269edo

269edo is the equal division of the octave into 269 parts of 4.4610 cents each. The patent val tempers out 6144/6125 in the 7-limit, 540/539 and 5632/5625 in the 11-limit and 364/363 and 676/675 in the 13-limit. The 269c val tempers out 225/224 and 4375/4374 in the 7-limit, and 269ce 385/384 in the 11-limit, so that it supports and provides an excellent tuning for catakleismic and marvel temperaments.

← 268edo

269edo

270edo →

Prime factorization	269 (prime)
Step size	4.46097 ¢
Fifth	157\269 (700.372 ¢)
Semitones (A1:m2)	23:22 (102.6 ¢ : 98.14 ¢)
Dual sharp fifth	158\269 (704.833 ¢)
Dual flat fifth	157\269 (700.372 ¢)
Dual major 2nd	46\269 (205.204 ¢)
Consistency limit	3
Distinct consistency limit	3

269edo is the 57th prime EDO.

Approximation of odd harmonics in 269edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	-1.58	+1.79	-0.80	+1.29	+1.84	-1.87	+0.21	+2.11	+1.37	+2.08	+0.72
	Relative (%)	-35.5	+40.1	-17.8	+29.0	+41.3	-41.8	+4.6	+47.2	+30.7	+46.7	+16.2
Steps (reduced)		426 (157)	625 (87)	755 (217)	853 (46)	931 (124)	995 (188)	1051 (244)	1100 (24)	1143 (67)	1182 (106)	1217 (141)