamond-15-13	7	0	16.6
xen15-chalmers-triadic-diamond-35-27	7	0	21.5
xen15-chalmers-triadic-diamond-22-17	7	0	24.4

Parent scales

File	Notes	Max diff (¢)
septicyc	11	4.1
mothra11sub	11	6.7
xen18-erlich-cynder-11	11	7.4
mothra11rat	11	8.4
blackjack_r	21	0.0
xen18-keenan-just-blackjack	21	0.0
tripenta	15	6.3
blaj	21	1.9
zeus24	24	0.5
xen18-erlich-cynder-16	16	7.4

Child scales

File	Notes	Max diff (¢)
pygmie	5	0.0
DR_Congo_Vocal_02	5	0.2
Indonesia_Udanriris	5	6.8
xen18-erlich-cynder-06	6	7.4
xen18-erlich-cynder-05	5	7.4
edo-05	5	9.2
xen18-ayers-table-24	5	9.2
Indonesia_Sadadpengasih	5	10.8
Indonesia_Gam_GPH_Hangabehi	5	12.0
xen18-erlich-blacksmith-05	5	12.1

Raw file

! xen15-chalmers-triadic-diamond-8-7.scl
!
Triadic diamond for M=8/7, D=3/2
 7
!
 8/7
 21/16
 4/3
 3/2
 32/21
 7/4
 2/1
!
! John H. Chalmers, Jr.
! The Triadic Diamond, the Triadic Reversed Diamond, and their Constituent Tetrachords when D=3/2
! Xenharmonikon 15 (1993), p.64
!
! [info]
! source = Xenharmonikon
! whole_number = 15
! article = triadic