412edo: 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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| {{monzo| 32 -7 -9 }}, {{monzo| -5 31 -19 }}
| {{monzo| 32 -7 -9 }}, {{monzo| -5 31 -19 }}
| {{mapping| 412 653 957 }}
| {{mapping| 412 653 957 }}
| -0.1501
| &minus;0.1501
| 0.2182
| 0.2182
| 7.49
| 7.49
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| 6144/6125, 2460375/2458624, 49009212/48828125
| 6144/6125, 2460375/2458624, 49009212/48828125
| {{mapping| 412 653 957 1157 }}
| {{mapping| 412 653 957 1157 }}
| -0.2085
| &minus;0.2085
| 0.2143
| 0.2143
| 7.36
| 7.36
|}
{{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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| 16875/16384
| 16875/16384
| [[Septisuperfourth]] (7-limit)
| [[Septisuperfourth]] (7-limit)
|}
{{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}}