xen10-chalmers-tritriadic-19-7-21

Tritriadic scale built from 19:7:21

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	7
Period	1200.0 ¢
Just	19-limit
Construction	`tritriadic(Fraction(28, 19), Fraction(21, 19))`
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 (¢)
21/19	173	21/19	173
441/361	347	21/19	173
4/3	498	1444/1323	152
28/19	671	21/19	173
588/361	845	21/19	173
38/21	1027	6859/6174	182
2	1200	21/19	173

Similar scales

File	Notes	Rotation	Max diff (¢)
xen12-chalmers-tritriadic-dm-7-19-21	7	3	0.0
xen18-erlich-tetracot-07	7	1	5.7
Mozambique_Chopi_07	7	5	6.0
Cambodia_01	7	0	10.0
xen15-chalmers-triadic-reversed-diamond-17-14	7	5	11.4
Thailand_Thai_01	7	1	11.7
Thailand_03	7	5	13.3
xen15-chalmers-triadic-reversed-diamond-40-33	7	5	13.5
xen09-wilson-marwa-18a-08	7	1	13.5
xen09-chalmers-tritriadic-9-10-11	7	1	14.4

Parent scales

File	Notes	Max diff (¢)
xen18-erlich-tetracot-13	13	5.7
xen18-erlich-tetracot-20	20	5.7
xen18-erlich-amity-11	11	15.8
xen18-erlich-amity-18	18	8.3
xen12-wilson-25-6C4-pentadekany	15	13.5
xen18-erlich-tetracot-27	27	5.7
ragisyn7	12	18.3
ragisyn2	12	18.5
edo-14	14	16.2
xen18-erlich-mavila-09	9	23.5

Child scales

File	Notes	Max diff (¢)
xen18-erlich-tetracot-06	6	5.7
xen18-erlich-tetracot-05	5	5.7
Ethiopia_AI_544_14_1939	5	16.3
xen18-erlich-mavila-05	5	23.5
Vietnam_Ho_Mai_Nhi	5	23.7
xen18-erlich-flattone-05	5	24.1
Ethiopia_Mus_01_Yammatbal	5	24.5

Raw file

! xen10-chalmers-tritriadic-19-7-21.scl
!
Tritriadic scale built from 19:7:21
 7
!
 21/19
 441/361
 4/3
 28/19
 588/361
 38/21
 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