xen15-chalmers-triadic-reversed-diamond-81-64

Triadic reversed diamond for M=81/64, D=3/2

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Properties

Notes	7
Period	1200.0 ¢
Just	3-limit
Construction	`triadic_reversed_diamond(Fraction(81, 64), 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.65
Author	John H. Chalmers, Jr.
Article	124 scales

Tone	Tone (¢)	Step	Step (¢)
256/243	90	256/243	90
81/64	408	19683/16384	318
4/3	498	256/243	90
3/2	702	9/8	204
128/81	792	256/243	90
243/128	1110	19683/16384	318
2/1	1200	256/243	90

Similar scales

File	Notes	Rotation	Max diff (¢)
xen15-chalmers-triadic-reversed-diamond-24-19	7	0	3.4
xen15-chalmers-triadic-reversed-diamond-33-26	7	0	4.9
xen15-chalmers-triadic-reversed-diamond-34-27	7	0	8.7
xen15-chalmers-triadic-reversed-diamond-14-11	7	0	9.7
xen15-chalmers-triadic-reversed-diamond-64-51	7	0	14.7
xen15-chalmers-triadic-reversed-diamond-23-18	7	0	16.5
xen15-chalmers-triadic-reversed-diamond-32-25	7	0	19.6
xen09-wilson-marwa-14a-06	7	2	21.5
xen10-wilson-purvi-10c-07	7	2	21.5
xen07-london-didymus	7	0	21.5

Parent scales

File	Notes	Max diff (¢)
xen03-wilson-positive-12	12	0.0
xen18-erlich-helmholtz-12	12	1.0
xen18-erlich-garibaldi-12	12	1.9
diadiaschis1	12	2.0
diadiaschis2	12	2.0
mistyschism2	12	2.0
mistyschism3	12	2.0
raintree	12	2.0
schisdia5	12	2.0
nakika12	12	2.4

Child scales

File	Notes	Max diff (¢)
ForJustin-pentatonic001	5	9.7
xen07-harrison-thoughts-7	5	21.5

Raw file

! xen15-chalmers-triadic-reversed-diamond-81-64.scl
!
Triadic reversed diamond for M=81/64, D=3/2
 7
!
 256/243
 81/64
 4/3
 3/2
 128/81
 243/128
 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.65
!
! [info]
! source = Xenharmonikon
! whole_number = 15
! article = triadic