xen10-chalmers-tritriadic-19-21-23

Tritriadic scale built from 19:21:23

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	7
Period	1200.0 ¢
Just	23-limit
Construction	`tritriadic(Fraction(21, 19), Fraction(23, 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
23/19	331	23/21	157
483/361	504	21/19	173
529/361	662	23/21	157
38/23	869	13718/12167	208
42/23	1043	21/19	173
2	1200	23/21	157

Similar scales

File	Notes	Rotation	Max diff (¢)
xen12-chalmers-tritriadic-dm-21-23-19	7	6	0.0
xen15-chalmers-triadic-reversed-diamond-23-19	7	6	6.0
xen09-chalmers-tritriadic-10-15-11	7	5	7.5
xen12-chalmers-tritriadic-dm-15-11-5	7	1	7.5
xen09-chalmers-tritriadic-11-15-20	7	4	7.5
xen15-chalmers-triadic-reversed-diamond-40-33	7	6	10.5
Gambia_Malinke_02	7	5	15.5
xen10-chalmers-tritriadic-19-7-21	7	1	15.8
xen12-chalmers-tritriadic-dm-7-19-21	7	4	15.8
porcupine	7	3	15.8

Parent scales

File	Notes	Max diff (¢)
xen18-erlich-porcupine-08	8	17.1
xen18-erlich-amity-18	18	8.9
xen18-erlich-tetracot-13	13	14.2
xen18-erlich-amity-11	11	17.4
porcupine15	15	13.1
xen12-wilson-25-6C4-pentadekany	15	15.1
mavila9	9	23.5
xen18-erlich-mavila-09	9	23.5
ragisyn2	12	18.9
porcupine15fip	15	16.4

Child scales

File	Notes	Max diff (¢)
xen18-erlich-porcupine-05	5	10.9
xen18-erlich-porcupine-06	6	17.1
Ethiopia_AI_544_14_1939	5	20.5
xen18-erlich-tetracot-06	6	22.4
xen18-erlich-tetracot-05	5	22.4
xen18-erlich-mavila-05	5	23.5

Raw file

! xen10-chalmers-tritriadic-19-21-23.scl
!
Tritriadic scale built from 19:21:23
 7
!
 21/19
 23/19
 483/361
 529/361
 38/23
 42/23
 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