130edo
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 [[Würschmidt_family#Hemiw�rschmidt|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[edit]
| 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 |