User:Fitzgerald Lee/Edo Thirds

First and second edos to have N number of thirds consistent in its odd limit (range is 23/20 to 30/23, closest JI interpretation that is consistent in the edo’s odd limit is shown):

Number of thirds	First edo	Thirds	Second edo	Thirds
0	1	None	2	None
1	3	5/4	4	6/5
2	5	7/6, 9/7	6	7/6, 5/4
3	15	7/6, 6/5, 5/4	18	7/6, 6/5, 5/4
4	19	7/6, 6/5, 5/4, 9/7	22	7/6, 6/5, 5/4, 9/7
5	26	7/6, 6/5, 16/13, 14/11, 13/10	(29)	(~)
6	29	15/13, 13/11, 6/5, 16/13, 14/11, 13/10	(41)	(~)
7	(41)	(~)	(46)	(~)
8	(41)	(~)	46	7/6, 13/11, 6/5, 11/9, 16/13, 5/4, 14/11, 9/7
9	41	15/13, 7/6, 13/11, 6/5, 11/9, 5/4, 14/11, 9/7, 13/10	(58)	(~)
10	58	15/13, 7/6, 13/11, 6/5, 17/14, 11/9, 5/4, 14/11, 9/7, 13/10	(72)	(~)
11	72	15/13, 7/6, 20/17, 6/5, 17/14, 11/9, 16/13, 5/4, 14/11, 9/7, 22/17	(80)	(~)
12	(80)	(~)	(94)	(~)
13	80	22/19, 7/6, 20/17, 19/16, 6/5, 17/14, 11/9, 16/13, 5/4, 24/19, 14/11, 9/7, 22/17	(94)	(~)
14	(94)	(~)
15	(94)	(~)
16	94	23/20, 22/19, 7/6, 20/17, 19/16, 6/5, 23/19, 11/9, 16/13, 26/21, 5/4, 19/15, 23/18, 9/7, 22/17, 30/23

Edo	7/6	6/5	11/9	5/4	14/11	9/7
1
2
3		1		1
4	1	1		1
5	1	1		2		2
6	1	2		2
7		2		2
8		2		3
9		2		3
10		3		3
11
12	3	3		4		4
13
14
15	3	4		5
16	4	4		5
17
18	4	5		6
19	4	5		6		7
20
21
22	5	6	6	7	8	8
23		6		7
24		6		8
25		7		8

Edo	15/13	7/6	13/11	6/5	11/9	16/13	5/4	14/11	9/7	13/10
26		6	6	7	8	8	8	9	9	10
27		6		7			9		10	10
28				7			9
29	6	6	7	8	8	9	9	10	11	11
30				8			10
31		7		8	9		10	11	11
32
33
34				9			11
35		8		9			11
36		8		9			12
37		8		10			12
38				10			12
39				10			13
40
41	8	9	10	11	12	12	13	14	15	16
42		9		11			14
43		10		11			14
44				12			14
45		10		12			14
46		10	11	12	13	14	15	16	17	17
47				12			15
48				13			15
49		11		13			16
50		11		13			16		18

Edo	15/13	7/6	20/17	13/11	6/5	17/14	11/9	16/13	5/4	14/11	9/7	22/17	13/10
51
52
53		12			14				17		19
54
55					14				18
56		12			15				18
57		13			15				18
58	12	13	14	14	15	16	17	17	19	20	21	22	22
59		13			16				19
60		13			16				19		22
61					16				20
62		14			16				20
63		14			17				20
64
65					17				21
66
67
68		15			18				22		25
69					18				22
70		16			18				23		25
71					19				23
72	15	16	17	17	19	20	21	22	23	25	26	27	27
73		16			19				24
74					19				24
75					20				24

Edo	23/20	15/13	22/19	7/6	20/17	13/11	19/16	6/5	23/19	17/14	28/23	11/9	16/13	21/17	26/21	5/4	24/19	19/15	14/11	23/18	9/7	22/17	13/10	30/23
80		17	17	18	19	19	20	21		22		23	24			26	27	27	28		29	30	30
94	19	19	20	21	22	23	23	25	26	26	27	27	28	29	29	30	32	32	33	33	34	35	36	36