803edo

From Xenharmonic Wiki
Jump to navigation Jump to search
This page presents a novelty topic.

It may contain ideas which are less likely to find practical applications in music, or numbers or structures that are arbitrary or exceedingly small, large, or complex.

Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks.

This page is a stub. You can help the Xenharmonic Wiki by expanding it.
← 802edo 803edo 804edo →
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

Template:EDO intro

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 (%) +27.5 +49.2 -30.6 -45.0 +7.6 -45.3 -23.3 -23.3 -8.6 -3.1 -42.0
Steps
(reduced)
1273
(470)
1865
(259)
2254
(648)
2545
(136)
2778
(369)
2971
(562)
3137
(728)
3282
(70)
3411
(199)
3527
(315)
3632
(420)