xen03-wilson-positive-12

Positive, linear-mapped intonational system, 12 notes

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	12
Period	1200.0 ¢
Just	3-limit
Source	Xenharmonikon 3
Reference	Erv Wilson, On the development of intonational systems by extended linear mapping, Xenharmonikon 3 (1975)
Author	Erv Wilson
Read online	www.anaphoria.com
Article	18 scales

Tone	Tone (¢)	Step	Step (¢)
256/243	90	256/243	90
9/8	204	2187/2048	114
32/27	294	256/243	90
81/64	408	2187/2048	114
4/3	498	256/243	90
1024/729	588	256/243	90
3/2	702	2187/2048	114
128/81	792	256/243	90
27/16	906	2187/2048	114
16/9	996	256/243	90
243/128	1110	2187/2048	114
2/1	1200	256/243	90

Similar scales

File	Notes	Rotation	Max diff (¢)
xen15-gilson-pythagorean-chromatic	12	11	0.0
xen15-gilson-generalized-pythagorean-3-2-12	12	6	0.0
xen18-schulter-pythagorean	12	9	0.0
schismatic12	12	3	1.2
xen18-erlich-helmholtz-12	12	0	1.3
SpBruckner	12	3	1.3
xen18-erlich-garibaldi-12	12	0	1.9
tamil_vi	12	1	2.0
mistyschism2	12	7	2.0
raintree	12	7	2.0

Parent scales

File	Notes	Max diff (¢)
pyth_17	17	0.0
xen03-wilson-baglama	17	0.0
xen03-wilson-positive-17	17	0.0
xen18-erlich-helmholtz-17	17	1.3
schisynch17	17	1.4
xen18-erlich-garibaldi-17	17	1.9
xen18-erlich-dominant-17	17	4.8
indiang	22	1.0
indians	22	1.3
uruk	17	5.8

Child scales

File	Notes	Max diff (¢)
xen18-ayers-table-23	9	0.0
pseudo_Odo_octatonics	8	0.0
synmav1	7	0.0
xen03-wilson-positive-07	7	0.0
xen06-london-ditone-diatonic	7	0.0
xen09-chalmers-tritriadic-54-64-81	7	0.0
xen09-chalmers-tritriadic-64-81-96	7	0.0
xen09-wilson-marwa-02-02	7	0.0
xen09-wilson-marwa-02-03	7	0.0
xen09-wilson-marwa-02-04	7	0.0

Raw file

! xen03-wilson-positive-12.scl
!
Positive, linear-mapped intonational system, 12 notes
 12
!
 256/243
 9/8
 32/27
 81/64
 4/3
 1024/729
 3/2
 128/81
 27/16
 16/9
 243/128
 2/1
!
! Erv Wilson
! On the development of intonational systems by extended linear mapping
! Xenharmonikon 3 (1975)
!
! Diagram 5
!
! [info]
! source = Xenharmonikon
! whole_number = 3