593edo: Difference between revisions

ArrowHead294 (talk | contribs)
Francium (talk | contribs)
m changed EDO intro to ED intro
 
(2 intermediate revisions by one other user not shown)
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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|593}}
{{ED intro}}


== Theory ==
== Theory ==
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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
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| {{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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| 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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| 864/625
| 864/625
| [[Whoosh]]
| [[Whoosh]]
{{rank-2 end}}
|}
{{orf}}
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct


== Music ==
== Music ==