4419edo
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Prime factorization
32 × 491
Step size
0.271555¢
Fifth
2585\4419 (701.969¢)
Semitones (A1:m2)
419:332 (113.8¢ : 90.16¢)
Consistency limit
9
Distinct consistency limit
9
| ← 4418edo | 4419edo | 4420edo → |
4419 equal divisions of the octave (abbreviated 4419edo or 4419ed2), also called 4419-tone equal temperament (4419tet) or 4419 equal temperament (4419et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 4419 equal parts of about 0.272 ¢ each. Each step represents a frequency ratio of 21/4419, or the 4419th root of 2.
Theory
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | +0.014 | +0.109 | +0.081 | -0.062 | -0.066 | -0.135 | +0.111 | +0.103 | -0.114 | +0.110 |
| Relative (%) | +0.0 | +5.1 | +40.0 | +29.9 | -22.8 | -24.3 | -49.8 | +40.8 | +38.0 | -41.8 | +40.7 | |
| Steps (reduced) |
4419 (0) |
7004 (2585) |
10261 (1423) |
12406 (3568) |
15287 (2030) |
16352 (3095) |
18062 (386) |
18772 (1096) |
19990 (2314) |
21467 (3791) |
21893 (4217) | |
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