| Prime factorization
|
33
|
| Step size
|
25.9983¢
|
| Octave
|
46\27edf (1195.92¢)
|
| Twelfth
|
73\27edf (1897.88¢)
|
| Consistency limit
|
6
|
| Distinct consistency limit
|
6
|
Division of the just perfect fifth into 27 equal parts (27EDF) is related to 46 edo, but with the 3/2 rather than the 2/1 being just. The octave is about 4.0767 cents compressed and the step size is about 25.9983 cents. Unlike 46edo, it is only consistent up to the 6-integer-limit, with discrepancy for the 7th harmonic. It is related to the regular temperament which tempers out 4375/4374 and 2199023255552/2188322577315 in the 7-limit, which is supported by 46, 323, 369, 415, and 692 EDOs.
Lookalikes: 46edo, 73edt
Intervals
| degree
|
cents value
|
corresponding
JI intervals
|
comments
|
| 0
|
exact 1/1
|
|
| 1
|
25.9983
|
|
|
| 2
|
51.9967
|
|
|
| 3
|
77.9950
|
|
|
| 4
|
103.9933
|
|
|
| 5
|
129.9917
|
69/64
|
|
| 6
|
155.9900
|
|
|
| 7
|
181.9883
|
10/9
|
|
| 8
|
207.9867
|
|
pseudo-9/8
|
| 9
|
233.9850
|
|
pseudo-8/7
|
| 10
|
259.9833
|
|
pseudo-7/6
|
| 11
|
285.9817
|
|
|
| 12
|
311.9800
|
|
pseudo-6/5
|
| 13
|
337.9783
|
175/144
|
|
| 14
|
363.9767
|
216/175
|
|
| 15
|
389.9750
|
|
pseudo-5/4
|
| 16
|
415.9733
|
|
|
| 17
|
441.9717
|
|
pseudo-9/7
|
| 18
|
467.9700
|
|
|
| 19
|
493.9683
|
|
pseudo-4/3
|
| 20
|
519.9667
|
27/20
|
|
| 21
|
545.9650
|
|
|
| 22
|
571.9633
|
32/23
|
|
| 23
|
597.9617
|
|
|
| 24
|
623.9600
|
|
|
| 25
|
649.9583
|
|
|
| 26
|
675.9567
|
|
|
| 27
|
701.9550
|
exact 3/2
|
just perfect fifth
|