3079edo

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← 3078edo 3079edo 3080edo →
Prime factorization 3079 (prime)
Step size 0.389737 ¢ 
Fifth 1801\3079 (701.916 ¢)
Semitones (A1:m2) 291:232 (113.4 ¢ : 90.42 ¢)
Consistency limit 9
Distinct consistency limit 9

Template:EDO intro

Theory

3079edo is consistent to the 9-odd-limit. The equal temperament tempers out 43046721/43025920, 1220703125/1219784832 and [51 -13 -1 -10 in the 7-limit. It supports acrosextilififths.

Prime harmonics

Approximation of prime harmonics in 3079edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 -0.039 -0.084 +0.060 +0.160 +0.135 -0.116 -0.144 -0.018 +0.108 +0.012
Relative (%) +0.0 -10.0 -21.7 +15.4 +41.0 +34.6 -29.8 -36.9 -4.7 +27.7 +3.0
Steps
(reduced)
3079
(0)
4880
(1801)
7149
(991)
8644
(2486)
10652
(1415)
11394
(2157)
12585
(269)
13079
(763)
13928
(1612)
14958
(2642)
15254
(2938)

Subsets and supersets

3079edo is the 440th prime edo.

Regular temperament properties

Template:Comma basis begin |- | 2.3 | [-4880 3079 | [3079 4880]] | 0.0122 | 0.0122 | 3.13 |- | 2.3.5 | [-69 45 -1, [-50 -71 70 | [3079 4880 7149]] | 0.0203 | 0.0151 | 3.87 |- | 2.3.5.7 | 43046721/43025920, 1220703125/1219784832, [51 -13 -1 -10 | [3079 4880 7149 8644]] | 0.0099 | 0.0223 | 5.72 Template:Comma basis end

Rank-2 temperaments

Template:Rank-2 begin |- | 1 | 1278\3079 | 498.084 | 4/3 | Counterschismic Template:Rank-2 end Template:Orf

Music

Francium
  • "mfdreamshoppedfashionforyou" from albumwithoutspaces (2024) – Spotify | Bandcamp | YouTube – acrosextilififths[13] in 3079edo tuning