803edo: Difference between revisions
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{{EDO intro|803}} | {{EDO intro|803}} | ||
803edo | 803edo is only [[consistent]] to the [[5-odd-limit]], and if [[harmonic]] [[5/1|5]] is used, the equal temperament tends very sharp. It is most notable for [[tempering out]] the [[escapade comma]], providing 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, | The 803bd [[val]] is a tuning for [[swetneus]] and the 803c val tempers out the maja comma in the 5-limit, tuning the [[maja]] temperament. In the higher limits, it is a strong 2.11.19.21 system. | ||
=== Odd harmonics === | === Odd harmonics === | ||
{{ | {{Harmonics in equal|803}} | ||
=== Subsets and supersets === | |||
Since 803 factors into {{factorization|803}}, 803edo contains [[11edo]] and [[73edo]] as subsets. | |||
[[Category:Escapade]] | [[Category:Escapade]] | ||
Revision as of 12:01, 2 November 2023
| ← 802edo | 803edo | 804edo → |
803edo is only consistent to the 5-odd-limit, and if harmonic 5 is used, the equal temperament tends very sharp. It is most notable for tempering out the escapade comma, providing the optimal patent val for the escapade temperament in the 5-limit.
The 803bd val is a tuning for swetneus and the 803c val tempers out the maja comma in the 5-limit, 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 (%) | +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) | |
Subsets and supersets
Since 803 factors into 11 × 73, 803edo contains 11edo and 73edo as subsets.