276edo

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← 275edo276edo277edo →
Prime factorization 22 × 3 × 23
Step size 4.34783¢
Fifth 161\276 (700¢) (→7\12)
Semitones (A1:m2) 23:23 (100¢ : 100¢)
Dual sharp fifth 162\276 (704.348¢) (→27\46)
Dual flat fifth 161\276 (700¢) (→7\12)
Dual major 2nd 47\276 (204.348¢)
Consistency limit 3
Distinct consistency limit 3

276 equal divisions of the octave (abbreviated 276edo), or 276-tone equal temperament (276tet), 276 equal temperament (276et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 276 equal parts of about 4.35 ¢ each. Each step of 276edo represents a frequency ratio of 21/276, or the 276th root of 2.

Theory

276edo's fifth is quite bad, but it corresponds to 12edo's fifth, which means 276edo tempers out the Pythagorean comma. It's sharp val fifth comes from 46edo. The patent val of 276edo supports compton temperament, owing to the fact that it is a 12edo fifth. In the 7-limit, 276edo supports grendel.

276b val in the 5-limit supports hanson. In the 7-limit, it supports quadritikleismic.

Odd harmonics

Approximation of odd harmonics in 276edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error absolute (¢) -1.96 +0.64 +0.74 +0.44 +0.86 -1.40 -1.31 -0.61 -1.86 -1.22 +2.16
relative (%) -45 +15 +17 +10 +20 -32 -30 -14 -43 -28 +50
Steps
(reduced)
437
(161)
641
(89)
775
(223)
875
(47)
955
(127)
1021
(193)
1078
(250)
1128
(24)
1172
(68)
1212
(108)
1249
(145)

Subsets and supersets

276edo has subset edos 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138.

Intervals

see Table of 276edo intervals

Music