252edo

← 251edo

252edo

253edo →

Prime factorization	22 × 32 × 7
Step size	4.7619 ¢
Fifth	147\252 (700 ¢) (→ 7\12)
Semitones (A1:m2)	21:21 (100 ¢ : 100 ¢)
Dual sharp fifth	148\252 (704.762 ¢) (→ 37\63)
Dual flat fifth	147\252 (700 ¢) (→ 7\12)
Dual major 2nd	43\252 (204.762 ¢)
Consistency limit	7
Distinct consistency limit	7

252 equal divisions of the octave (abbreviated 252edo or 252ed2), also called 252-tone equal temperament (252tet) or 252 equal temperament (252et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 252 equal parts of about 4.76 ¢ each. Each step represents a frequency ratio of 2^1/252, or the 252nd root of 2.

It is part of the optimal ET sequence for the heinz and gamelstearn temperaments. It supports the minicom temperament.

Odd harmonics

Approximation of odd harmonics in 252edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	-1.96	-0.60	-2.16	+0.85	+1.06	+2.33	+2.21	-0.19	-2.27	+0.65	+0.30
	Relative (%)	-41.1	-12.6	-45.3	+17.9	+22.3	+48.9	+46.4	-4.1	-47.8	+13.6	+6.2
Steps (reduced)		399 (147)	585 (81)	707 (203)	799 (43)	872 (116)	933 (177)	985 (229)	1030 (22)	1070 (62)	1107 (99)	1140 (132)

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