99694edo

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← 99693edo 99694edo 99695edo →
Prime factorization 2 × 7 × 7121
Step size 0.0120368¢ 
Fifth 58317\99694 (701.952¢) (→8331\14242)
Semitones (A1:m2) 9443:7497 (113.7¢ : 90.24¢)
Consistency limit 7
Distinct consistency limit 7

99694 equal divisions of the octave (abbreviated 99694edo or 99694ed2), also called 99694-tone equal temperament (99694tet) or 99694 equal temperament (99694et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 99694 equal parts of about 0.012 ¢ each. Each step represents a frequency ratio of 21/99694, or the 99694th root of 2.

Harmonics

Approximation of odd harmonics in 99694edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) -0.00303 -0.00360 -0.00532 +0.00598 +0.00511 +0.00437 +0.00540 +0.00577 +0.00138 +0.00369 +0.00017
Relative (%) -25.2 -29.9 -44.2 +49.7 +42.4 +36.3 +44.9 +48.0 +11.4 +30.7 +1.4
Steps
(reduced)
158011
(58317)
231482
(32094)
279876
(80488)
316023
(16941)
344885
(45803)
368912
(69830)
389494
(90412)
407496
(8720)
423493
(24717)
437888
(39112)
450972
(52196)


Icon-Todo.png Todo: explain its xenharmonic value