36ed5
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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
| 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 |