| Prime factorization
|
22 × 32 (highly composite)
|
| Step size
|
77.3976 ¢
|
| Octave
|
16\36ed5 (1238.36 ¢) (→ 4\9ed5)
|
| Twelfth
|
25\36ed5 (1934.94 ¢)
|
| Consistency limit
|
3
|
| Distinct consistency limit
|
3
|
The 36 equal divisions of the fifth harmonic (5/1) is a tuning that divides the pentave into 36 equal steps. It combines Carlos Alpha scale with quarter-comma meantone. The step size is 77.3976 cents, thus making the tuning correspond to 15.5044 EDO. As a consequence of this, 36ed5 completely misses 2/1.
Theory
Selected intervals in 36ed5
| Step |
Just approximation |
Size (cents)
|
| 1 |
23/22 |
77.3976
|
| 3 |
8/7 |
232.1928
|
| 5 |
5/4 |
386.9880
|
| 6
|
21/16
|
464.3856
|
| 9 |
3/2 |
696.5784
|
| 19 |
7/3 |
1470.554
|
| 28 |
7/2 |
2167.1329
|
| 31 |
4/1 |
2399.326
|
| 36 |
exact 5/1 |
2786.314
|