# 1063edo

 ← 1062edo 1063edo 1064edo →
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

1063 equal divisions of the octave (abbreviated 1063edo or 1063ed2), also called 1063-tone equal temperament (1063tet) or 1063 equal temperament (1063et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 1063 equal parts of about 1.13 ¢ each. Each step represents a frequency ratio of 21/1063, or the 1063rd root of 2.

## 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

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