260edo

← 259edo

260edo

261edo →

Prime factorization	22 × 5 × 13
Step size	4.61538 ¢
Fifth	152\260 (701.538 ¢) (→ 38\65)
Semitones (A1:m2)	24:20 (110.8 ¢ : 92.31 ¢)
Consistency limit	9
Distinct consistency limit	9

Theory

In 5-limit 260edo has the same mapping as 65edo, and in 7-limit the same as 130edo.

260edo offers a sizeable improvement in 29-limit over 130edo, tempering out 841/840, 16820/16807, and 47096/46875.

Harmonics

Approximation of prime harmonics in 260edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.00	-0.42	+1.38	+0.40	-2.09	-0.53	+1.20	-2.13	-0.58	-0.35	-0.42
	Relative (%)	+0.0	-9.0	+29.9	+8.8	-45.2	-11.4	+26.0	-46.1	-12.6	-7.5	-9.1
Steps (reduced)		260 (0)	412 (152)	604 (84)	730 (210)	899 (119)	962 (182)	1063 (23)	1104 (64)	1176 (136)	1263 (223)	1288 (248)

Trivia

English Wikipedia has an article on:

260 (number)

260 is the number of days in the Mayan sacred calendar Tzolkin.