499edo: Difference between revisions
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== Regular temperament properties == | == Regular temperament properties == | ||
{ | {{comma basis begin}} | ||
|- | |- | ||
| 2.3 | | 2.3 | ||
| Line 43: | Line 34: | ||
| 0.1345 | | 0.1345 | ||
| 5.59 | | 5.59 | ||
{{comma basis end}} | |||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{ | {{rank-2 begin}} | ||
|- | |- | ||
| 1 | | 1 | ||
| Line 77: | Line 62: | ||
| 2800/2187 | | 2800/2187 | ||
| [[Osiris]] | | [[Osiris]] | ||
{{rank-2 end}} | |||
{{orf}} | {{orf}} | ||
== Music == | == Music == | ||
; [[Francium]] | ; [[Francium]] | ||
* " | * "Still not desperate enough" from ''hope in dark times'' (2024) – [https://open.spotify.com/track/4BkTyDG9JO2vRKrtta3iwz Spotify] | [https://francium223.bandcamp.com/track/still-not-desperate-enough Bandcamp] | [https://www.youtube.com/watch?v=nTYClZbsH4k YouTube] | ||
[[Category:Listen]] | [[Category:Listen]] | ||
Revision as of 01:51, 16 November 2024
| ← 498edo | 499edo | 500edo → |
Theory
499et tempers out 33554432/33480783, 359661568/358722675 and 2401/2400 in the 7-limit; 100663296/100656875, 2097152/2096325, 536870912/535869675, 151263/151250, 104857600/104825259, 131072/130977, 200704/200475, 17537553/17500000, 19712/19683, 1479016/1476225, 3025/3024, 41503/41472, 532400/531441 and 67110351/67108864 in the 11-limit.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.00 | +0.25 | +0.86 | +0.31 | -0.62 | +1.16 | +0.86 | +0.68 | -0.62 | -0.32 | -0.35 |
| Relative (%) | +0.0 | +10.4 | +35.8 | +13.0 | -25.6 | +48.1 | +35.6 | +28.4 | -25.7 | -13.3 | -14.4 | |
| Steps (reduced) |
499 (0) |
791 (292) |
1159 (161) |
1401 (403) |
1726 (229) |
1847 (350) |
2040 (44) |
2120 (124) |
2257 (261) |
2424 (428) |
2472 (476) | |
Subsets and supersets
499edo is the 95th prime edo.
Regular temperament properties
Template:Comma basis begin |- | 2.3 | [791 -499⟩ | ⟨499 791] | -0.0787 | 0.0787 | 3.27 |- | 2.3.5 | [32 -7 -9⟩, [1 36 -25⟩ | ⟨499 791 1159] | -0.1760 | 0.1519 | 6.32 |- | 2.3.5.7 | 2401/2400, 1959552/1953125, 26873856/26796875 | ⟨499 791 1159 1401] | -0.1598 | 0.1345 | 5.59 Template:Comma basis end
Rank-2 temperaments
Template:Rank-2 begin |- | 1 | 23\499 | 55.311 | 16875/16384 | Escapade |- | 1 | 126\499 | 303.006 | 25/21 | Quinmite |- | 1 | 146\499 | 351.102 | 49/40 | Newt |- | 1 | 178\499 | 428.056 | 2800/2187 | Osiris Template:Rank-2 end Template:Orf