803edo
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Prime factorization
11 × 73
Step size
1.4944¢
Fifth
470\803 (702.366¢)
Semitones (A1:m2)
78:59 (116.6¢ : 88.17¢)
Consistency limit
5
Distinct consistency limit
5
| ← 802edo | 803edo | 804edo → |
803 equal divisions of the octave (803edo), or 803-tone equal temperament (803tet), 803 equal temperament (803et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 803 equal parts of about 1.49 ¢ each.
803edo provides the optimal patent val for the escapade temperament in the 5-limit.
803bd val is a tuning for swetneus and 803c val tempers out the maja comma in the 5-limit, and tuning the maja temperament. In the higher limits, it is a strong 2.11.19.21 system.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | +0.411 | +0.735 | -0.457 | -0.672 | +0.114 | -0.677 | -0.348 | -0.348 | -0.128 | -0.046 | -0.628 |
| relative (%) | +28 | +49 | -31 | -45 | +8 | -45 | -23 | -23 | -9 | -3 | -42 | |
| Steps (reduced) |
1273 (470) |
1865 (259) |
2254 (648) |
2545 (136) |
2778 (369) |
2971 (562) |
3137 (728) |
3282 (70) |
3411 (199) |
3527 (315) |
3632 (420) | |