xen09-chalmers-tritriadic-17-19-21

Tritriadic scale built from 17:19:21

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Properties

Notes	7
Period	1200.0 ¢
Just	19-limit
Construction	`tritriadic(Fraction(19, 17), Fraction(21, 17))`
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 (¢)
19/17	193	19/17	193
21/17	366	21/19	173
399/289	558	19/17	193
441/289	732	21/19	173
34/21	834	9826/9261	103
38/21	1027	19/17	193
2	1200	21/19	173

Similar scales

File	Notes	Rotation	Max diff (¢)
xen12-chalmers-tritriadic-dm-19-21-17	7	6	0.0
xen09-chalmers-tritriadic-21-19-17	7	5	0.0
xen12-chalmers-tritriadic-dm-13-9-5	7	1	15.2
xen09-chalmers-tritriadic-9-13-10	7	5	15.2
xen09-chalmers-tritriadic-10-13-18	7	4	15.2
xen12-chalmers-tritriadic-dm-13-17-19	7	4	19.3
xen10-chalmers-tritriadic-17-13-19	7	1	19.3

Parent scales

File	Notes	Max diff (¢)
edo-13	13	11.3
xen18-erlich-mavila-16	16	15.6
mean2-5_19	19	15.2
xen18-erlich-lemba-26	26	10.7
edo-26	26	11.3
xen18-erlich-injera-26	26	12.2
xen18-schulter-707-56	56	1.7
edo-36	36	8.3
lemba26	26	13.4
xen18-erlich-amity-25	25	14.1

Child scales

File	Notes	Max diff (¢)
xen18-erlich-tetracot-05	5	16.4
Ethiopia_AI_512_20_1939	5	16.7
xen18-erlich-luna-05	5	20.6
Ethiopia_Mus_05_1976	5	21.2
CD14_08_Algeria	6	24.3

Raw file

! xen09-chalmers-tritriadic-17-19-21.scl
!
Tritriadic scale built from 17:19:21
 7
!
 19/17
 21/17
 399/289
 441/289
 34/21
 38/21
 2
!
! John H. Chalmers, Jr.
! Tritriadic Scales with Seven Tones
! Xenharmonikon 9 (1986)
!
! [info]
! source = Xenharmonikon
! whole_number = 9