editing disabled

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
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