130edo

130edo divides the octave into 130 parts of size 9.231 cents each.

130edo is the tenth zeta integral edo but not a gap edo. It can be used to tune a variety of temperaments, including hemiwürschmidt, sesquiquartififths, harry and hemischismic. It also can be used to tune the rank-three temperament jove, tempering out 243/242 and 441/440, plus 364/363 for the 13-limit and 595/594 for the 17-limit. It gives the optimal patent val for 11-limit hemiwürschmidt and sesquart and 13-limit harry temperaments.

7-limit commas: 2401/2400, 3136/3125, 19683/19600

11-limit commas: 441/440, 540/539, 3136/3125, 4000/3993

13-limit commas: 3136/3125, 243/242, 441/440, 351/350, 364/363

17-limit commas: 221/220, 364/363, 442/441, 595/594, 1275/1274, 4913/4875

Intervals

Degree	Cents	Associated Temperament
0	0.000
1	9.231
2	18.462
3	27.692
4	36.923
5	46.154
6	55.385
7	64.615
8	73.846
9	83.077	Harry
10	92.308
11	101.538
12	110.769
13	120.000
14	129.231
15	138.462
16	147.692
17	156.923
18	166.154
19	175.385	Sesquart
20	184.615
21	193.846	Hemiwürschmidt
22	203.077
23	212.308
24	221.538
25	230.769
26	240.000
27	249.231	Hemischismic
28	258.462
29	267.692
30	276.923
31	286.154
32	295.385
33	304.615
34	313.846
35	323.077
36	332.308
37	341.538
38	350.769
39	360.000
40	369.231
41	378.462
42	387.692
43	396.923
44	406.154
45	415.385
46	424.615
47	433.846
48	443.077
49	452.308
50	461.538
51	470.769
52	480.000
53	489.231
54	498.462
55	507.692
56	516.923
57	526.154
58	535.385
59	544.615
60	553.846
61	563.077
62	572.308
63	581.538
64	590.769
65	600.000
…	…	…

Music

The Paradise of Cantor play by Gene Ward Smith