276edo: Difference between revisions

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== Theory ==
== Theory ==
{{Harmonics in equal|276}}
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]].


It is a multiple of 12 and 23.
276b val in the 5-limit, it supports [[hanson]], but all the variants of it are contorted. In the 7-limit,  it supports [[quadritikleismic]].


=== Patent val ===
=== Odd harmonics ===
The patent val of 276edo supports [[compton]] temperament, owing to the fact that it is a 12edo fifth.
{{Harmonics in equal|276}}
 
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]].
=== Subsets and supersets ===
276edo has subset edos 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138.


== 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 23:02, 12 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, it supports hanson, but all the variants of it are contorted. 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