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 0.0183 ¢ each. Each step represents a frequency ratio of 21/65536, or the 65536th root of 2.

65536edo is the 16th power-of-two edo, and the first such edo to be consistent in the 23-odd-limit. It also has potential in the 27-odd-limit, with the only inconsistent intervals being 25/22, 44/25, 27/25, and 50/27.

Prime harmonics

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 (%) +0.0 -10.2 +12.0 +18.8 -31.1 -1.7 +3.5 -17.8 -15.6 +35.8 -20.9
Steps
(reduced)
65536
(0)
103872
(38336)
152170
(21098)
183983
(52911)
226717
(30109)
242512
(45904)
267876
(5732)
278392
(16248)
296456
(34312)
318373
(56229)
324678
(62534)