281edo

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281edo

282edo →

Prime factorization	281 (prime)
Step size	4.27046 ¢
Fifth	164\281 (700.356 ¢)
Semitones (A1:m2)	24:23 (102.5 ¢ : 98.22 ¢)
Dual sharp fifth	165\281 (704.626 ¢)
Dual flat fifth	164\281 (700.356 ¢)
Dual major 2nd	48\281 (204.982 ¢)
Consistency limit	5
Distinct consistency limit	5

281edo is the equal division of the octave into 281 parts of 4.2705 cents each. It tempers out 225/224 in the 7-limit, and 243/242 and 4000/3993 in the 11-limit limit, so that it supports marvo temperament and provides the optimal patent val; it also gives the optimal patent val for the rank three spectacle temperament.

281edo is the 60th prime EDO.

Approximation of odd harmonics in 281edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	-1.60	-1.97	+0.57	+1.07	-0.43	+0.75	+0.70	+1.81	+1.42	-1.03	-0.52
	Relative (%)	-37.4	-46.2	+13.3	+25.1	-10.0	+17.6	+16.4	+42.3	+33.2	-24.1	-12.1
Steps (reduced)		445 (164)	652 (90)	789 (227)	891 (48)	972 (129)	1040 (197)	1098 (255)	1149 (25)	1194 (70)	1234 (110)	1271 (147)