242edo

← 241edo

242edo

243edo →

Prime factorization	2 × 112
Step size	4.95868 ¢
Fifth	142\242 (704.132 ¢) (→ 71\121)
Semitones (A1:m2)	26:16 (128.9 ¢ : 79.34 ¢)
Dual sharp fifth	142\242 (704.132 ¢) (→ 71\121)
Dual flat fifth	141\242 (699.174 ¢)
Dual major 2nd	41\242 (203.306 ¢)
Consistency limit	5
Distinct consistency limit	5

242 equal divisions of the octave (abbreviated 242edo or 242ed2), also called 242-tone equal temperament (242tet) or 242 equal temperament (242et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 242 equal parts of about 4.96 ¢ each. Each step represents a frequency ratio of 2^1/242, or the 242nd root of 2.

It is part of the optimal ET sequence for the apollo and varda temperaments.

Odd harmonics

Approximation of odd harmonics in 242edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	+2.18	+0.46	-1.88	-0.60	-0.90	+2.45	-2.32	-0.82	+0.01	+0.29	+1.48
	Relative (%)	+43.9	+9.3	-38.0	-12.2	-18.2	+49.4	-46.8	-16.6	+0.2	+5.9	+29.8
Steps (reduced)		384 (142)	562 (78)	679 (195)	767 (41)	837 (111)	896 (170)	945 (219)	989 (21)	1028 (60)	1063 (95)	1095 (127)

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