| Prime factorization
|
2 × 33
|
| Step size
|
35.2214¢
|
| Octave
|
34\54edt (1197.53¢) (→17\27edt)
|
| Consistency limit
|
7
|
| Distinct consistency limit
|
7
|
Division of the third harmonic into 54 equal parts (54EDT) is related to 34 edo, but with the 3/1 rather than the 2/1 being just. The octave is about 2.4728 cents compressed and the step size is about 35.2214 cents. It is consistent to the 7-integer-limit, but not to the 8-integer-limit. In comparison, 34edo is only consistent up to the 6-integer-limit.
| degree
|
cents value
|
hekts
|
corresponding
JI intervals
|
comments
|
| 0
|
exact 1/1
|
|
| 1
|
35.2214
|
24.0741
|
50/49, 49/48
|
|
| 2
|
70.4428
|
48.14815
|
25/24
|
|
| 3
|
105.6642
|
72.2222
|
17/16
|
|
| 4
|
140.8856
|
96.2963
|
13/12
|
|
| 5
|
176.1069
|
120.3704
|
10/9
|
|
| 6
|
211.3283
|
144.4444
|
26/23
|
|
| 7
|
246.5497
|
168.5185
|
15/13
|
|
| 8
|
281.7711
|
192.5926
|
20/17
|
|
| 9
|
316.9925
|
216.6667
|
6/5
|
|
| 10
|
352.2139
|
240.7407
|
11/9
|
|
| 11
|
387.4353
|
264.8148
|
5/4
|
|
| 12
|
422.6567
|
288.8889
|
23/18
|
|
| 13
|
457.8781
|
312.963
|
13/10
|
|
| 14
|
493.0994
|
337.037
|
4/3
|
|
| 15
|
528.3208
|
361.1111
|
19/14
|
|
| 16
|
563.5422
|
385.1852
|
18/13
|
|
| 17
|
598.7636
|
409.2593
|
41/29, 140/99
|
|
| 18
|
633.985
|
433.3333
|
13/9
|
|
| 19
|
669.2064
|
457.4074
|
28/19
|
|
| 20
|
704.4278
|
481.4815
|
3/2
|
|
| 21
|
739.6492
|
505.5559
|
20/13
|
|
| 22
|
774.8706
|
529.6296
|
36/23
|
|
| 23
|
810.0919
|
553.7037
|
8/5
|
|
| 24
|
845.3133
|
577.7778
|
44/27
|
|
| 25
|
880.5347
|
601.85185
|
5/3
|
|
| 26
|
915.7561
|
625.9259
|
17/10
|
|
| 27
|
950.9775
|
650
|
26/15
|
|
| 28
|
986.1989
|
674.074
|
23/13
|
|
| 29
|
1021.4203
|
698.14815
|
9/5
|
|
| 30
|
1056.6417
|
722.2222
|
81/44
|
|
| 31
|
1091.8631
|
746.2963
|
15/8
|
|
| 32
|
1127.0844
|
770.3704
|
23/12
|
|
| 33
|
1162.3058
|
794.4444
|
49/25, 96/49
|
|
| 34
|
1197.5272
|
818.5185
|
2/1
|
|
| 35
|
1232.7486
|
842.5926
|
100/49, 49/24
|
|
| 36
|
1267.97
|
866.6667
|
25/12
|
|
| 37
|
1303.1914
|
890.7407
|
17/8
|
|
| 38
|
1338.4128
|
914.8148
|
13/6
|
|
| 39
|
1373.6342
|
938.8889
|
20/9, 42/19
|
|
| 40
|
1408.8556
|
962.963
|
88/39
|
|
| 41
|
1444.0769
|
987.037
|
76/33
|
|
| 42
|
1479.2983
|
1011.1111
|
47/20
|
|
| 43
|
1514.5197
|
1035.1852
|
12/5
|
|
| 44
|
1549.7411
|
1059.2593
|
27/11
|
|
| 45
|
1584.9625
|
1083.3333
|
5/2
|
|
| 46
|
1620.1839
|
1107.4074
|
51/20
|
|
| 47
|
1655.4053
|
1131.4815
|
13/5
|
|
| 48
|
1690.6267
|
1155.5556
|
8/3
|
|
| 49
|
1725.8481
|
1179.6297
|
19/7
|
|
| 50
|
1761.0694
|
1203.7037
|
36/13
|
|
| 51
|
1796.2908
|
1227.7778
|
48/17
|
|
| 52
|
1831.5122
|
1251.85185
|
72/25
|
|
| 53
|
1866.7336
|
1275.5926
|
50/17
|
|
| 54
|
1901.9550
|
1300
|
exact 3/1
|
just perfect fifth plus an octave
|