2444edo

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← 2443edo2444edo2445edo →
Prime factorization 22 × 13 × 47
Step size 0.490998¢ 
Fifth 1430\2444 (702.128¢) (→55\94)
Semitones (A1:m2) 234:182 (114.9¢ : 89.36¢)
Dual sharp fifth 1430\2444 (702.128¢) (→55\94)
Dual flat fifth 1429\2444 (701.637¢)
Dual major 2nd 415\2444 (203.764¢)
Consistency limit 5
Distinct consistency limit 5

2444 equal divisions of the octave (abbreviated 2444edo or 2444ed2), also called 2444-tone equal temperament (2444tet) or 2444 equal temperament (2444et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 2444 equal parts of about 0.491 ¢ each. Each step represents a frequency ratio of 21/2444, or the 2444th root of 2.

Theory

2444edo is an excellent 2.5.7.11.13.19 subgroup tuning.

In the 13-limit, 2444edo tempers out 6656/6655 and in light of having 52 as a divisor, it is a tuning for the french deck temperament.

Harmonics

Approximation of odd harmonics in 2444edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) +0.173 +0.102 -0.086 -0.146 +0.073 +0.062 -0.216 +0.118 +0.032 +0.087 +0.204
Relative (%) +35.2 +20.8 -17.5 -29.7 +14.9 +12.5 -44.1 +24.1 +6.5 +17.6 +41.5
Steps
(reduced)
3874
(1430)
5675
(787)
6861
(1973)
7747
(415)
8455
(1123)
9044
(1712)
9548
(2216)
9990
(214)
10382
(606)
10735
(959)
11056
(1280)

Regular temperament properties

Rank-2 temperaments

Periods
per 8ve
Generator
(Reduced)
Cents
(Reduced)
Associated
Ratio
Temperaments
52 804\2444
(5\2444)
394.73662
(2.455)
134560000/107132311
(?)
French deck