237edo

← 236edo

237edo

238edo →

Prime factorization	3 × 79
Step size	5.06329 ¢
Fifth	139\237 (703.797 ¢)
Semitones (A1:m2)	25:16 (126.6 ¢ : 81.01 ¢)
Dual sharp fifth	139\237 (703.797 ¢)
Dual flat fifth	138\237 (698.734 ¢) (→ 46\79)
Dual major 2nd	40\237 (202.532 ¢)
Consistency limit	3
Distinct consistency limit	3

237 equal divisions of the octave (abbreviated 237edo or 237ed2), also called 237-tone equal temperament (237tet) or 237 equal temperament (237et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 237 equal parts of about 5.06 ¢ each. Each step represents a frequency ratio of 2^1/237, or the 237th root of 2.

It is part of the optimal ET sequence for the cypress, gariberttet, necromanteion, no-3s valinorsmic, and undecimal sensamagic temperaments.

Odd harmonics

Approximation of odd harmonics in 237edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	+1.84	-1.50	-1.74	-1.38	+0.58	-0.02	+0.34	+1.37	+1.22	+0.11	-0.43
	Relative (%)	+36.4	-29.7	-34.3	-27.2	+11.5	-0.4	+6.7	+27.1	+24.1	+2.1	-8.4
Steps (reduced)		376 (139)	550 (76)	665 (191)	751 (40)	820 (109)	877 (166)	926 (215)	969 (21)	1007 (59)	1041 (93)	1072 (124)

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