642edo

← 641edo

642edo

643edo →

Prime factorization	2 × 3 × 107
Step size	1.86916 ¢
Fifth	376\642 (702.804 ¢) (→ 188\321)
Semitones (A1:m2)	64:46 (119.6 ¢ : 85.98 ¢)
Dual sharp fifth	376\642 (702.804 ¢) (→ 188\321)
Dual flat fifth	375\642 (700.935 ¢) (→ 125\214)
Dual major 2nd	109\642 (203.738 ¢)
Consistency limit	5
Distinct consistency limit	5

642 equal divisions of the octave (abbreviated 642edo or 642ed2), also called 642-tone equal temperament (642tet) or 642 equal temperament (642et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 642 equal parts of about 1.87 ¢ each. Each step represents a frequency ratio of 2^1/642, or the 642nd root of 2.

Harmonics

Approximation of odd harmonics in 642edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	+0.849	+0.602	-0.602	-0.172	+0.084	+0.594	-0.418	-0.283	-0.317	+0.247	-0.237
	Relative (%)	+45.4	+32.2	-32.2	-9.2	+4.5	+31.8	-22.4	-15.1	-16.9	+13.2	-12.7
Steps (reduced)		1018 (376)	1491 (207)	1802 (518)	2035 (109)	2221 (295)	2376 (450)	2508 (582)	2624 (56)	2727 (159)	2820 (252)	2904 (336)

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