| Prime factorization
|
29 (prime)
|
| Step size
|
116.166¢
|
| Octave
|
10\29ed7 (1161.66¢)
|
| Fifth
|
6\29ed7 (696.998¢)
|
| Semitones (A1:m2)
|
2:0 (232.3¢ : 0¢)
|
| Consistency limit
|
3
|
| Distinct consistency limit
|
3
|
29ED7 is the equal division of the 7th harmonic into 29 parts of 116.1664 cents each. It is similar to every third step of 31edo.
| degree
|
cents value
|
corresponding
JI intervals
|
comments
|
| 0
|
0.0000
|
exact 1/1
|
|
| 1
|
116.1664
|
77/72, 15/14
|
|
| 2
|
232.3328
|
8/7
|
|
| 3
|
348.4992
|
11/9, 49/40
|
|
| 4
|
464.6656
|
98/75
|
|
| 5
|
580.8321
|
7/5
|
|
| 6
|
696.9985
|
112/75, 121/81, 136/91, 187/125
|
|
| 7
|
813.1649
|
8/5
|
|
| 8
|
929.3313
|
65/38
|
|
| 9
|
1045.4977
|
64/35
|
|
| 10
|
1161.6641
|
88/45, 96/49, 49/25
|
|
| 11
|
1277.8305
|
44/21
|
|
| 12
|
1393.9969
|
38/17, 85/38
|
|
| 13
|
1510.1633
|
|
|
| 14
|
1626.3297
|
64/25
|
|
| 15
|
1742.4962
|
52/19
|
|
| 16
|
1858.6626
|
38/13
|
|
| 17
|
1974.8290
|
25/8
|
|
| 18
|
2090.9954
|
|
|
| 19
|
2207.1618
|
68/19
|
|
| 20
|
2323.3282
|
65/17
|
|
| 21
|
2439.4946
|
45/11
|
|
| 22
|
2555.6610
|
35/8
|
|
| 23
|
2671.8274
|
|
|
| 24
|
2787.9939
|
5/1
|
|
| 25
|
2904.1603
|
75/14
|
|
| 26
|
3020.3267
|
40/7, 63/11
|
|
| 27
|
3136.4931
|
49/8
|
|
| 28
|
3252.6595
|
98/15, 72/11
|
|
| 29
|
3368.8259
|
exact 7/1
|
harmonic seventh plus two octaves
|