Pi-edo: Difference between revisions
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Mark as novelty. Might as well be specified as 1ed2^(1/pi) or APS(1/pi oct) |
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(No difference)
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Revision as of 08:42, 28 February 2024
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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. |
| ← 0ed697/559 | 1ed697/559 | 2ed697/559 → |
π-edo, 1ed21/π, or APS(1/π oct) is a nonoctave equal-step tuning in which π steps occur per octave. It does not approximate any simple harmonics well, except for the 3rd harmonic. This lends the tuning to use with custom inharmonic timbres. It has the potential to facilitate music far removed from any conventional harmonic or melodic traditions.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -54.1 | +7.9 | -108.2 | -112.5 | -46.2 | +68.9 | -162.3 | +15.8 | -166.6 | +50.4 | -100.3 |
| Relative (%) | -14.2 | +2.1 | -28.3 | -29.5 | -12.1 | +18.0 | -42.5 | +4.1 | -43.6 | +13.2 | -26.2 | |
| Step | 3 | 5 | 6 | 7 | 8 | 9 | 9 | 10 | 10 | 11 | 11 | |