xen09-chalmers-tritriadic-8-14-13

Tritriadic scale built from 8:14:13

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	7
Period	1200.0 ¢
Just	13-limit
Construction	`tritriadic(Fraction(7, 4), Fraction(13, 8))`
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
169/128	481	2197/2048	122
91/64	609	14/13	128
13/8	841	8/7	231
7/4	969	14/13	128
2	1200	8/7	231

Similar scales

File	Notes	Rotation	Max diff (¢)
xen09-chalmers-tritriadic-13-14-16	7	2	0.0
xen12-chalmers-tritriadic-dm-7-13-1	7	1	0.0
xen15-gilson-generalized-pythagorean-13-8-7	7	5	6.7
xen18-erlich-beatles-07	7	4	11.2
xen09-chalmers-tritriadic-22-25-27	7	1	14.8
xen12-chalmers-tritriadic-dm-25-27-11	7	0	14.8
xen09-chalmers-tritriadic-27-25-22	7	6	14.8
xen18-secor-neutral-third-mos-2-tempered	7	1	19.8
CD01_05_Egypt	7	3	21.7
eb24-moha-bayyati-septimal_Eb	7	2	22.0

Parent scales

File	Notes	Max diff (¢)
xen15-gilson-generalized-pythagorean-13-8-10	10	6.7
edo-10	10	9.4
xen18-erlich-miracle-10	10	14.2
CD02_09_Egypt	8	18.3
xen18-erlich-miracle-11	11	14.2
vines_ovovo10eb5w6w7_0_D	10	16.3
2.3.5-7.11-9.diamond	10	17.0
beatles17	17	8.7
Keenan4	10	17.8
xen18-erlich-negrisept-10	10	18.3

Child scales

File	Notes	Max diff (¢)
Ethiopia_Anchihoye	5	13.9

Raw file

! xen09-chalmers-tritriadic-8-14-13.scl
!
Tritriadic scale built from 8:14:13
 7
!
 14/13
 16/13
 169/128
 91/64
 13/8
 7/4
 2
!
! John H. Chalmers, Jr.
! Tritriadic Scales with Seven Tones
! Xenharmonikon 9 (1986)
!
! [info]
! source = Xenharmonikon
! whole_number = 9