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

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