593edo: Difference between revisions
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== Regular temperament properties == | == Regular temperament properties == | ||
{ | {{comma basis begin}} | ||
|- | |- | ||
| 2.3 | | 2.3 | ||
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| 0.0669 | | 0.0669 | ||
| 3.31 | | 3.31 | ||
{{comma basis end}} | |||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{ | {{rank-2 begin}} | ||
|- | |- | ||
| 1 | | 1 | ||
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| 864/625 | | 864/625 | ||
| [[Whoosh]] | | [[Whoosh]] | ||
{{rank-2 end}} | |||
{{orf}} | |||
== Music == | == Music == | ||
; [[Francium]] | ; [[Francium]] | ||
* "theshocks" from ''albumwithoutspaces'' (2024) | * "theshocks" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/3EmJ9swIvLJ8NPLvT7qnV4 Spotify] | [https://francium223.bandcamp.com/track/theshocks Bandcamp] | [https://www.youtube.com/watch?v=fwgy5bpHh5U YouTube] – vulture[13] in 593edo tuning | ||
[[Category:Listen]] | |||
Revision as of 01:55, 16 November 2024
| ← 592edo | 593edo | 594edo → |
Theory
593edo is consistent to the 9-odd-limit. The equal temperament tempers out 4375/4374, 33554432/33480783, 52734375/52706752, and 67108864/66976875 in the 7-limit. It supports vulture and squarschmidt. It is also notable in the 2.3.5.7.17 subgroup, tempering out 2500/2499.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | +0.237 | +0.196 | +0.483 | -0.896 | -0.730 | +0.272 | -0.043 | -0.956 | +0.440 | +0.327 |
| Relative (%) | +0.0 | +11.7 | +9.7 | +23.9 | -44.3 | -36.1 | +13.5 | -2.1 | -47.2 | +21.7 | +16.2 | |
| Steps (reduced) |
593 (0) |
940 (347) |
1377 (191) |
1665 (479) |
2051 (272) |
2194 (415) |
2424 (52) |
2519 (147) |
2682 (310) |
2881 (509) |
2938 (566) | |
Subsets and supersets
593edo is the 108th prime edo.
Regular temperament properties
Template:Comma basis begin |- | 2.3 | [940 -593⟩ | [⟨593 940]] | -0.0748 | 0.0748 | 3.70 |- | 2.3.5 | [24 -21 4⟩, [37 25 -33⟩ | [⟨593 940 1377]] | -0.0780 | 0.0613 | 3.03 |- | 2.3.5.7 | 4375/4374, 33554432/33480783, 52734375/52706752 | [⟨593 940 1377 1665]] | -0.1015 | 0.0669 | 3.31 Template:Comma basis end
Rank-2 temperaments
Template:Rank-2 begin |- | 1 | 196\593 | 396.63 | 98304/78125 | Squarschmidt |- | 1 | 215\593 | 435.08 | 9/7 | Supermajor |- | 1 | 235\593 | 475.55 | 320/243 | Vulture |- | 1 | 246\593 | 497.81 | 4/3 | Gary |- | 1 | 277\593 | 560.54 | 864/625 | Whoosh Template:Rank-2 end Template:Orf