569edo: Difference between revisions

Francium (talk | contribs)
Music: +music
Francium (talk | contribs)
m changed EDO intro to ED intro
 
(3 intermediate revisions by one other user not shown)
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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|569}}
{{ED intro}}


== Theory ==
== Theory ==
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== Regular temperament properties ==
== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
{| class="wikitable center-4 center-5 center-6"
|-
! rowspan="2" | [[Subgroup]]
! rowspan="2" | [[Subgroup]]
! rowspan="2" | [[Comma list|Comma List]]
! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br>8ve Stretch (¢)
! rowspan="2" | Optimal<br />8ve stretch (¢)
! colspan="2" | Tuning Error
! colspan="2" | Tuning error
|-
|-
! [[TE error|Absolute]] (¢)
! [[TE error|Absolute]] (¢)
! [[TE simple badness|Relative]] (%)
! [[TE simple badness|Relative]] (%)
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| {{monzo| 902 -569 }}
| {{monzo| 902 -569 }}
| {{mapping| 569 902 }}
| {{mapping| 569 902 }}
| -0.1040
| −0.1040
| 0.1040
| 0.1040
| 4.93
| 4.93
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| 1600000/1594323, {{monzo| -94 -11 48 }}
| 1600000/1594323, {{monzo| -94 -11 48 }}
| {{mapping| 569 902 1321 }}
| {{mapping| 569 902 1321 }}
| -0.0157
| −0.0157
| 0.1510
| 0.1510
| 7.16
| 7.16
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=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
{| class="wikitable center-all left-5"
|+Table of rank-2 temperaments by generator
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
! Periods<br>per 8ve
|-
! Periods<br />per 8ve
! Generator*
! Generator*
! Cents*
! Cents*
! Associated<br>Ratio*
! Associated<br />ratio*
! Temperaments
! Temperaments
|-
|-
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| [[Paramity]]
| [[Paramity]]
|}
|}
<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct


== Music ==
== Music ==