xen15-chalmers-triadic-diamond-81-64

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

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	7
Period	1200.0 ¢
Just	3-limit
Construction	`triadic_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.64
Author	John H. Chalmers, Jr.
Article	124 scales

Tone	Tone (¢)	Step	Step (¢)
32/27	294	32/27	294
81/64	408	2187/2048	114
4/3	498	256/243	90
3/2	702	9/8	204
128/81	792	256/243	90
27/16	906	2187/2048	114
2/1	1200	32/27	294

Similar scales

File	Notes	Max diff (¢)
xen15-chalmers-triadic-diamond-19-16	7	3.4
xen15-chalmers-triadic-diamond-13-11	7	4.9
xen15-chalmers-triadic-diamond-34-27	7	8.7
xen15-chalmers-triadic-diamond-14-11	7	9.7
xen15-chalmers-triadic-diamond-64-51	7	14.7
xen15-chalmers-triadic-diamond-23-18	7	16.5
xen15-chalmers-triadic-diamond-32-25	7	19.6
fivecrys1	7	21.5
xen15-chalmers-triadic-diamond-5-4	7	21.5
xen18-ayers-table-41-42	7	21.5

Parent scales

File	Notes	Max diff (¢)
xen03-wilson-positive-12	12	0.0
xen18-erlich-helmholtz-12	12	0.9
xen18-erlich-garibaldi-12	12	1.3
schisdia5	12	2.0
mistyschism2	12	2.0
mistyschism3	12	2.0
mistyschism4	12	2.0
raintree	12	2.0
akj19_12	12	3.4
xen18-erlich-august-09	9	9.3

Raw file

! xen15-chalmers-triadic-diamond-81-64.scl
!
Triadic diamond for M=81/64, D=3/2
 7
!
 32/27
 81/64
 4/3
 3/2
 128/81
 27/16
 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