961edo

← 960edo

961edo

962edo →

Prime factorization	312
Step size	1.2487 ¢
Fifth	562\961 (701.769 ¢)
Semitones (A1:m2)	90:73 (112.4 ¢ : 91.16 ¢)
Consistency limit	5
Distinct consistency limit	5

Theory

961et tempers out 32805/32768 in the 5-limit; 14348907/14336000, 4375/4374 and 65625/65536 in the 7-limit; 1019215872/1019046875, 2097152/2096325, 26214400/26198073, 5767168/5764801 and 3294225/3294172 in the 11-limit.

Odd harmonics

Approximation of odd harmonics in 961edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	-0.186	-0.466	+0.165	-0.372	+0.607	-0.153	+0.597	-0.065	-0.323	-0.021	-0.179
	Relative (%)	-14.9	-37.3	+13.2	-29.8	+48.6	-12.3	+47.8	-5.2	-25.8	-1.7	-14.3
Steps (reduced)		1523 (562)	2231 (309)	2698 (776)	3046 (163)	3325 (442)	3556 (673)	3755 (872)	3928 (84)	4082 (238)	4221 (377)	4347 (503)

Subsets and supersets

961 factors into 31² with 31edo as subset edo.

Regular temperament properties

Subgroup	Comma List	Mapping	Optimal 8ve Stretch (¢)	Tuning Error
				Absolute (¢)	Relative (%)
2.3	[-1523 961⟩	⟨961 1523]	0.0587	0.0587	4.70
2.3.5	32805/32768, [-22 -137 103⟩	⟨961 1523 2231]	0.1060	0.0823	6.59
2.3.5.7	4375/4374, 32805/32768, 65625/65536	⟨961 1523 2231 2698]	0.0648	0.1008	8.01

Rank-2 temperaments

Table of rank-2 temperaments by generator

Periods per 8ve	Generator (reduced)	Cents (reduced)	Associated ratio	Temperaments
1	399\961	498.231	4/3	Helmholtz / Pontiac

Scales

• Haumea5
• Haumea9
• Haumea14
• Haumea19