65536edo

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Revision as of 19:55, 6 May 2023 by Aura (talk | contribs) (Created page with "{{Infobox ET}} {{EDO intro|65536}} == Theory == {{Harmonics in equal|65536}} This is the 16th power of two EDO, and the first such EDO to be consistent in the 23-odd-limit.")
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← 65535edo 65536edo 65537edo →
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

Template:EDO intro

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 (%) +0.0 -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)

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