220edo: Difference between revisions

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== Regular temperament properties ==
== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
{{comma basis begin}}
! rowspan="2" | [[Subgroup]]
! rowspan="2" | [[Comma list|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| 349 -220 }}
| {{monzo| 349 -220 }}
| {{mapping| 220 349 }}
| {{mapping| 220 349 }}
| -0.5304
| &minus;0.5304
| 0.5302
| 0.5302
| 9.72
| 9.72
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| {{monzo| 20 -17 3 }}, {{monzo| 23 6 -14 }}
| {{monzo| 20 -17 3 }}, {{monzo| 23 6 -14 }}
| {{mapping| 220 349 511 }}
| {{mapping| 220 349 511 }}
| -0.4912
| &minus;0.4912
| 0.4364
| 0.4364
| 8.00
| 8.00
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| 6144/6125, 10976/10935, 390625/388962
| 6144/6125, 10976/10935, 390625/388962
| {{mapping| 220 349 511 618 }}
| {{mapping| 220 349 511 618 }}
| -0.5538
| &minus;0.5538
| 0.3932
| 0.3932
| 7.21
| 7.21
|}
{{comma basis end}}


=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
{{rank-2 begin}}
|+Table of rank-2 temperaments by generator
! Periods<br>per 8ve
! Generator*
! Cents*
! Associated<br>Ratio*
! Temperaments
|-
|-
| 1
| 1
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|-
|-
| 11
| 11
| 91\220<br>(9\220)
| 91\220<br />(9\220)
| 496.36<br>(49.09)
| 496.36<br />(49.09)
| 4/3<br>(36/35)
| 4/3<br />(36/35)
| [[Hendecatonic]]
| [[Hendecatonic]]
|-
|-
| 20
| 20
| 91\220<br>(3\220)
| 91\220<br />(3\220)
| 496.36<br>(16.36)
| 496.36<br />(16.36)
| 4/3<br>(126/125)
| 4/3<br />(126/125)
| [[Degrees]]
| [[Degrees]]
|}
{{rank-2 end}}
<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
{{orf}}