xen03-wilson-positive-41

Positive, linear-mapped intonational system, 41 notes

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	41
Period	1200.0 ¢
Just	11-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 (¢)
64/63	27	64/63	27
28/27	63	49/48	36
256/243	90	64/63	27
16/15	112	81/80	22
12/11	151	45/44	39
10/9	182	55/54	32
9/8	204	81/80	22
8/7	231	64/63	27
7/6	267	49/48	36
32/27	294	64/63	27
6/5	316	81/80	22
27/22	355	45/44	39
5/4	386	55/54	32
81/64	408	81/80	22
9/7	435	64/63	27
21/16	471	49/48	36
4/3	498	64/63	27
256/189	525	64/63	27
112/81	561	49/48	36
1024/729	588	64/63	27
64/45	610	81/80	22
16/11	649	45/44	39
40/27	680	55/54	32
3/2	702	81/80	22
32/21	729	64/63	27
14/9	765	49/48	36
128/81	792	64/63	27
8/5	814	81/80	22
18/11	853	45/44	39
5/3	884	55/54	32
27/16	906	81/80	22
12/7	933	64/63	27
7/4	969	49/48	36
16/9	996	64/63	27
9/5	1018	81/80	22
81/44	1057	45/44	39
15/8	1088	55/54	32
243/128	1110	81/80	22
27/14	1137	64/63	27
63/32	1173	49/48	36
2/1	1200	64/63	27

Similar scales

File	Notes	Rotation	Max diff (¢)
xen18-erlich-garibaldi-41	41	31	5.0
41cosine	41	24	5.2
xen15-gilson-generalized-pythagorean-3-2-41	41	19	6.4
xen18-erlich-magic-41	41	2	7.0
edo-41	41	0	7.3
rodan41	41	0	9.0
jove41	41	25	9.4
schis41	41	0	10.3
tenn41b	41	7	10.3
tenn41c	41	31	10.3

Parent scales

File	Notes	Max diff (¢)
53of94	53	3.9
xen18-erlich-garibaldi-53	53	5.0
Sp53in13lim	53	5.8
Wier53	53	5.8
septenarian53well	53	6.5
Sp_11_lim_53	53	6.5
xen03-secor-partch	43	9.7
Sp53via19lim	53	7.7
Sp53Ragismatic	53	7.7
amity53pure	53	7.8

Child scales

File	Notes	Max diff (¢)
xen03-wilson-positive-29	29	0.0
xen07-walker-fathomless	21	0.0
xen03-wilson-baglama	17	0.0
xen03-wilson-positive-17	17	0.0
Descartes_Hexa	12	0.0
jobbit12_5	12	0.0
lazy	12	0.0
parapyth12-7	12	0.0
xen03-wilson-negative-12	12	0.0
xen03-wilson-positive-12	12	0.0

Raw file

! xen03-wilson-positive-41.scl
!
Positive, linear-mapped intonational system, 41 notes
 41
!
 64/63
 28/27
 256/243
 16/15
 12/11
 10/9
 9/8
 8/7
 7/6
 32/27
 6/5
 27/22
 5/4
 81/64
 9/7
 21/16
 4/3
 256/189
 112/81
 1024/729
 64/45
 16/11
 40/27
 3/2
 32/21
 14/9
 128/81
 8/5
 18/11
 5/3
 27/16
 12/7
 7/4
 16/9
 9/5
 81/44
 15/8
 243/128
 27/14
 63/32
 2/1
!
! Erv Wilson
! On the development of intonational systems by extended linear mapping
! Xenharmonikon 3 (1975)
!
! Diagrams 5 and 8
!
! [info]
! source = Xenharmonikon
! whole_number = 3