803edo

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← 802edo803edo804edo →
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

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

Approximation of odd harmonics in 803edo
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)