1063edo

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1063edo

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Prime factorization	1063 (prime)
Step size	1.12888 ¢
Fifth	622\1063 (702.164 ¢)
Semitones (A1:m2)	102:79 (115.1 ¢ : 89.18 ¢)
Consistency limit	7
Distinct consistency limit	7

Theory

1063et tempers out 2401/2400 in the 7-limit; 95703125/95664294, 26214400/26198073, 78675968/78594219, 1953125/1951488, 1879453125/1879048192, 3294225/3294172, 43923/43904, 102487/102400 and 781258401/781250000 in the 11-limit.

Prime harmonics

Approximation of prime harmonics in 1063edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	+0.209	-0.237	-0.246	-0.424	+0.488	+0.030	+0.511	+0.512	-0.038	-0.351
	Relative (%)	+0.0	+18.5	-21.0	-21.8	-37.6	+43.3	+2.7	+45.3	+45.4	-3.4	-31.1
Steps (reduced)		1063 (0)	1685 (622)	2468 (342)	2984 (858)	3677 (488)	3934 (745)	4345 (93)	4516 (264)	4809 (557)	5164 (912)	5266 (1014)

Subsets and supersets

1063edo is the 179th prime EDO.

Regular temperament properties

Subgroup	Comma List	Mapping	Optimal 8ve Stretch (¢)	Tuning Error
				Absolute (¢)	Relative (%)
2.3	[1685 -1063⟩	[⟨1063 1685]]	-0.0658	0.0658	5.83
2.3.5	[-20 -24 25⟩, [77 -31 -12⟩	[⟨1063 1685 2468]]	-0.0099	0.0956	8.47
2.3.5.7	2401/2400, 3500000000/3486784401, 3367254360064/3363025078125	[⟨1063 1685 2468 2984]]	+0.0144	0.0930	8.24
2.3.5.7.11	2401/2400, 19712/19683, 43923/43904, 1953125/1951488	[⟨1063 1685 2468 2984 3677]]	+0.0361	0.0937	8.30

Rank-2 temperaments

Table of rank-2 temperaments by generator

Periods per 8ve	Generator*	Cents*	Associated Ratio*	Temperaments
1	229\1063	258.514	[-32 13 5⟩	Lafa
1	280\1063	316.087	6/5	Counterhanson

* octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if it is distinct

Music

Francium

• "interlude" from hope in dark times (2024) – Spotify | Bandcamp | YouTube