278edo

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278edo

279edo →

Prime factorization	2 × 139
Step size	4.31655 ¢
Fifth	163\278 (703.597 ¢)
Semitones (A1:m2)	29:19 (125.2 ¢ : 82.01 ¢)
Dual sharp fifth	163\278 (703.597 ¢)
Dual flat fifth	162\278 (699.281 ¢) (→ 81\139)
Dual major 2nd	47\278 (202.878 ¢)
Consistency limit	3
Distinct consistency limit	3

278 equal divisions of the octave (abbreviated 278edo or 278ed2), also called 278-tone equal temperament (278tet) or 278 equal temperament (278et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 278 equal parts of about 4.32 ¢ each. Each step represents a frequency ratio of 2^1/278, or the 278th root of 2.

It is part of the optimal ET sequence for the quintaleap temperament. It also supports parapyth.

Odd harmonics

Approximation of odd harmonics in 278edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	+1.64	-2.14	-1.92	-1.03	+1.20	+1.20	-0.50	-1.36	+0.33	-0.28	+1.94
	Relative (%)	+38.0	-49.6	-44.5	-23.9	+27.8	+27.8	-11.6	-31.5	+7.6	-6.4	+45.0
Steps (reduced)		441 (163)	645 (89)	780 (224)	881 (47)	962 (128)	1029 (195)	1086 (252)	1136 (24)	1181 (69)	1221 (109)	1258 (146)

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