399edo

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← 398edo 399edo 400edo →
Prime factorization 3 × 7 × 19
Step size 3.00752¢ 
Fifth 233\399 (700.752¢)
Semitones (A1:m2) 35:32 (105.3¢ : 96.24¢)
Dual sharp fifth 234\399 (703.759¢) (→78\133)
Dual flat fifth 233\399 (700.752¢)
Dual major 2nd 68\399 (204.511¢)
Consistency limit 7
Distinct consistency limit 7

399 equal divisions of the octave (abbreviated 399edo or 399ed2), also called 399-tone equal temperament (399tet) or 399 equal temperament (399et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 399 equal parts of about 3.01 ¢ each. Each step represents a frequency ratio of 21/399, or the 399th root of 2.

Harmonics

Approximation of odd harmonics in 399edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) -1.20 -1.35 -0.40 +0.60 -0.94 -1.43 +0.45 +0.31 +0.23 +1.40 +0.30
Relative (%) -40.0 -44.9 -13.5 +20.0 -31.3 -47.5 +15.1 +10.2 +7.7 +46.5 +9.9
Steps
(reduced)
632
(233)
926
(128)
1120
(322)
1265
(68)
1380
(183)
1476
(279)
1559
(362)
1631
(35)
1695
(99)
1753
(157)
1805
(209)


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