xen12-chalmers-tritriadic-dm-13-9-5

Tritriadic D->M scale built from 13:9:5

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Properties

Notes	7
Period	1200.0 ¢
Just	13-limit
Construction	`tritriadic_dm(Fraction(18, 13), Fraction(20, 13))`
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 (¢)
10/9	182	10/9	182
81/65	381	729/650	199
18/13	563	10/9	182
20/13	746	10/9	182
200/117	928	10/9	182
9/5	1018	1053/1000	89
2	1200	10/9	182

Similar scales

File	Notes	Rotation	Max diff (¢)
xen09-chalmers-tritriadic-9-13-10	7	4	0.0
xen09-chalmers-tritriadic-10-13-18	7	3	0.0
xen09-chalmers-tritriadic-5-7-9	7	6	19.1
xen09-chalmers-tritriadic-9-7-10	7	0	19.1
xen12-chalmers-tritriadic-dm-7-9-5	7	3	19.1
prop19_7e	7	3	19.2
xen10-chalmers-tritriadic-17-13-19	7	0	20.4
xen12-chalmers-tritriadic-dm-13-17-19	7	3	20.4
xen09-chalmers-tritriadic-17-19-21	7	6	24.3
xen12-chalmers-tritriadic-dm-19-21-17	7	5	24.3

Parent scales

File	Notes	Max diff (¢)
cupid	10	11.7
GoldenRatio	13	11.5
edo-13	13	11.7
mean2-5_19	19	7.6
xen18-erlich-sensisept-19	19	12.3
xen18-erlich-sensipent-19	19	12.6
xen18-erlich-hanson-34	34	4.1
xen18-erlich-keemun-34	34	5.0
kleismic34trans	34	5.3
octacot27	27	9.8

Child scales

File	Notes	Max diff (¢)
Ethiopia_Mus_05_1976	5	18.4
xen12-wilson-39-4C2-hexany-08	6	21.5

Raw file

! xen12-chalmers-tritriadic-dm-13-9-5.scl
!
Tritriadic D->M scale built from 13:9:5
 7
!
 10/9
 81/65
 18/13
 20/13
 200/117
 9/5
 2
!
! John H. Chalmers, Jr.
! Tritriadic Scales with Seven Tones, Part Three
! Xenharmonikon 12 (1989)
!
! [info]
! source = Xenharmonikon
! whole_number = 12