276edo: Difference between revisions

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276b isn't contorted
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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]].
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, it supports [[hanson]], but all the variants of it are contorted. In the 7-limit,  it supports [[quadritikleismic]].
276b val in the 5-limit supports [[hanson]]. In the 7-limit,  it supports [[quadritikleismic]].


=== Odd harmonics ===
=== Odd harmonics ===
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== Music ==
== Music ==
* [https://www.youtube.com/watch?v=Be6JAoqVCBY Sevish, Evanescence - What The Zoon (Mashup)] - while not a 276edo song per se, it is a mashup of 12edo and 23edo songs.
* [https://www.youtube.com/watch?v=Be6JAoqVCBY Sevish, Evanescence - What The Zoon (Mashup)] - while not a 276edo song per se, it is a mashup of 12edo and 23edo songs.

Revision as of 05:55, 13 July 2023

← 275edo 276edo 277edo →
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

Template:EDO intro

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 (%) -45.0 +14.8 +17.0 +10.1 +19.7 -32.1 -30.2 -14.0 -42.8 -28.0 +49.7
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.

Music