302edo

← 301edo

302edo

303edo →

Prime factorization	2 × 151
Step size	3.97351 ¢
Fifth	177\302 (703.311 ¢)
Semitones (A1:m2)	31:21 (123.2 ¢ : 83.44 ¢)
Dual sharp fifth	177\302 (703.311 ¢)
Dual flat fifth	176\302 (699.338 ¢) (→ 88\151)
Dual major 2nd	51\302 (202.649 ¢)
Consistency limit	3
Distinct consistency limit	3

302 equal divisions of the octave (abbreviated 302edo or 302ed2), also called 302-tone equal temperament (302tet) or 302 equal temperament (302et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 302 equal parts of about 3.97 ¢ each. Each step represents a frequency ratio of 2^1/302, or the 302nd root of 2.

It is part of the optimal ET sequence for the quinticosiennic, semisept (23-lim), sensawer and shibboleth temperaments.

Theory

Approximation of odd harmonics in 302edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	+1.36	-0.88	+0.71	-1.26	+1.00	+1.86	+0.47	-1.64	+0.50	-1.91	-0.46
	Relative (%)	+34.1	-22.2	+17.9	-31.7	+25.2	+46.7	+11.9	-41.4	+12.6	-48.0	-11.6
Steps (reduced)		479 (177)	701 (97)	848 (244)	957 (51)	1045 (139)	1118 (212)	1180 (274)	1234 (26)	1283 (75)	1326 (118)	1366 (158)

Subsets and supersets

Since 302 factors into 2 × 151, 302edo has 2edo and 151edo as its subsets. 906edo, which triples it, gives a good correction to the harmonic 3.

Interval table

See Table of 302edo intervals.

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