276edo

← 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

Theory

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)

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.