User:Contribution/Exploring Selected Modes in 22-EDO

Mapping

sharpness = 3 L = 4 ; s = 1

Degree	Notation	Approximate Ratios	Approximate Ratios	Notation	Degree
0	P1	1/1	2/1	P8	22
1	m2	32/31	31/16	M7	21
2	↑m2	16/15	15/8	↓M7	20
3	↓M2	11/10	20/11	↑m7	19
4	M2	9/8, 8/7	7/4, 16/9	m7	18
5	m3	7/6	12/7	M6	17
6	↑m3	6/5	5/3	↓M6	16
7	↓M3	5/4	8/5	↑m6	15
8	M3	9/7	14/9	m6	14
9	P4	4/3	3/2	P5	13
10	↑P4	11/8	16/11	↓P5	12
11	↓A4	7/5, 10/7		↑d5	11

MOS Modes

1edo subset

Period: 22\22, Generator: 22\22

Name	Intervals
1L 0s (22:0)	22

2edo subset

Period: 11\22, Generator: 11\22

Name	Intervals
2L 0s (11:0)	11 11

11edo subset

Period: 2\22, Generator: 2\22

Name	Intervals
11L 0s (2:0)	2 2 2 2 2 2 2 2 2 2 2

Period: 22\22, Generator: 2\22

Name	Intervals
1L 9s (4:2)	2 2 2 2 4 2 2 2 2 2
1L 8s (6:2)	2 2 2 2 6 2 2 2 2
1L 7s (8:2)	2 2 2 8 2 2 2 2
1L 6s (10:2)	2 2 2 10 2 2 2
1L 5s (12:2)	2 2 12 2 2 2
1L 4s (14:2)	2 2 14 2 2
1L 3s (16:2)	2 16 2 2
1L 2s (18:2)	2 18 2
1L 1s (20:2)	20 2

Period: 22\22, Generator: 4\22

Name	Intervals
5L 1s (4:2)	4 4 4 2 4 4
1L 4s (6:4)	4 4 6 4 4
1L 3s (10:4)	4 10 4 4
1L 2s (14:4)	4 14 4
1L 1s (18:4)	18 4

Period: 22\22, Generator: 6\22

Name	Intervals
4L 3s (4:2)	4 2 4 2 4 2 4
3L 1s (6:4)	6 6 4 6
1L 2s (10:6)	6 10 6
1L 1s (16:6)	16 6

Period: 22\22, Generator: 8\22

Name	Intervals
3L 5s (4:2)	2 4 2 4 2 2 4 2
3L 2s (6:2)	6 2 6 2 6
2L 1s (8:6)	8 6 8
1L 1s (14:8)	14 8

Period: 22\22, Generator: 10\22

Name	Intervals
2L 7s (4:2)	2 2 4 2 2 2 4 2 2
2L 5s (6:2)	2 6 2 2 2 6 2
2L 3s (8:2)	2 8 2 8 2
2L 1s (10:2)	10 2 10
1L 1s (12:10)	12 10

22edo subset

Period: 1\22, Generator: 1\22

Name	Intervals
22L 0s (1:0)	1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

Period: 11\22, Generator: 1\22

Name	Intervals
2L 18s (2:1)	1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1
2L 16s (3:1)	1 1 1 1 3 1 1 1 1 1 1 1 1 3 1 1 1 1
2L 14s (4:1)	1 1 1 4 1 1 1 1 1 1 1 4 1 1 1 1
2L 12s (5:1)	1 1 1 5 1 1 1 1 1 1 5 1 1 1
2L 10s (6:1)	1 1 6 1 1 1 1 1 6 1 1 1
2L 8s (7:1)	1 1 7 1 1 1 1 7 1 1
2L 6s (8:1)	1 8 1 1 1 8 1 1
2L 4s (9:1)	1 9 1 1 9 1
2L 2s (10:1)	10 1 10 1

Period: 11\22, Generator: 2\22

Name	Intervals	Alteration
10L 2s (2:1)	2 2 2 1 2 2 2 2 2 1 2 2	2 2 2 1 2 2 2 2 1 2 2 2
2L 8s (3:2)	2 2 3 2 2 2 2 3 2 2	2 2 3 2 2 2 3 2 2 2
2L 6s (5:2)	2 5 2 2 2 5 2 2	2 2 5 2 2 5 2 2
2L 4s (7:2)	2 7 2 2 7 2	2 7 2 7 2 2
2L 2s (9:2)	9 2 9 2	9 2 2 9

Period: 11\22, Generator: 3\22

Name	Intervals
8L 6s (2:1)	2 1 2 1 2 1 2 2 1 2 1 2 1 2
6L 2s (3:2)	3 3 2 3 3 3 2 3
2L 4s (5:3)	3 5 3 3 5 3
2L 2s (8:3)	8 3 8 3

Period: 11\22, Generator: 4\22

Name	Intervals
6L 10s (2:1)	1 2 1 2 1 1 2 1 1 2 1 2 1 1 2 1
6L 4s (3:1)	3 1 3 1 3 3 1 3 1 3
4L 2s (4:3)	4 3 4 4 3 4
2L 2s (7:4)	7 4 7 4

Period: 11\22, Generator: 5\22

Name	Intervals
4L 14s (2:1)	1 1 2 1 1 1 2 1 1 1 1 2 1 1 1 2 1 1
4L 10s (3:1)	1 3 1 1 1 3 1 1 3 1 1 1 3 1
4L 6s (4:1)	1 4 1 4 1 1 4 1 4 1
4L 2s (5:1)	5 1 5 5 1 5
2L 2s (6:5)	6 5 6 5

Period: 22\22, Generator: 1\22

Name	Intervals
1L 20s (2:1)	1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1
1L 19s (3:1)	1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1
1L 18s (4:1)	1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1
1L 17s (5:1)	1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1
1L 16s (6:1)	1 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1
1L 15s (7:1)	1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1
1L 14s (8:1)	1 1 1 1 1 1 1 8 1 1 1 1 1 1 1
1L 13s (9:1)	1 1 1 1 1 1 9 1 1 1 1 1 1 1
1L 12s (10:1)	1 1 1 1 1 1 10 1 1 1 1 1 1
1L 11s (11:1)	1 1 1 1 1 11 1 1 1 1 1 1
1L 10s (12:1)	1 1 1 1 1 12 1 1 1 1 1
1L 9s (13:1)	1 1 1 1 13 1 1 1 1 1
1L 8s (14:1)	1 1 1 1 14 1 1 1 1
1L 7s (15:1)	1 1 1 15 1 1 1 1
1L 6s (16:1)	1 1 1 16 1 1 1
1L 5s (17:1)	1 1 17 1 1 1
1L 4s (18:1)	1 1 18 1 1
1L 3s (19:1)	1 19 1 1
1L 2s (20:1)	1 20 1
1L 1s (21:1)	21 1

Period: 22\22, Generator: 3\22

Name	Intervals	Alteration	Alteration	Alteration
7L 8s (2:1)	1 2 1 2 1 2 1 2 1 2 1 2 1 2 1
7L 1s (3:1)	3 3 3 3 1 3 3 3
1L 6s (4:3)	3 3 3 4 3 3 3	3 4 3 3 3 4 2	3 3 4 2 4 3 3	2 4 3 3 3 4 3
1L 5s (7:3)	3 3 7 3 3 3
1L 4s (10:3)	3 3 10 3 3
1L 3s (13:3)	3 13 3 3
1L 2s (16:3)	3 16 3
1L 1s (19:3)	19 3

Period: 22\22, Generator: 5\22

Name	Intervals
9L 4s (2:1)	2 1 2 2 1 2 2 2 1 2 2 1 2
4L 5s (3:2)	2 3 2 3 2 3 2 3 2
4L 1s (5:2)	5 5 2 5 5
1L 3s (7:5)	5 7 5 5
1L 2s (12:5)	5 12 5
1L 1s (17:5)	17 5

Period: 22\22, Generator: 7\22

Name	Intervals
3L 16s (2:1)	1 1 1 2 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1
3L 13s (3:1)	1 1 3 1 1 1 1 3 1 1 1 1 1 3 1 1
3L 10s (4:1)	1 1 4 1 1 1 4 1 1 1 4 1 1
3L 7s (5:1)	1 5 1 1 5 1 1 1 5 1
3L 4s (6:1)	1 6 1 6 1 6 1
3L 1s (7:1)	7 7 1 7
1L 2s (8:7)	7 8 7
1L 1s (15:7)	15 7

Period: 22\22, Generator: 9\22

Name	Intervals
5L 12s (2:1)	1 2 1 1 1 2 1 1 2 1 1 2 1 1 1 2 1
5L 7s (3:1)	1 3 1 3 1 3 1 1 3 1 3 1
5L 2s (4:1)	4 1 4 4 4 1 4
2L 3s (5:4)	4 5 4 5 4
2L 1s (9:4)	9 4 9
1L 1s (13:9)	13 9