65536edo

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← 65535edo65536edo65537edo →
Prime factorization 216
Step size 0.0183105¢
Fifth 38336\65536 (701.953¢) (→599\1024)
Semitones (A1:m2) 6208:4928 (113.7¢ : 90.23¢)
Consistency limit 23
Distinct consistency limit 23

65536 equal divisions of the octave (abbreviated 65536edo or 65536ed2), also called 65536-tone equal temperament (65536tet) or 65536 equal temperament (65536et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 65536 equal parts of about 0.018 ¢ each. Each step represents a frequency ratio of 21/65536, or the 65536th root of 2.

Theory

Approximation of prime harmonics in 65536edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error absolute (¢) +0.00000 -0.00188 +0.00220 +0.00344 -0.00569 -0.00032 +0.00065 -0.00325 -0.00286 +0.00655 -0.00383
relative (%) +0 -10 +12 +19 -31 -2 +4 -18 -16 +36 -21
Steps
(reduced)
65536
(0)
103872
(38336)
152170
(21098)
183983
(52911)
226717
(30109)
242512
(45904)
267876
(5732)
278392
(16248)
296456
(34312)
318373
(56229)
324678
(62534)

This is the 16th power of two EDO, and the first such EDO to be consistent in the 23-odd-limit.