xen15-chalmers-triadic-diamond-15-13

Triadic diamond for M=15/13, D=3/2

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	7
Period	1200.0 ¢
Just	13-limit
Construction	`triadic_diamond(Fraction(15, 13), 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 (¢)
15/13	248	15/13	248
13/10	454	169/150	206
4/3	498	40/39	44
3/2	702	9/8	204
20/13	746	40/39	44
26/15	952	169/150	206
2/1	1200	15/13	248

Similar scales

File	Notes	Rotation	Max diff (¢)
xen15-chalmers-triadic-diamond-35-27	7	0	4.9
xen15-chalmers-triadic-diamond-23-20	7	0	5.8
xen15-chalmers-triadic-diamond-22-17	7	0	7.9
xen15-chalmers-triadic-diamond-17-13	7	0	10.2
xen09-chalmers-tritriadic-1-3-7	7	1	16.6
xen15-chalmers-triadic-diamond-8-7	7	0	16.6
xen09-chalmers-tritriadic-6-7-8	7	1	19.1
xen15-chalmers-triadic-diamond-7-6	7	0	19.1

Parent scales

File	Notes	Max diff (¢)
parizekmic9	9	1.1
parizekmic14	14	1.1
xen18-erlich-semaphore-09	9	11.7
xen18-erlich-hanson-19	19	1.5
madagascar19	19	1.8
precata19	19	2.6
xen18-erlich-keemun-19	19	3.2
xen18-erlich-negrisept-19	19	3.3
jiri24a	24	0.0
kleis	19	5.3

Child scales

File	Notes	Max diff (¢)
parizekmic5	5	1.1
neutr_pent2	5	2.6
xen18-erlich-semaphore-05	5	6.9
Indonesia_Udanriris	5	11.7
Indonesia_RRI_Sala	5	15.8
slendro_pc	5	16.3
pygmie	5	16.6
Indonesia_Prarasrum	5	16.7
DR_Congo_Vocal_02	5	16.8
xen18-erlich-cynder-06	6	16.9

Raw file

! xen15-chalmers-triadic-diamond-15-13.scl
!
Triadic diamond for M=15/13, D=3/2
 7
!
 15/13
 13/10
 4/3
 3/2
 20/13
 26/15
 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