2444edo
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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
| ← 2443edo | 2444edo | 2445edo → |
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
| 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 | +21 | -18 | -30 | +15 | +13 | -44 | +24 | +7 | +18 | +41 | |
| 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 |