16384edo

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← 16383edo16384edo16385edo →
Prime factorization 214
Step size 0.0732422¢
Fifth 9584\16384 (701.953¢) (→599\1024)
Semitones (A1:m2) 1552:1232 (113.7¢ : 90.23¢)
Consistency limit 5
Distinct consistency limit 5

16384 equal divisions of the octave (abbreviated 16384edo), or 16384-tone equal temperament (16384tet), 16384 equal temperament (16384et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 16384 equal parts of about 0.0732 ¢ each. Each step of 16384edo represents a frequency ratio of 21/16384, or the 16384th root of 2.

Theory

Approximation of prime harmonics in 16384edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error absolute (¢) +0.0000 -0.0019 -0.0344 +0.0217 -0.0240 -0.0003 +0.0006 -0.0033 -0.0029 -0.0118 +0.0328
relative (%) +0 -3 -47 +30 -33 -0 +1 -4 -4 -16 +45
Steps
(reduced)
16384
(0)
25968
(9584)
38042
(5274)
45996
(13228)
56679
(7527)
60628
(11476)
66969
(1433)
69598
(4062)
74114
(8578)
79593
(14057)
81170
(15634)

This is the 14th power of two EDO, however, it's even less impressive than the one before it, with a consistency limit of only 5.