18355edo: Difference between revisions
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{{Infobox ET}} | {{novelty}}{{stub}}{{Infobox ET}} | ||
{{EDO intro|18355}} It is an extremely strong 7-limit system, with a lower [[Tenney-Euclidean temperament measures #TE simple badness|relative error]] than any division until [[84814edo|84814]], and a lower [[Tenney-Euclidean temperament measures #TE simple badness|TE logflat badness]] than any besides [[171edo|171]] and [[3125edo|3125]]. | {{EDO intro|18355}} It is an extremely strong 7-limit system, with a lower [[Tenney-Euclidean temperament measures #TE simple badness|relative error]] than any division until [[84814edo|84814]], and a lower [[Tenney-Euclidean temperament measures #TE simple badness|TE logflat badness]] than any besides [[171edo|171]] and [[3125edo|3125]]. | ||
=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|18355|prec=4}} | {{Harmonics in equal|18355|prec=4}} | ||
Revision as of 04:11, 9 July 2023
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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. |
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Template:EDO intro It is an extremely strong 7-limit system, with a lower relative error than any division until 84814, and a lower TE logflat badness than any besides 171 and 3125.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.0000 | +0.0009 | +0.0006 | +0.0000 | +0.0087 | +0.0280 | -0.0249 | +0.0190 | +0.0013 | -0.0158 | -0.0179 |
| Relative (%) | +0.0 | +1.3 | +1.0 | +0.0 | +13.3 | +42.9 | -38.0 | +29.0 | +2.0 | -24.1 | -27.3 | |
| Steps (reduced) |
18355 (0) |
29092 (10737) |
42619 (5909) |
51529 (14819) |
63498 (8433) |
67922 (12857) |
75025 (1605) |
77971 (4551) |
83030 (9610) |
89168 (15748) |
90934 (17514) | |