43edo: 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
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| 81/80, 126/125, 17280/16807
| 81/80, 126/125, 17280/16807
| [{{val| 43 68 100 121 }}]
| [{{val| 43 68 100 121 }}]
| −0.51
| &minus;0.51
| 2.11
| 2.11
| 7.56
| 7.56
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| 81/80, 99/98, 126/125, 864/847
| 81/80, 99/98, 126/125, 864/847
| [{{val| 43 68 100 121 149 }}]
| [{{val| 43 68 100 121 149 }}]
| −0.80
| &minus;0.80
| 1.98
| 1.98
| 7.08
| 7.08
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| 78/77, 81/80, 99/98, 126/125, 144/143
| 78/77, 81/80, 99/98, 126/125, 144/143
| [{{val| 43 68 100 121 149 159 }}]
| [{{val| 43 68 100 121 149 159 }}]
| −0.52
| &minus;0.52
| 1.91
| 1.91
| 6.85
| 6.85
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| 78/77, 81/80, 99/98, 120/119, 126/125, 144/143
| 78/77, 81/80, 99/98, 120/119, 126/125, 144/143
| [{{val| 43 68 100 121 149 159 176 }}]
| [{{val| 43 68 100 121 149 159 176 }}]
| −0.52
| &minus;0.52
| 1.81
| 1.81
| 6.49
| 6.49
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| 78/77, 81/80, 99/98, 120/119, 126/125, 135/133, 144/143
| 78/77, 81/80, 99/98, 120/119, 126/125, 135/133, 144/143
| [{{val| 43 68 100 121 149 159 176 183 }}]
| [{{val| 43 68 100 121 149 159 176 183 }}]
| −0.87
| &minus;0.87
| 1.77
| 1.77
| 6.34
| 6.34
|}
{{comma basis end}}


=== Commas ===
=== Commas ===
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{| class="commatable wikitable center-1 center-2 right-4 center-5"
{| class="commatable wikitable center-1 center-2 right-4 center-5"
|-
|-
! [[Harmonic limit|Prime<br>Limit]]
! [[Harmonic limit|Prime<br />Limit]]
! [[Ratio]]<ref group="note">Ratios longer than 10 digits are presented by placeholders with informative hints</ref>
! [[Ratio]]<ref group="note">Ratios longer than 10 digits are presented by placeholders with informative hints</ref>
! [[Monzo]]
! [[Monzo]]
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=== 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<br>(Reduced)
! Cents<br>(Reduced)
! Associated Ratio<br>(Reduced)
! Temperament
|-
|-
| 1
| 1
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| 7/5
| 7/5
| [[Merman]]
| [[Merman]]
|}
{{rank-2 end}}
{{orf}}


== Detemperaments ==
== Detemperaments ==