| Prime factorization
|
2 × 17
|
| Step size
|
20.6457¢
|
| Octave
|
58\34edf (1197.45¢) (→29\17edf)
|
| Twelfth
|
92\34edf (1899.41¢) (→46\17edf)
|
| Consistency limit
|
15
|
| Distinct consistency limit
|
9
|
Division of the just perfect fifth into 34 equal parts (34EDF) is related to 58 edo, but with the 3/2 rather than the 2/1 being just. The octave is about 2.5474 cents compressed and the step size is about 20.6457 cents (corresponding to 58.1234 edo). The patent val has a generally flat tendency for harmonics up to 16, with the exception for 5. Unlike 58edo, it is only consistent up to the 15-integer-limit, with discrepancy for the 16th harmonic (four octaves).
Lookalikes: 58edo, 92edt
Intervals
| Degree
|
Cents
|
Approx. ratios
|
| 0
|
1/1
|
| 1
|
20.6457
|
56/55, 64/63, 81/80, 128/125
|
| 2
|
41.2915
|
6/35, 49/48, 50/49, 55/54
|
| 3
|
61.9372
|
25/24, 26/25, 27/26, 28/27, 33/32
|
| 4
|
82.5829
|
21/20, 22/21
|
| 5
|
103.2287
|
16/15, 17/16, 18/17
|
| 6
|
123.8744
|
15/14, 14/13
|
| 7·
|
144.52015
|
12/11, 13/12
|
| 8
|
165.1659
|
11/10
|
| 9
|
185.8116
|
10/9
|
| 10
|
206.45735
|
9/8
|
| 11
|
227.1031
|
8/7
|
| 12·
|
248.7488
|
15/13
|
| 13
|
268.3946
|
7/6
|
| 14
|
289.0403
|
13/11, 20/17
|
| 15
|
309.686
|
6/5
|
| 16
|
330.3318
|
17/14
|
| 17·
|
350.9775
|
11/9, 16/13
|
| 18
|
371.6232
|
21/17
|
| 19
|
392.269
|
5/4
|
| 20
|
412.9147
|
14/11
|
| 21
|
433.5604
|
9/7
|
| 22·
|
455.2062
|
13/10, 17/13, 22/17
|
| 23
|
474.8519
|
21/16
|
| 24
|
495.49765
|
4/3
|
| 25
|
516.1434
|
27/20
|
| 26
|
536.7891
|
15/11
|
| 27
|
557.43485
|
11/8, 18/13
|
| 28
|
578.0806
|
7/5
|
| 29
|
598.7263
|
17/12, 24/17
|
| 30
|
619.3721
|
10/7
|
| 31
|
640.0178
|
13/9, 16/11
|
| 32
|
660.6635
|
22/15
|
| 33
|
681.3093
|
40/27
|
| 34
|
701.955
|
3/2
|
| 35
|
722.6007
|
32/21
|
| 36
|
743.2465
|
20/13, 26/17, 17/11
|
| 37
|
763.8922
|
14/9
|
| 38
|
784.5379
|
11/7
|
| 39
|
805.1837
|
8/5
|
| 40
|
825.8294
|
34/21
|
| 41
|
846.47515
|
13/8, 18/11
|
| 42
|
867.1209
|
28/17
|
| 43
|
887.7666
|
5/3,
|
| 44
|
908.41235
|
22/13, 17/10
|
| 45
|
929.0581
|
12/7
|
| 46
|
949.7038
|
26/15
|
| 47
|
970.35
|
7/4
|
| 48
|
990.9952
|
16/9
|
| 49
|
1011.641
|
9/5
|
| 50
|
1032.32868
|
20/11
|
| 51
|
1052.9235
|
11/6, 24/13
|
| 52
|
1073.5782
|
28/15, 13/7
|
| 53
|
1094.224
|
15/8, 32/17, 17/9
|
| 54
|
1114.8697
|
40/21, 21/11
|
| 55
|
1135.5154
|
48/25, 25/13, 52/27, 27/14, 64/33
|
| 56
|
1156.1612
|
35/18, 96/49, 49/25, 108/55
|
| 57
|
1176.8069
|
55/28, 63/32, 160/81, 125/64
|
| 58
|
1197.45265
|
2/1
|
| 59
|
1218.0984
|
112/55, 128/63, 81/40, 256/125
|
| 60
|
1238.7441
|
72/35, 49/24, 100/49, 55/27
|
| 61
|
1259.38985
|
25/12, 52/25, 27/13, 56/27, 33/16
|
| 62
|
1280.0356
|
21/10, 44/21
|
| 63
|
1300.6813
|
32/15, 17/8, 36/17
|
| 64
|
1321.3271
|
15/7, 28/13
|
| 65
|
1341.9728
|
24/11, 13/5
|
| 66
|
1362.6185
|
11/10
|
| 67
|
1383.3643
|
20/9
|
| 68
|
1403.91
|
9/4
|