115edo

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← 114edo 115edo 116edo →
Prime factorization 5 × 23
Step size 10.4348 ¢ 
Fifth 67\115 (699.13 ¢)
Semitones (A1:m2) 9:10 (93.91 ¢ : 104.3 ¢)
Consistency limit 7
Distinct consistency limit 7

Template:EDO intro

115edo tempers out 1594323/1562500 (unicorn comma) and 2109375/2097152 (semicomma) in the 5-limit, as well as 43046721/41943040 and 30958682112/30517578125 (trisedodge comma); 225/224, 1728/1715, and 9920232/9765625 in the 7-limit. 115edo supports the newspeak temperament, tempering out 441/440, 1375/1372, and 1944/1925 in the 11-limit. The wizardharry comma, 4000/3993 is also tempered out in 115edo.

Odd harmonics

Approximation of odd harmonics in 115edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) -2.82 -0.23 +1.61 +4.79 +1.73 +4.69 -3.05 -0.61 +5.10 -1.22 -2.19
Relative (%) -27.1 -2.2 +15.4 +45.9 +16.5 +44.9 -29.2 -5.8 +48.8 -11.7 -21.0
Steps
(reduced)
182
(67)
267
(37)
323
(93)
365
(20)
398
(53)
426
(81)
449
(104)
470
(10)
489
(29)
505
(45)
520
(60)