User:Contribution/17-EDO resources

Mapping

sharpness = 2 ; L = 3 ; s = 1

Degree	Name	Cents	Approximate Ratios	Approximate Ratios	Cents	Name	Degree
0	root	0.0	1/1	2/1	1200.0	octave	17
1	min2	70.6	25/24	48/25	1129.4	Maj7	16
2	neu2	141.2	14/13, 13/12, 12/11	11/6, 24/13, 13/7	1058.8	neu7	15
3	Maj2	211.8	9/8, 8/7	7/4, 16/9	988.2	min7	14
4	min3	282.4	20/17, 13/11	22/13, 17/10	917.6	Maj6	13
5	neu3	352.9	11/9, 16/13	13/8, 18/11	847.1	neu6	12
6	Maj3	423.5	14/11, 23/18	36/23, 11/7	776.5	min6	11
7	4	494.1	4/3	3/2	705.9	5	10
8	neu4, dim5	564.7	18/13	13/9	635.3	neu5, Aug4	9

Some chords

Triads

Maj2 5 0, 3, 10 4 min7 0, 7, 14 4 5 0, 7, 10	5 min7 0, 10, 14 min3 4 0, 4, 7 Maj2 Maj6 0, 3, 13	5 Maj6 0, 10, 13 Maj2 4 0, 3, 7 min3 min7 0, 4, 14	Maj3 5 0, 6, 10 min3 min6 0, 4, 11 4 Maj6 0, 7, 13	min3 5 0, 4, 10 Maj3 Maj6 0, 6, 13 4 min6 0, 7, 11
neu3 5 0, 5, 10 neu3 neu6 0, 5, 12 4 neu6 0, 7, 12	5 neu7 0, 10, 15 neu3 4 0, 5, 7 neu2 neu6 0, 2, 12	5 neu6 0, 10, 12 neu2 4 0, 2, 7 neu3 neu7 0, 5, 15	neu2 5 0, 2, 10 neu4 neu7 0, 8, 15 4 neu5 0, 7, 9	neu4 5 0, 8, 10 neu2 neu5 0, 2, 9 4 neu7 0, 7, 15
5 Maj7 0, 10, 16 Maj3 4 0, 6, 7 min2 min6 0, 1, 11	5 min6 0, 10, 11 min2 4 0, 1, 7 Maj3 Maj7 0, 6, 16	min2 5 0, 1, 10 Aug4 Maj7 0, 9, 16 4 dim5 0, 7, 8	Aug4 5 0, 9, 10 min2 dim5 0, 1, 8 4 Maj7 0, 7, 16
Maj2 min7 0, 3, 14 min6 min7 0, 11, 14 Maj2 Maj3 0, 3, 6	Maj2 min6 0, 3, 11 dim5 min7 0, 8, 14 Maj3 Aug4 0, 6, 9	Maj2 Aug4 0, 3, 9 Maj3 min7 0, 6, 14 dim5 min6 0, 8, 11	min3 Maj6 0, 4, 13 Aug4 Maj6 0, 9, 13 min3 dim5 0, 4, 8

Some MOS Regular Temperaments

MOS modes with 2-9 notes per octave (generator 1\17 excluded).

Period: 1\17, Generator: 1\17

uninteresting

Period: 17\17, Generator: 1\17

uninteresting

Period: 17\17, Generator: 2\17

15 2 neu7 0, 15 neu2 0, 2	13 2 2 Maj6 neu7 0, 13, 15 neu2 min3 0, 2, 4 neu2 neu7 0, 2, 15	11 2 2 2 min6 Maj6 neu7 0, 11, 13, 15 neu2 min3 Maj3 0, 2, 4, 6 neu2 min3 neu7 0, 2, 4, 15 neu2 Maj6 neu7 0, 2, 13, 15
9 2 2 2 2 neu5 min6 Maj6 neu7 0, 9, 11, 13, 15 neu2 min3 Maj3 neu4 0, 2, 4, 6, 8 neu2 min3 Maj3 neu7 0, 2, 4, 6, 15 neu2 min3 Maj6 neu7 0, 2, 4, 13, 15 neu2 min6 Maj6 neu7 0, 2, 11, 13, 15	7 2 2 2 2 2 4 neu5 min6 Maj6 neu7 0, 7, 9, 11, 13, 15 neu2 min3 Maj3 neu4 5 0, 2, 4, 6, 8, 10 neu2 min3 Maj3 neu4 neu7 0, 2, 4, 6, 8, 15 neu2 min3 Maj3 Maj6 neu7 0, 2, 4, 6, 13, 15 neu2 min3 min6 Maj6 neu7 0, 2, 4, 11, 13, 15 neu2 neu5 min6 Maj6 neu7 0, 2, 9, 11, 13, 15	5 2 2 2 2 2 2 neu3 4 neu5 min6 Maj6 neu7 0, 5, 7, 9, 11, 13, 15 neu2 min3 Maj3 neu4 5 neu6 0, 2, 4, 6, 8, 10, 12 neu2 min3 Maj3 neu4 5 neu7 0, 2, 4, 6, 8, 10, 15 neu2 min3 Maj3 neu4 Maj6 neu7 0, 2, 4, 6, 8, 13, 15 neu2 min3 Maj3 min6 Maj6 neu7 0, 2, 4, 6, 11, 13, 15 neu2 min3 neu5 min6 Maj6 neu7 0, 2, 4, 9, 11, 13, 15 neu2 4 neu5 min6 Maj6 neu7 0, 2, 7, 9, 11, 13, 15
3 2 2 2 2 2 2 2 Maj2 neu3 4 neu5 min6 Maj6 neu7 0, 3, 5, 7, 9, 11, 13, 15 neu2 min3 Maj3 neu4 5 neu6 min7 0, 2, 4, 6, 8, 10, 12, 14 neu2 min3 Maj3 neu4 5 neu6 neu7 0, 2, 4, 6, 8, 10, 12, 15 neu2 min3 Maj3 neu4 5 Maj6 neu7 0, 2, 4, 6, 8, 10, 13, 15 neu2 min3 Maj3 neu4 min6 Maj6 neu7 0, 2, 4, 6, 8, 11, 13, 15 neu2 min3 Maj3 neu5 min6 Maj6 neu7 0, 2, 4, 6, 9, 11, 13, 15 neu2 min3 4 neu5 min6 Maj6 neu7 0, 2, 4, 7, 9, 11, 13, 15 neu2 neu3 4 neu5 min6 Maj6 neu7 0, 2, 5, 7, 9, 11, 13, 15	2 2 2 2 2 2 2 2 1 neu2 min3 Maj3 neu4 5 neu6 min7 Maj7 0, 2, 4, 6, 8, 10, 12, 14, 16 neu2 min3 Maj3 neu4 5 neu6 min7 neu7 0, 2, 4, 6, 8, 10, 12, 14, 15 neu2 min3 Maj3 neu4 5 neu6 Maj6 neu7 0, 2, 4, 6, 8, 10, 12, 13, 15 neu2 min3 Maj3 neu4 5 min6 Maj6 neu7 0, 2, 4, 6, 8, 10, 11, 13, 15 neu2 min3 Maj3 neu4 neu5 min6 Maj6 neu7 0, 2, 4, 6, 8, 9, 11, 13, 15 neu2 min3 Maj3 4 neu5 min6 Maj6 neu7 0, 2, 4, 6, 7, 9, 11, 13, 15 neu2 min3 neu3 4 neu5 min6 Maj6 neu7 0, 2, 4, 5, 7, 9, 11, 13, 15 neu2 Maj2 neu3 4 neu5 min6 Maj6 neu7 0, 2, 3, 5, 7, 9, 11, 13, 15 min2 Maj2 neu3 4 neu5 min6 Maj6 neu7 0, 1, 3, 5, 7, 9, 11, 13, 15

Period: 17\17, Generator: 3\17

14 3 min7 0, 14 Maj2 0, 3	11 3 3 min6 min7 0, 11, 14 Maj2 Maj3 0, 3, 6 Maj2 min7 0, 3, 14	8 3 3 3 neu4 min6 min7 0, 8, 11, 14 Maj2 Maj3 neu5 0, 3, 6, 9 Maj2 Maj3 min7 0, 3, 6, 14 Maj2 min6 min7 0, 3, 11, 14
5 3 3 3 3 neu3 neu4 min6 min7 0, 5, 8, 11, 14 Maj2 Maj3 neu5 neu6 0, 3, 6, 9, 12 Maj2 Maj3 neu5 min7 0, 3, 6, 9, 14 Maj2 Maj3 min6 min7 0, 3, 6, 11, 14 Maj2 neu4 min6 min7 0, 3, 8, 11, 14	3 3 3 3 3 2 Maj2 Maj3 neu5 neu6 neu7 0, 3, 6, 9, 12, 15 Maj2 Maj3 neu5 neu6 min7 0, 3, 6, 9, 12, 14 Maj2 Maj3 neu5 min6 min7 0, 3, 6, 9, 11, 14 Maj2 Maj3 neu4 min6 min7 0, 3, 6, 8, 11, 14 Maj2 neu3 neu4 min6 min7 0, 3, 5, 8, 11, 14 neu2 neu3 neu4 min6 min7 0, 2, 5, 8, 11, 14

Period: 17\17, Generator: 4\17

13 4 Maj6 0, 13 min3 0, 4	9 4 4 neu5 Maj6 0, 9, 13 min3 neu4 0, 4, 8 min3 Maj6 0, 4, 13	5 4 4 4 neu3 neu5 Maj6 0, 5, 9, 13 min3 neu4 neu6 0, 4, 8, 12 min3 neu4 Maj6 0, 4, 8, 13 min3 neu5 Maj6 0, 4, 9, 13
4 4 4 4 1 min3 neu4 neu6 Maj7 0, 4, 8, 12, 16 min3 neu4 neu6 Maj6 0, 4, 8, 12, 13 min3 neu4 neu5 Maj6 0, 4, 8, 9, 13 min3 neu3 neu5 Maj6 0, 4, 5, 9, 13 min2 neu3 neu5 Maj6 0, 1, 5, 9, 13	3 1 3 1 3 1 3 1 1 Maj2 min3 4 neu4 min6 neu6 neu7 Maj7 0, 3, 4, 7, 8, 11, 12, 15, 16 min2 min3 neu3 neu4 neu5 neu6 Maj6 min7 0, 1, 4, 5, 8, 9, 12, 13, 14 Maj2 min3 4 neu4 min6 neu6 Maj6 Maj7 0, 3, 4, 7, 8, 11, 12, 13, 16 min2 min3 neu3 neu4 neu5 5 Maj6 min7 0, 1, 4, 5, 8, 9, 10, 13, 14 Maj2 min3 4 neu4 neu5 neu6 Maj6 Maj7 0, 3, 4, 7, 8, 9, 12, 13, 16 min2 min3 neu3 Maj3 neu5 5 Maj6 min7 0, 1, 4, 5, 6, 9, 10, 13, 14 Maj2 min3 neu3 neu4 neu5 neu6 Maj6 Maj7 0, 3, 4, 5, 8, 9, 12, 13, 16 min2 neu2 neu3 Maj3 neu5 5 Maj6 min7 0, 1, 2, 5, 6, 9, 10, 13, 14 min2 min3 neu3 neu4 neu5 neu6 Maj6 Maj7 0, 1, 4, 5, 8, 9, 12, 13, 16

Period: 17\17, Generator: 5\17

12 5 neu6 0, 12 neu3 0, 5	7 5 5 4 neu6 0, 7, 12 neu3 5 0, 5, 10 neu3 neu6 0, 5, 12
5 5 5 2 neu3 5 neu7 0, 5, 10, 15 neu3 5 neu6 0, 5, 10, 12 neu3 4 neu6 0, 5, 7, 12 neu2 4 neu6 0, 2, 7, 12	3 2 3 2 3 2 2 Maj2 neu3 neu4 5 Maj6 neu7 0, 3, 5, 8, 10, 13, 15 neu2 neu3 4 5 neu6 min7 0, 2, 5, 7, 10, 12, 14 Maj2 neu3 neu4 5 neu6 neu7 0, 3, 5, 8, 10, 12, 15 neu2 neu3 4 neu5 neu6 min7 0, 2, 5, 7, 9, 12, 14 Maj2 neu3 4 5 neu6 neu7 0, 3, 5, 7, 10, 12, 15 neu2 min3 4 neu5 neu6 min7 0, 2, 4, 7, 9, 12, 14 neu2 neu3 4 5 neu6 neu7 0, 2, 5, 7, 10, 12, 15

Period: 17\17, Generator: 6\17

11 6 min6 0, 11 Maj3 0, 6

6 6 5 Maj3 neu6 0, 6, 12 Maj3 min6 0, 6, 11 neu3 min6 0, 5, 11

5 5 1 5 1 neu3 5 min6 Maj7 0, 5, 10, 11, 16 neu3 Maj3 min6 neu6 0, 5, 6, 11, 12 min2 Maj3 4 neu6 0, 1, 6, 7, 12 neu3 Maj3 min6 Maj7 0, 5, 6, 11, 16 min2 Maj3 min6 neu6 0, 1, 6, 11, 12

4 1 4 1 1 4 1 1 min3 neu3 neu5 5 min6 neu7 Maj7 0, 4, 5, 9, 10, 11, 15, 16 min2 neu3 Maj3 4 min6 neu6 Maj6 0, 1, 5, 6, 7, 11, 12, 13 min3 neu3 Maj3 5 min6 neu6 Maj7 0, 4, 5, 6, 10, 11, 12, 16 min2 neu2 Maj3 4 neu4 neu6 Maj6 0, 1, 2, 6, 7, 8, 12, 13 min2 neu3 Maj3 4 min6 neu6 Maj7 0, 1, 5, 6, 7, 11, 12, 16 min3 neu3 Maj3 5 min6 neu7 Maj7 0, 4, 5, 6, 10, 11, 15, 16 min2 neu2 Maj3 4 min6 neu6 Maj6 0, 1, 2, 6, 7, 11, 12, 13 min2 neu3 Maj3 5 min6 neu6 Maj7 0, 1, 5, 6, 10, 11, 12, 16

Period: 17\17, Generator: 7\17

10 7 5 0, 10 4 0, 7	7 7 3 4 min7 0, 7, 14 4 5 0, 7, 10 Maj2 5 0, 3, 10
4 3 4 3 3 min3 4 min6 min7 0, 4, 7, 11, 14 Maj2 4 5 Maj6 0, 3, 7, 10, 13 min3 4 5 min7 0, 4, 7, 10, 14 Maj2 Maj3 5 Maj6 0, 3, 6, 10, 13 Maj2 4 5 min7 0, 3, 7, 10, 14	3 3 3 1 3 3 1 Maj2 Maj3 neu5 5 Maj6 Maj7 0, 3, 6, 9, 10, 13, 16 Maj2 Maj3 4 5 Maj6 min7 0, 3, 6, 7, 10, 13, 14 Maj2 min3 4 5 min6 min7 0, 3, 4, 7, 10, 11, 14 min2 min3 4 neu4 min6 min7 0, 1, 4, 7, 8, 11, 14 Maj2 Maj3 4 5 Maj6 Maj7 0, 3, 6, 7, 10, 13, 16 Maj2 min3 4 5 Maj6 min7 0, 3, 4, 7, 10, 13, 14 min2 min3 4 5 min6 min7 0, 1, 4, 7, 10, 11, 14

Period: 17\17, Generator: 8\17

9 8 neu5 0, 9 neu4 0, 8	8 8 1 neu4 Maj7 0, 8, 16 neu4 neu5 0, 8, 9 min2 neu5 0, 1, 9	7 1 7 1 1 4 neu4 neu7 Maj7 0, 7, 8, 15, 16 min2 neu4 neu5 5 0, 1, 8, 9, 10 4 neu4 neu5 Maj7 0, 7, 8, 9, 16 min2 neu2 neu5 5 0, 1, 2, 9, 10 min2 neu4 neu5 Maj7 0, 1, 8, 9, 16
6 1 1 6 1 1 1 Maj3 4 neu4 min7 neu7 Maj7 0, 6, 7, 8, 14, 15, 16 min2 neu2 neu4 neu5 5 min6 0, 1, 2, 8, 9, 10, 11 min2 4 neu4 neu5 5 Maj7 0, 1, 7, 8, 9, 10, 16 Maj3 4 neu4 neu5 neu7 Maj7 0, 6, 7, 8, 9, 15, 16 min2 neu2 Maj2 neu5 5 min6 0, 1, 2, 3, 9, 10, 11 min2 neu2 neu4 neu5 5 Maj7 0, 1, 2, 8, 9, 10, 16 min2 4 neu4 neu5 neu7 Maj7 0, 1, 7, 8, 9, 15, 16	5 1 1 1 5 1 1 1 1 neu3 Maj3 4 neu4 Maj6 min7 neu7 Maj7 0, 5, 6, 7, 8, 13, 14, 15, 16 min2 neu2 Maj2 neu4 neu5 5 min6 neu6 0, 1, 2, 3, 8, 9, 10, 11, 12 min2 neu2 4 neu4 neu5 5 min6 Maj7 0, 1, 2, 7, 8, 9, 10, 11, 16 min2 Maj3 4 neu4 neu5 5 neu7 Maj7 0, 1, 6, 7, 8, 9, 10, 15, 16 neu3 Maj3 4 neu4 neu5 min7 neu7 Maj7 0, 5, 6, 7, 8, 9, 14, 15, 16 min2 neu2 Maj2 min3 neu5 5 min6 neu6 0, 1, 2, 3, 4, 9, 10, 11, 12 min2 neu2 Maj2 neu4 neu5 5 min6 Maj7 0, 1, 2, 3, 8, 9, 10, 11, 16 min2 neu2 4 neu4 neu5 5 neu7 Maj7 0, 1, 2, 7, 8, 9, 10, 15, 16 min2 Maj3 4 neu4 neu5 min7 neu7 Maj7 0, 1, 6, 7, 8, 9, 14, 15, 16