Prime factorization
|
22 × 32
|
Step size
|
77.3976¢
|
Octave
|
16\36ed5 (1238.36¢) (→4\9ed5)
|
Twelfth
|
25\36ed5 (1934.94¢)
|
Consistency limit
|
3
|
Distinct consistency limit
|
3
|
Special properties
|
|
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
|