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

260edo is enfactored in the 7-limit, with the same tuning as 65edo in the 5-limit, and the same as 130edo in the 7-limit. The mappings for harmonics 11 and 17 differ, but 260edo's are hardly an improvement over 130edo's. 29 is the first harmonic that is offered as a sizeable improvement over 130edo, tempering out 841/840, 16820/16807, and 47096/46875.

Prime 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)

Scales

• Kartvelian Tetradecatonic: 18 18 18 18 18 18 19 19 19 19 19 19 19 19