1260edo

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← 1259edo

1260edo

1261edo →

Prime factorization	22 × 32 × 5 × 7
Step size	0.952381 ¢
Fifth	737\1260 (701.905 ¢)
Semitones (A1:m2)	119:95 (113.3 ¢ : 90.48 ¢)
Consistency limit	5
Distinct consistency limit	5
Special properties	Highly composite

1260edo is the 16th highly composite edo, and the first one after 12edo which has a good (only 5% error) and also coprime perfect fifth, so that a circle of fifths goes through every step.

It tunes well the 2.3.7.11.17.29 subgroup. It tempers out the parakleisma in the 5-limit on the patent val, and in the 13-limit in the 1260cf val it provides an alternative extension to the oquatonic temperament.

One step of 1260edo bears the name triangular cent, although for unclear reasons. See Interval size measure #Octave-based fine measures

Prime harmonics

Approximation of prime harmonics in 1260edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	-0.050	+0.353	-0.254	+0.111	+0.425	-0.194	-0.370	+0.297	-0.053	-0.274
	Relative (%)	+0.0	-5.3	+37.1	-26.7	+11.6	+44.6	-20.3	-38.9	+31.2	-5.6	-28.7
Steps (reduced)		1260 (0)	1997 (737)	2926 (406)	3537 (1017)	4359 (579)	4663 (883)	5150 (110)	5352 (312)	5700 (660)	6121 (1081)	6242 (1202)