xen09-chalmers-tritriadic-13-14-16

Tritriadic scale built from 13:14:16

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Properties

Notes	7
Period	1200.0 ¢
Just	13-limit
Construction	`tritriadic(Fraction(14, 13), Fraction(16, 13))`
Source	Xenharmonikon 9
Reference	John H. Chalmers, Jr., Tritriadic Scales with Seven Tones, Xenharmonikon 9 (1986)
Author	John H. Chalmers, Jr.
Read online	www.xenharmonikon.org
Article	85 scales

Tone	Tone (¢)	Step	Step (¢)
14/13	128	14/13	128
16/13	359	8/7	231
224/169	488	14/13	128
256/169	719	8/7	231
13/8	841	2197/2048	122
7/4	969	14/13	128
2	1200	8/7	231

Similar scales

File	Notes	Rotation	Max diff (¢)
xen09-chalmers-tritriadic-8-14-13	7	5	0.0
xen12-chalmers-tritriadic-dm-7-13-1	7	6	0.0
xen15-gilson-generalized-pythagorean-13-8-7	7	3	6.7
xen18-erlich-beatles-07	7	2	9.5
xen09-chalmers-tritriadic-22-25-27	7	6	9.9
xen12-chalmers-tritriadic-dm-25-27-11	7	5	9.9
xen09-chalmers-tritriadic-27-25-22	7	4	9.9
xen09-wilson-marwa-16a-02	7	1	17.0
xen10-wilson-purvi-07c-02	7	0	17.0
xen15-chalmers-triadic-reversed-diamond-16-13	7	2	17.0

Parent scales

File	Notes	Max diff (¢)
xen15-gilson-generalized-pythagorean-13-8-10	10	6.7
edo-10	10	8.8
xen18-erlich-beatles-10	10	9.5
xen18-erlich-negrisept-09	9	15.3
xen18-erlich-negrisept-10	10	15.3
beatles17	17	7.6
vines_ovovo10eb5w6w7_0_D	10	16.3
2.3.5-7.11-9.diamond	10	17.0
xen07-morrison-decimal	10	17.0
xen18-erlich-beatles-17	17	9.5

Child scales

File	Notes	Max diff (¢)
pelog_mal	5	17.0
Ethiopia_Ambasel	5	22.8

Raw file

! xen09-chalmers-tritriadic-13-14-16.scl
!
Tritriadic scale built from 13:14:16
 7
!
 14/13
 16/13
 224/169
 256/169
 13/8
 7/4
 2
!
! John H. Chalmers, Jr.
! Tritriadic Scales with Seven Tones
! Xenharmonikon 9 (1986)
!
! [info]
! source = Xenharmonikon
! whole_number = 9