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

Template:Comma basis begin |- | 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 Template:Comma basis end

Rank-2 temperaments

Template:Rank-2 begin |- | 1 | 229\1063 | 258.514 | [-32 13 5⟩ | Lafa |- | 1 | 280\1063 | 316.087 | 6/5 | Counterhanson Template:Rank-2 end Template:Orf

Music

Francium

• "Interlude" from hope in dark times (2024) – Spotify | Bandcamp | YouTube
• 1063 (2024) – Spotify | Bandcamp | YouTube – 5-piece EP in 1063edo