276edo
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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
| ← 275edo | 276edo | 277edo → |
276 equal divisions of the octave (276edo), or 276-tone equal temperament (276tet), 276 equal temperament (276et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 276 equal parts of about 4.35 ¢ each.
Theory
| 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) | |
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.
Patent val
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.
Music
- Sevish, Evanescence - What The Zoon (Mashup) - while not a 276edo song per se, it is a mashup of 12edo and 23edo songs.