387edo

From Xenharmonic Wiki
Jump to navigation Jump to search
← 386edo 387edo 388edo →
Prime factorization 32 × 43
Step size 3.10078¢ 
Fifth 226\387 (700.775¢)
Semitones (A1:m2) 34:31 (105.4¢ : 96.12¢)
Dual sharp fifth 227\387 (703.876¢)
Dual flat fifth 226\387 (700.775¢)
Dual major 2nd 66\387 (204.651¢) (→22\129)
Consistency limit 3
Distinct consistency limit 3

387 equal divisions of the octave (abbreviated 387edo or 387ed2), also called 387-tone equal temperament (387tet) or 387 equal temperament (387et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 387 equal parts of about 3.1 ¢ each. Each step represents a frequency ratio of 21/387, or the 387th root of 2.

Harmonics

Approximation of odd harmonics in 387edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) -1.18 +1.28 -1.38 +0.74 +0.62 -0.22 +0.10 +0.47 +0.16 +0.54 +1.18
Relative (%) -38.0 +41.4 -44.6 +23.9 +20.0 -7.0 +3.3 +15.2 +5.2 +17.3 +38.2
Steps
(reduced)
613
(226)
899
(125)
1086
(312)
1227
(66)
1339
(178)
1432
(271)
1512
(351)
1582
(34)
1644
(96)
1700
(152)
1751
(203)


Icon-Stub.png This page is a stub. You can help the Xenharmonic Wiki by expanding it.