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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]] (%)
|-
|-
| 2.3.5
| 2.3.5
| {{monzo| 23 6 -14 }}, {{monzo| 42 -47 14 }}
| {{monzo| 23 6 -14 }}, {{monzo| 42 -47 14 }}
| {{mapping| 574 910 1333 }}
| {{mapping| 574 910 1333 }}
| -0.1658
| &minus;0.1658
| 0.1260
| 0.1260
| 6.03
| 6.03
|-
|- style="border-top: double;"
| style="border-top: double;" | 2.3.5.7
| 2.3.5.7
| style="border-top: double;" | 4375/4374, 29360128/29296875, 40500000/40353607
| 4375/4374, 29360128/29296875, 40500000/40353607
| style="border-top: double;" | {{mapping| 574 910 1333 1612 }} (574d)
| {{mapping| 574 910 1333 1612 }} (574d)
| style="border-top: double;" | -0.2320
| &minus;0.2320
| style="border-top: double;" | 0.1583
| 0.1583
| style="border-top: double;" | 7.57
| 7.57
|-
|-
| 2.3.5.7.11
| 2.3.5.7.11
| 3025/3024, 4375/4374, 5632/5625, 40500000/40353607
| 3025/3024, 4375/4374, 5632/5625, 40500000/40353607
| {{mapping| 574 910 1333 1612 1986 }} (574d)
| {{mapping| 574 910 1333 1612 1986 }} (574d)
| -0.2202
| &minus;0.2202
| 0.1435
| 0.1435
| 6.87
| 6.87
Line 50: Line 42:
| 676/675, 3025/3024, 4225/4224, 4375/4374, 41600/41503
| 676/675, 3025/3024, 4225/4224, 4375/4374, 41600/41503
| {{mapping| 574 910 1333 1612 1986 2124 }} (574d)
| {{mapping| 574 910 1333 1612 1986 2124 }} (574d)
| -0.1786
| &minus;0.1786
| 0.1607
| 0.1607
| 7.69
| 7.69
|-
|- style="border-top: double;"
| style="border-top: double;" | 2.3.5.7
| 2.3.5.7
| style="border-top: double;" | 10976/10935, 2100875/2097152, 49009212/48828125
| 10976/10935, 2100875/2097152, 49009212/48828125
| style="border-top: double;" | {{mapping| 574 910 1333 1611 }} (574)
| {{mapping| 574 910 1333 1611 }} (574)
| style="border-top: double;" | -0.0459
| &minus;0.0459
| style="border-top: double;" | 0.2347
| 0.2347
| style="border-top: double;" | 11.23
| 11.23
|-
|-
| 2.3.5.7.11
| 2.3.5.7.11
| 5632/5625, 10976/10935, 131072/130977, 166698/166375
| 5632/5625, 10976/10935, 131072/130977, 166698/166375
| {{mapping| 574 910 1333 1611 1986 }} (574)
| {{mapping| 574 910 1333 1611 1986 }} (574)
| -0.0713
| &minus;0.0713
| 0.2160
| 0.2160
| 10.33
| 10.33
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| 676/675, 1001/1000, 4096/4095, 10976/10935, 166698/166375
| 676/675, 1001/1000, 4096/4095, 10976/10935, 166698/166375
| {{mapping| 574 910 1333 1611 1986 2124 }} (574)
| {{mapping| 574 910 1333 1611 1986 2124 }} (574)
| -0.0544
| &minus;0.0544
| 0.2007
| 0.2007
| 9.60
| 9.60
|}
{{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
|-
|-
| 2
| 2
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| 25/24
| 25/24
| [[Vishnu]] (574d)
| [[Vishnu]] (574d)
|}
{{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}}
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