xen10-chalmers-tritriadic-7-23-19

Tritriadic scale built from 7:23:19

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	7
Period	1200.0 ¢
Just	23-limit
Construction	`tritriadic(Fraction(23, 14), Fraction(19, 14))`
Source	Xenharmonikon 10
Reference	John H. Chalmers, Jr., Tritriadic Scales with Seven Tones, Part Two: Derived Forms and Structural Properties, Xenharmonikon 10 (1987)
Author	John H. Chalmers, Jr.
Read online	www.xenharmonikon.org
Article	22 scales

Tone	Tone (¢)	Step	Step (¢)
437/392	188	437/392	188
23/19	331	392/361	143
19/14	529	361/322	198
28/19	671	392/361	143
23/14	859	437/392	188
361/196	1057	361/322	198
2	1200	392/361	143

Similar scales

File	Notes	Rotation	Max diff (¢)
xen12-chalmers-tritriadic-dm-23-19-7	7	2	0.0
xen10-chalmers-tritriadic-17-7-23	7	0	10.7
xen12-chalmers-tritriadic-dm-7-17-23	7	2	10.7
xen18-erlich-amity-07	7	2	15.6
xen09-chalmers-tritriadic-11-18-15	7	0	16.5
xen09-chalmers-tritriadic-15-18-22	7	4	16.5
xen12-chalmers-tritriadic-dm-9-11-15	7	2	16.5
xen10-chalmers-tritriadic-7-25-23	7	4	17.9
xen12-chalmers-tritriadic-dm-25-23-7	7	5	17.9
Thailand_03	7	6	18.7

Parent scales

File	Notes	Max diff (¢)
xen18-erlich-tetracot-13	13	12.6
xen18-erlich-amity-11	11	15.6
edo-25	25	5.2
18rat	18	11.8
edo-18	18	11.9
ragisyn2	12	18.5
ragisyn4	12	18.5
ragisyn7	12	18.5
xen18-erlich-mavila-16	16	14.3
xen18-erlich-amity-25	25	8.7

Child scales

File	Notes	Max diff (¢)
Ethiopia_Mus_02_Yammatbal	5	13.2
Ethiopia_AI_544_14_1939	5	21.7
Georgia_GVM204-H	5	23.7
Vietnam_Ho_Mai_Nhi	5	23.7
Ethiopia_Mus_01_Yammatbal	5	23.7
xen18-erlich-mavila-05	5	24.6

Raw file

! xen10-chalmers-tritriadic-7-23-19.scl
!
Tritriadic scale built from 7:23:19
 7
!
 437/392
 23/19
 19/14
 28/19
 23/14
 361/196
 2
!
! John H. Chalmers, Jr.
! Tritriadic Scales with Seven Tones, Part Two: Derived Forms and Structural Properties
! Xenharmonikon 10 (1987)
!
! [info]
! source = Xenharmonikon
! whole_number = 10