254edo

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254edo

255edo →

Prime factorization	2 × 127
Step size	4.72441 ¢
Fifth	149\254 (703.937 ¢)
Semitones (A1:m2)	27:17 (127.6 ¢ : 80.31 ¢)
Dual sharp fifth	149\254 (703.937 ¢)
Dual flat fifth	148\254 (699.213 ¢) (→ 74\127)
Dual major 2nd	43\254 (203.15 ¢)
Consistency limit	7
Distinct consistency limit	7

254 equal divisions of the octave (abbreviated 254edo or 254ed2), also called 254-tone equal temperament (254tet) or 254 equal temperament (254et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 254 equal parts of about 4.72 ¢ each. Each step represents a frequency ratio of 2^1/254, or the 254th root of 2.

It is part of the optimal ET sequence for the denjoy, georgian, and trienparapyth temperaments.

Odd harmonics

Approximation of odd harmonics in 254edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	+1.98	+1.09	-0.32	-0.76	+1.44	+0.42	-1.65	-1.02	+0.12	+1.66	+0.07
	Relative (%)	+42.0	+23.0	-6.8	-16.1	+30.4	+8.8	-35.0	-21.6	+2.6	+35.1	+1.5
Steps (reduced)		403 (149)	590 (82)	713 (205)	805 (43)	879 (117)	940 (178)	992 (230)	1038 (22)	1079 (63)	1116 (100)	1149 (133)

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