| Prime factorization
|
29 (prime)
|
| Step size
|
65.5847¢
|
| Octave
|
18\29edt (1180.52¢)
|
| Fifth
|
11\29edt (721.431¢)
|
| Semitones (A1:m2)
|
5:-1 (327.9¢ : -65.58¢)
|
| Consistency limit
|
2
|
| Distinct consistency limit
|
2
|
29EDT is the equal division of the third harmonic into 29 parts of 65.5847 cents each, corresponding to 18.2970 edo. It is related to the luminal temperament.
| steps
|
cents
|
hekts
|
corresponding
JI intervals
|
comments
|
| 0
|
1/1
|
|
| 1
|
65.5847
|
44.8276
|
27/26
|
|
| 2
|
131.1693
|
89.6552
|
14/13, 27/25, 55/51
|
|
| 3
|
196.7540
|
134.4828
|
9/8, 28/25
|
pseudo-10/9
|
| 4
|
262.3386
|
179.3103
|
7/6
|
|
| 5
|
327.9233
|
224.1379
|
|
pseudo-6/5
|
| 6
|
393.5079
|
268.9655
|
64/51
|
pseudo-5/4
|
| 7
|
459.0926
|
313.7931
|
13/10
|
|
| 8
|
524.6772
|
358.6206
|
65/48, 27/20
|
|
| 9
|
590.2619
|
403.4483
|
45/32
|
|
| 10
|
655.8466
|
448.2759
|
16/11
|
|
| 11
|
721.4312
|
493.1034
|
|
pseudo-3/2
|
| 12
|
787.0159
|
537.9310
|
63/40, 52/33
|
pseudo-8/5
|
| 13
|
852.6005
|
582.7586
|
18/11
|
flat pseudo-5/3
|
| 14
|
918.1852
|
627.5862
|
17/10
|
sharp pseudo-5/3
|
| 15
|
983.7698
|
672.4138
|
30/17
|
flat pseudo-9/5
|
| 16
|
1049.3545
|
717.2414
|
11/6
|
sharp pseudo-9/5
|
| 17
|
1114.9391
|
772.0690
|
99/52, 40/21
|
pseudo-15/8
|
| 18
|
1180.5238
|
806.8966
|
|
pseudooctave
|
| 19
|
1246.1084
|
851.7241
|
33/16
|
|
| 20
|
1311.6931
|
896.5517
|
32/15
|
|
| 21
|
1377.2778
|
941.3794
|
144/65, 20/9
|
|
| 22
|
1442.8624
|
986.2069
|
30/13
|
pseudo-7/3 (7/6 plus pseudooctave)
|
| 23
|
1508.4471
|
1031.0345
|
153/64
|
pseudo-12/5
|
| 24
|
1574.0317
|
1075.8621
|
|
pseudo-5/2
|
| 25
|
1639.6164
|
1120.6897
|
18/7
|
|
| 26
|
1705.2010
|
1165.5172
|
8/3, 75/28
|
pseudo-27/10
|
| 27
|
1770.7857
|
1210.3448
|
39/14, 25/9, 153/55
|
|
| 28
|
1836.3703
|
1255.1724
|
26/9
|
|
| 29
|
1901.9550
|
1300.0000
|
3/1
|
just perfect fifth plus an octave
|