384edo
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Prime factorization
27 × 3
Step size
3.125¢
Fifth
225\384 (703.125¢) (→75\128)
Semitones (A1:m2)
39:27 (121.9¢ : 84.38¢)
Dual sharp fifth
225\384 (703.125¢) (→75\128)
Dual flat fifth
224\384 (700¢) (→7\12)
Dual major 2nd
65\384 (203.125¢)
Consistency limit
7
Distinct consistency limit
7
← 383edo | 384edo | 385edo → |
384 equal divisions of the octave (384edo), or 384-tone equal temperament (384tet), 384 equal temperament (384et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 384 equal parts of about 3.13 ¢ each.
Theory
384edo is consistent in the 7-limit, tempering out the misty comma [26 -12 -3⟩, and the 5-limit tritriple comma [31 20 -27⟩ in the 5-limit, and 3136/3125, 5120/5103, 250047/250000, and the mistisma 458752/455625 in the 7-limit.
Relation to powers of two
Its adjacent step is known as Pentamu (fifth MIDI-resolution unit, 5mu, 25 = 32 equal divisions of the 12edo semitone).
In addition, in light of 384 being a multiple of 32, 384bc val supports windrose temperament in the 7-limit.
Prime harmonics
Harmonic | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | 37 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|
Error | absolute (¢) | +1.170 | +1.186 | -0.076 | -1.318 | +0.097 | +1.295 | -0.638 | -0.149 | -1.452 | -1.286 | -1.344 |
relative (%) | +37 | +38 | -2 | -42 | +3 | +41 | -20 | -5 | -46 | -41 | -43 | |
Steps (reduced) |
609 (225) |
892 (124) |
1078 (310) |
1328 (176) |
1421 (269) |
1570 (34) |
1631 (95) |
1737 (201) |
1865 (329) |
1902 (366) |
2000 (80) |
See also
- Equal multiplications of MIDI-resolution units