User:Fitzgerald Lee/Sandbox

First and second edos to have N number of consistent thirds (range is 15/13 to 13/10, 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	8	6/5, 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	31	7/6, 6/5, 5/4, 11/9, 14/11
6	29	15/13, 13/11, 6/5, 16/13, 14/11, 13/10	(41)	(~)
7	(41)	(~)	(58)	(~)
8	(41)	(~)	(58)	(~)
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

This list could be used to get the minimal edos to add more flavours (of thirds).

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
1
2
3								1								1
4				1				1								1
5				1				1								2					2
8								2								3
15				3				4								5
18				4				5								6
19				4				5								6					7
22				5				6				6				7					8
26				6		6		7				8	8			8			9		9		10
29		6		6		7		8				8	9			9			10		11		11
31				7				8				9				10			11		11
41		8		9		10		11				12	12			13			14		15		16
58		12		13	14	14		15		16		17	17			19			20		21		22
72
80
94