| Prime factorization
|
2 × 29
|
| Step size
|
12.1027 ¢
|
| Octave
|
99\58edf (1198.16 ¢)
|
| Twelfth
|
157\58edf (1900.12 ¢)
|
| Consistency limit
|
12
|
| Distinct consistency limit
|
12
|
Division of the just perfect fifth into 58 equal parts (58EDF) is related to 99edo, but with the 3/2 rather than the 2/1 being just. The octave is about 1.8354 cents compressed and the step size is about 12.1027 cents (corresponding to 99.1517 edo). It is consistent to the 12-integer-limit. In comparison, 99edo is only consistent up to the 10-integer-limit.
Intervals
|
Todo: complete table
The mapping for 11 and 13 should differ from 99edo.
|
| Degrees
|
Cents Value
|
Five limit
|
Seven limit
|
Eleven limit
|
Thirteen limit
|
| 1
|
12.1027
|
2048/2025
|
126/125
|
99/98
|
91/90
|
| 2
|
24.2053
|
81/80
|
64/63
|
55/54
|
| 3
|
36.308
|
128/125
|
49/48
|
| 4
|
48.4107
|
250/243
|
36/35
|
33/32
|
| 5
|
60.5134
|
648/625
|
28/27
|
26/25
|
| 6
|
72.616
|
25/24
|
22/21
|
| 7
|
84.7187
|
256/243
|
21/20
|
| 8
|
96.8214
|
135/128
|
81/77
|
52/49
|
| 9
|
108.92405
|
16/15
|
| 10
|
121.0267
|
2187/2048
|
15/14
|
| 11
|
133.1294
|
27/25
|
13/12
|
| 12
|
145.2321
|
625/576
|
49/45
|
| 13
|
157.3347
|
800/729
|
35/32
|
11/10
|
| 14
|
169.4374
|
1125/1024
|
54/49
|
| 15
|
181.54
|
10/9
|
10/9
|
| 16
|
193.6428
|
4096/3645
|
28/25
|
| 17
|
205.7454
|
9/8
|
| 18
|
217.8481
|
256/225
|
245/216
|
112/99
|
91/80
|
| 19
|
229.9508
|
729/640
|
8/7
|
| 20
|
242.05345
|
144/125
|
63/55
|
52/45
|
| 21
|
254.1561
|
125/108
|
81/70
|
15/13
|
| 22
|
266.2587
|
729/625
|
7/6
|
| 23
|
278.3615
|
75/64
|
33/28
|
| 24
|
290.4641
|
32/27
|
32/27
|
13/11
|
| 25
|
302.5668
|
1215/1024
|
25/21
|
| 26
|
314.6695
|
6/5
|
| 27
|
326.7722
|
3125/2592
|
98/81
|
91/75
|
| 28
|
338.8748
|
243/200
|
128/105
|
11/9
|
| 29
|
350.9775
|
625/512
|
49/40
|
| 30
|
363.0802
|
100/81
|
27/22
|
16/13
|
| 31
|
375.18285
|
3888/3125
|
56/45
|
| 32
|
387.2855
|
5/4
|
| 33
|
399.3882
|
512/405
|
63/50
|
49/39
|
| 34
|
411.4909
|
81/64
|
80/63
|
33/26
|
| 35
|
423.5935
|
32/25
|
14/11
|
| 36
|
435.6962
|
625/486
|
9/7
|
| 37
|
447.7989
|
162/125
|
35/27
|
13/10
|
| 38
|
459.90155
|
125/96
|
64/49
|
55/42
|
| 39
|
472.0042
|
320/243
|
21/16
|
| 40
|
484.1069
|
675/512
|
250/189
|
65/49
|
| 41
|
469.2096
|
4/3
|
| 42
|
508.3122
|
8192/6075
|
75/56
|
66/49
|
| 43
|
520.4149
|
27/20
|
| 44
|
532.5176
|
512/375
|
49/36
|
| 45
|
544.6203
|
1000/729
|
48/35
|
11/8
|
| 46
|
556.7229
|
864/625
|
112/81
|
91/66
|
| 47
|
568.8256
|
25/18
|
18/13
|
| 48
|
580.9283
|
1024/729
|
7/5
|
| 49
|
593.03095
|
45/32
|
| 50
|
605.1336
|
64/45
|
| 51
|
617.2362
|
729/512
|
10/7
|
| 52
|
629.339
|
36/25
|
13/9
|
| 53
|
641.4416
|
625/432
|
81/56
|
75/52
|
| 54
|
653.5443
|
729/500
|
35/24
|
16/11
|
| 55
|
665.647
|
375/256
|
72/49
|
| 56
|
677.7497
|
40/27
|
| 57
|
689.8523
|
6075/4096
|
112/75
|
49/33
|
| 58
|
701.955
|
3/2
|
| 59
|
714.0577
|
1024/675
|
189/125
|
91/60
|
| 60
|
726.16035
|
243/160
|
32/21
|
| 61
|
738.263
|
192/125
|
49/32
|
| 62
|
750.3657
|
125/81
|
54/35
|
20/13
|
| 63
|
762.4684
|
972/625
|
14/9
|
| 64
|
774.571
|
25/16
|
11/7
|
| 65
|
786.6737
|
128/81
|
63/40
|
52/33
|
| 66
|
798.7764
|
405/256
|
100/63
|
78/49
|
| 67
|
810.87905
|
8/5
|
| 68
|
822.9817
|
3125/1944
|
45/28
|
| 69
|
835.0844
|
81/50
|
44/27
|
13/8
|
| 70
|
847.1871
|
625/384
|
49/30
|
| 71
|
859.2897
|
400/243
|
105/64
|
18/11
|
| 72
|
871.3924
|
3375/2048
|
81/49
|
| 73
|
883.4951
|
5/3
|
| 74
|
895.5978
|
2048/1215
|
42/25
|
| 75
|
907.7004
|
27/16
|
22/13
|
| 76
|
919.8031
|
128/75
|
56/33
|
56/33
|
| 77
|
931.9058
|
1250/729
|
12/7
|
| 78
|
944.00845
|
216/125
|
140/81
|
26/15
|
| 79
|
956.1111
|
125/72
|
110/63
|
45/26
|
| 80
|
968.2138
|
1280/729
|
7/4
|
| 81
|
980.3165
|
225/128
|
225/128
|
99/56
|
| 82
|
992.4191
|
16/9
|
| 83
|
1004.5218
|
3645/2048
|
25/14
|
| 84
|
1016.6245
|
9/5
|
| 85
|
1028.7272
|
2048/1125
|
49/27
|
| 86
|
1040.8298
|
729/400
|
64/35
|
11/6
|
| 87
|
1052.9325
|
1152/625
|
90/49
|
| 88
|
1065.0352
|
50/27
|
| 89
|
1077.13785
|
4096/2187
|
28/15
|
| 90
|
1089.2405
|
15/8
|
| 91
|
1101.3432
|
256/135
|
189/100
|
154/81
|
49/26
|
| 92
|
1113.4459
|
243/128
|
40/21
|
| 93
|
1125.5485
|
48/25
|
| 94
|
1137.6512
|
625/324
|
27/14
|
25/13
|
| 95
|
1149.7539
|
243/125
|
35/18
|
35/18
|
| 96
|
1161.8566
|
125/64
|
49/25
|
49/25
|
| 97
|
1173.9592
|
160/81
|
63/32
|
| 98
|
1186.0619
|
2025/1024
|
125/63
|
| 99
|
1198.1646
|
2/1
|
| 100
|
1210.2672
|
4096/2025
|
252/125
|
99/49
|
91/45
|
| 101
|
1222.3699
|
81/40
|
128/63
|
55/27
|
| 102
|
1234.4726
|
256/125
|
49/24
|
| 103
|
1246.5753
|
500/243
|
72/35
|
33/16
|
| 104
|
1258.6779
|
1296/625
|
56/27
|
52/25
|
| 105
|
1270.7806
|
25/12
|
44/21
|
| 106
|
1282.8833
|
512/243
|
21/10
|
| 107
|
1294.98595
|
135/64
|
162/77
|
104/49
|
| 108
|
1307.0886
|
32/15
|
| 109
|
1319.1913
|
2187/1024
|
15/7
|
| 110
|
1331.294
|
54/25
|
13/6
|
| 111
|
1343.3966
|
625/288
|
98/45
|
| 112
|
1355.4993
|
1600/729
|
35/16
|
11/5
|
| 113
|
1367.602
|
1125/512
|
108/49
|
| 114
|
1379.7047
|
20/9
|
| 115
|
1391.8073
|
8192/3645
|
56/25
|
| 116
|
1403.91
|
9/4
|
See also
