xen12-chalmers-tritriadic-dm-7-13-1

Tritriadic D->M scale built from 7:13:1

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Properties

Notes	7
Period	1200.0 ¢
Just	13-limit
Construction	`tritriadic_dm(Fraction(13, 7), Fraction(8, 7))`
Source	Xenharmonikon 12
Reference	John H. Chalmers, Jr., Tritriadic Scales with Seven Tones, Part Three, Xenharmonikon 12 (1989)
Author	John H. Chalmers, Jr.
Read online	www.xenharmonikon.org
Article	79 scales

Tone	Tone (¢)	Step	Step (¢)
8/7	231	8/7	231
16/13	359	14/13	128
128/91	591	8/7	231
169/112	712	2197/2048	122
13/8	841	14/13	128
13/7	1072	8/7	231
2	1200	14/13	128

Similar scales

File	Notes	Rotation	Max diff (¢)
xen09-chalmers-tritriadic-8-14-13	7	6	0.0
xen09-chalmers-tritriadic-13-14-16	7	1	0.0
xen15-gilson-generalized-pythagorean-13-8-7	7	4	6.7
xen18-erlich-beatles-07	7	3	14.1
xen09-chalmers-tritriadic-27-25-22	7	5	14.8
xen09-chalmers-tritriadic-22-25-27	7	0	14.8
xen12-chalmers-tritriadic-dm-25-27-11	7	6	14.8
CD06_07_Egypt	7	4	20.2
CD06_10_Egypt	7	4	21.2
eb24-moha-bayyati-septimal_Eb	7	1	22.0

Parent scales

File	Notes	Max diff (¢)
9tonegoldsilvercombined	9	9.3
edo-10	10	9.4
xen07-morrison-decimal	10	10.3
xen15-gilson-generalized-pythagorean-13-8-10	10	12.0
qujus18	12	10.3
xen18-erlich-beatles-10	10	14.1
Miracle-12	12	12.2
beatles17	17	10.5
s-n-buzurg	12	17.0
edo-20	20	9.4

Child scales

File	Notes	Max diff (¢)
Georgia_GVM204-H	5	17.2
Ethiopia_Mus_04_Yammatbal	5	24.5
CD11_20_Iraq	5	24.5

Raw file

! xen12-chalmers-tritriadic-dm-7-13-1.scl
!
Tritriadic D->M scale built from 7:13:1
 7
!
 8/7
 16/13
 128/91
 169/112
 13/8
 13/7
 2
!
! John H. Chalmers, Jr.
! Tritriadic Scales with Seven Tones, Part Three
! Xenharmonikon 12 (1989)
!
! [info]
! source = Xenharmonikon
! whole_number = 12