xen10-chalmers-tritriadic-5-1-27

Tritriadic scale built from 5:1:27

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	7
Period	1200.0 ¢
Just	5-limit
Construction	`tritriadic(Fraction(8, 5), Fraction(27, 20))`
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 (¢)
27/25	133	27/25	133
32/27	294	800/729	161
27/20	520	729/640	225
40/27	680	800/729	161
8/5	814	27/25	133
729/400	1039	729/640	225
2	1200	800/729	161

Similar scales

File	Notes	Rotation	Max diff (¢)
xen12-chalmers-tritriadic-dm-1-5-27	7	2	0.0
xen12-chalmers-tritriadic-mt-27-5-1	7	4	0.0
xen12-chalmers-tritriadic-dm-17-23-25	7	3	16.5
xen10-chalmers-tritriadic-23-17-25	7	0	16.5
xen12-chalmers-tritriadic-dm-27-23-17	7	2	16.5
CD17_15_Tunisia	7	4	18.8
mavsynch7	7	3	19.4
Turkey_A-I	7	2	20.2
CD15_11_Morocco	7	5	20.9
CD17_16_husayni_Tunisia	7	1	21.2

Parent scales

File	Notes	Max diff (¢)
xen18-erlich-amity-32	32	2.7
EClesfip	12	18.4
xen18-erlich-amity-39	39	2.7
edo-37	37	3.5
edo-16	16	16.8
xen15-gilson-generalized-pythagorean-11-8-37	37	4.2
DimensionECF_tuning_96545_96545	12	21.5
tertiadie4	12	21.5
aaron	12	21.5
cw12_11	12	21.5

Child scales

File	Notes	Max diff (¢)
xen03-wilson-negative-05	5	21.5

Raw file

! xen10-chalmers-tritriadic-5-1-27.scl
!
Tritriadic scale built from 5:1:27
 7
!
 27/25
 32/27
 27/20
 40/27
 8/5
 729/400
 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