130edo

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130edo divides the octave into 130 parts of size 9.231 cents each. It 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 of 130edo cents value associated temperament
0 0.00
1 9.23
2 18.46
3 27.69
4 36.92
5 46.15
6 55.38
7 64.62
8 73.85
9 83.08 harry
10 92.31
11 101.54
12 110.77
13 120
14 129.23
15 138.46
16 147.69
17 156.92
18 166.15
19 175.38 sesquart
20 184.62
21 193.85 [[Würschmidt_family#Hemiw�rschmidt|hemiwürschmidt]]
22 203.08
23 212.31
24 221.54
25 230.77
26 240
27 249.23 hemischismic
28 258.46
29 267.69
30 276.92
31 286.15
32 295.38
33 304.62
34 313.85
35 323.08
36 332.31
37 341.54
38 350.77
39 360
40 369.23
41 378.46
42 387.69
43 396.92
44 406.15
45 415.38
46 424.62
47 433.85
48 443.08
49 452.31
50 461.54
51 470.77
52 480
53 489.23
54 498.46
55 507.69
56 516.92
57 526.15
58 535.38
59 544.62
60 553.85
61 563.08
62 572.31
63 581.54
64 590.77
65 600
66 609.23
67 618.46
68 627.69
69 636.92
70 646.15
71 655.38
72 664.62
73 673.85
74 683.08
75 692.31
76 701.54
77 710.77
78 720
79 729.23
80 738.46
81 747.69
82 756.92
83 766.15
84 775.38
85 784.62
86 793.85
87 803.08
88 812.31
89 821.54
90 830.77
91 840
92 849.23
93 858.46
94 867.69
95 876.92
96 886.15
97 895.38
98 904.62
99 913.85
100 923.08
101 932.31
102 941.54
103 950.77
104 960
105 969.23
106 978.46
107 987.69
108 996.92
109 1006.15
110 1015.38
111 1024.62
112 1033.85
113 1043.08
114 1052.31
115 1061.54
116 1070.77
117 1080
118 1089.23
119 1098.46
120 1107.69
121 1116.92
122 1126.15
123 1135.38
124 1144.62
125 1153.85
126 1163.08
127 1172.31
128 1181.54
129 1190.77

Music

The Paradise of Cantor play by Gene Ward Smith