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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| -53 10 16 }}, {{monzo| 26 -75 40 }}
| {{monzo| -53 10 16 }}, {{monzo| 26 -75 40 }}
| {{mapping| 1600 2536 3715 }}
| {{mapping| 1600 2536 3715 }}
| -0.0003
| &minus;0.0003
| 0.0228
| 0.0228
| 3.04
| 3.04
Line 36: Line 28:
| 4375/4374, {{monzo| 36 -5 0 -10 }}, {{monzo| -17 5 16 -10 }}
| 4375/4374, {{monzo| 36 -5 0 -10 }}, {{monzo| -17 5 16 -10 }}
| {{mapping| 1600 2536 3715 4492 }}
| {{mapping| 1600 2536 3715 4492 }}
| -0.0157
| &minus;0.0157
| 0.0332
| 0.0332
| 4.43
| 4.43
Line 43: Line 35:
| 3025/3024, 4375/4374, {{monzo| 24 -1 -5 0 1 }}, {{monzo| 15 1 7 -8 -3 }}
| 3025/3024, 4375/4374, {{monzo| 24 -1 -5 0 1 }}, {{monzo| 15 1 7 -8 -3 }}
| {{mapping| 1600 2536 3715 4492 5535 }}
| {{mapping| 1600 2536 3715 4492 5535 }}
| -0.0172
| &minus;0.0172
| 0.0329
| 0.0329
| 4.39
| 4.39
Line 50: Line 42:
| 3025/3024, 4096/4095, 4375/4374, 78125/78078, 823875/823543
| 3025/3024, 4096/4095, 4375/4374, 78125/78078, 823875/823543
| {{mapping| 1600 2536 3715 4492 5535 5921 }}
| {{mapping| 1600 2536 3715 4492 5535 5921 }}
| -0.0087
| &minus;0.0087
| 0.0356
| 0.0356
| 4.75
| 4.75
Line 57: Line 49:
| 2500/2499, 3025/3024, 4096/4095, 4375/4374, 14875/14872, 63888/63869
| 2500/2499, 3025/3024, 4096/4095, 4375/4374, 14875/14872, 63888/63869
| {{mapping| 1600 2536 3715 4492 5535 5921 6540 }}
| {{mapping| 1600 2536 3715 4492 5535 5921 6540 }}
| -0.0163
| &minus;0.0163
| 0.0331
| 0.0331
| 4.41
| 4.41
|}
{{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
Line 85: Line 70:
|-
|-
| 32
| 32
| 121\1600<br>(21/1600)
| 121\1600<br />(21/1600)
| 90.75<br>(15.75)
| 90.75<br />(15.75)
| 48828125/46294416<br>(?)
| 48828125/46294416<br />(?)
| [[Windrose]]
| [[Windrose]]
|-
|-
| 32
| 32
| 357\1600<br>(7\1600)
| 357\1600<br />(7\1600)
| 267.75<br>(5.25)
| 267.75<br />(5.25)
| 245/143<br>(?)
| 245/143<br />(?)
| [[Germanium]]
| [[Germanium]]
|-
|-
| 80
| 80
| 629\1600<br>(9\1600)
| 629\1600<br />(9\1600)
| 471.75<br>(6.75)
| 471.75<br />(6.75)
| 130/99<br>(?)
| 130/99<br />(?)
| [[Tetraicosic]]
| [[Tetraicosic]]
|}
{{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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