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m Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct"
 
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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|593}}
{{ED intro}}


== Theory ==
== Theory ==
593edo is [[consistent]] to the [[9-odd-limit]]. The equal temperament [[tempering out|tempers out]] [[4375/4374]], [[33554432/33480783]], 52734375/52706752, and 67108864/66976875 in the 7-limit. It [[support]]s [[vulture]] and [[squarschmidt]]. It is also notable in the 2.3.5.7.17 [[subgroup]], tempering out [[2500/2499]].  
593edo is [[consistent]] to the [[9-odd-limit]]. As an equal temperament, it [[tempering out|tempers out]] [[4375/4374]], [[33554432/33480783]], 52734375/52706752, and 67108864/66976875 in the 7-limit. It [[support]]s [[vulture]] and [[squarschmidt]]. It is also notable in the 2.3.5.7.17 [[subgroup]], tempering out [[2500/2499]].  


=== Prime harmonics ===
=== Prime harmonics ===
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== Regular temperament properties ==
== Regular temperament properties ==
{{comma basis begin}}
{| class="wikitable center-4 center-5 center-6"
|-
! rowspan="2" | [[Subgroup]]
! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br>8ve stretch (¢)
! colspan="2" | Tuning error
|-
! [[TE error|Absolute]] (¢)
! [[TE simple badness|Relative]] (%)
|-
|-
| 2.3
| 2.3
| {{monzo| 940 -593 }}
| {{Monzo| 940 -593 }}
| {{mapping| 593 940 }}
| {{Mapping| 593 940 }}
| &minus;0.0748
| −0.0748
| 0.0748
| 0.0748
| 3.70
| 3.70
|-
|-
| 2.3.5
| 2.3.5
| {{monzo| 24 -21 4 }}, {{monzo| 37 25 -33 }}
| {{Monzo| 24 -21 4 }}, {{monzo| 37 25 -33 }}
| {{mapping| 593 940 1377 }}
| {{Mapping| 593 940 1377 }}
| &minus;0.0780
| −0.0780
| 0.0613
| 0.0613
| 3.03
| 3.03
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| 2.3.5.7
| 2.3.5.7
| 4375/4374, 33554432/33480783, 52734375/52706752
| 4375/4374, 33554432/33480783, 52734375/52706752
| {{mapping| 593 940 1377 1665 }}
| {{Mapping| 593 940 1377 1665 }}
| &minus;0.1015
| −0.1015
| 0.0669
| 0.0669
| 3.31
| 3.31
{{comma basis end}}
|}


=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{{rank-2 begin}}
{| class="wikitable center-all left-5"
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
|-
! Periods<br>per 8ve
! Generator*
! Cents*
! Associated<br>ratio*
! Temperaments
|-
|-
| 1
| 1
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| 435.08
| 435.08
| 9/7
| 9/7
| [[Supermajor]]
| [[Supermajor (temperament)|Supermajor]]
|-
|-
| 1
| 1
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| 864/625
| 864/625
| [[Whoosh]]
| [[Whoosh]]
{{rank-2 end}}
|}
{{orf}}
<nowiki/>* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct


== Music ==
== Music ==
; [[Francium]]
; [[Francium]]
* "theshocks" from ''albumwithoutspaces'' (2024) &ndash; [https://open.spotify.com/track/3EmJ9swIvLJ8NPLvT7qnV4 Spotify] | [https://francium223.bandcamp.com/track/theshocks Bandcamp] | [https://www.youtube.com/watch?v=fwgy5bpHh5U YouTube] &ndash; vulture[13] in 593edo tuning
* "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] – in Vulture[13], 593edo tuning


[[Category:Listen]]
[[Category:Listen]]
Retrieved from "https://en.xen.wiki/w/593edo"