1460edo

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1460edo

1461edo →

Prime factorization	22 × 5 × 73
Step size	0.821918 ¢
Fifth	854\1460 (701.918 ¢) (→ 427\730)
Semitones (A1:m2)	138:110 (113.4 ¢ : 90.41 ¢)
Consistency limit	21
Distinct consistency limit	21

1460 equal divisions of the octave (abbreviated 1460edo or 1460ed2), also called 1460-tone equal temperament (1460tet) or 1460 equal temperament (1460et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 1460 equal parts of about 0.822 ¢ each. Each step represents a frequency ratio of 2^1/1460, or the 1460th root of 2.

Prime harmonics

Approximation of prime harmonics in 1460edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	-0.037	-0.012	+0.215	+0.189	+0.294	+0.250	+0.021	-0.329	+0.286	-0.104
	Relative (%)	+0.0	-4.5	-1.5	+26.2	+23.0	+35.8	+30.4	+2.6	-40.0	+34.8	-12.7
Steps (reduced)		1460 (0)	2314 (854)	3390 (470)	4099 (1179)	5051 (671)	5403 (1023)	5968 (128)	6202 (362)	6604 (764)	7093 (1253)	7233 (1393)

Approximation of prime harmonics in 1460edo (continued)

Harmonic		37	41	43	47	53	59	61	67	71	73	79
Error	Absolute (¢)	+0.163	-0.021	-0.285	+0.247	+0.194	+0.280	+0.101	-0.403	+0.303	-0.118	+0.395
	Relative (%)	+19.8	-2.6	-34.7	+30.0	+23.6	+34.1	+12.3	-49.0	+36.9	-14.4	+48.0
Steps (reduced)		7606 (306)	7822 (522)	7922 (622)	8110 (810)	8363 (1063)	8589 (1289)	8659 (1359)	8856 (96)	8979 (219)	9037 (277)	9204 (444)

Subsets and supersets

Since 1460 factors into 2² × 5 × 73, 1460edo has subset edos 2, 4, 5, 10, 20, 73, 146, 292, 365, 730, and 1460.