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Cleanup; clarify the title row of the rank-2 temp table; -redundant categories
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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]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br>8ve Stretch (¢)
! colspan="2" | Tuning Error
|-
! [[TE error|Absolute]] (¢)
! [[TE simple badness|Relative]] (%)
|-
|-
| 2.3.5.7
| 2.3.5.7
| 2401/2400, 3136/3125, 589824/588245
| 2401/2400, 3136/3125, 589824/588245
| {{mapping| 328 520 762 921 }}
| {{mapping| 328 520 762 921 }}
| -0.298
| &minus;0.298
| 0.229
| 0.229
| 6.27
| 6.27
Line 32: Line 24:
| 2401/2400, 3136/3125, 9801/9800, 19712/19683
| 2401/2400, 3136/3125, 9801/9800, 19712/19683
| {{mapping| 328 520 762 921 1135 }}
| {{mapping| 328 520 762 921 1135 }}
| -0.303
| &minus;0.303
| 0.205
| 0.205
| 5.61
| 5.61
Line 39: Line 31:
| 676/675, 1001/1000, 1716/1715, 3136/3125, 10648/10647
| 676/675, 1001/1000, 1716/1715, 3136/3125, 10648/10647
| {{mapping| 328 520 762 921 1135 1214 }}
| {{mapping| 328 520 762 921 1135 1214 }}
| -0.295
| &minus;0.295
| 0.188
| 0.188
| 5.15
| 5.15
Line 46: Line 38:
| 676/675, 936/935, 1001/1000, 1156/1155, 1716/1715, 3136/3125
| 676/675, 936/935, 1001/1000, 1156/1155, 1716/1715, 3136/3125
| {{mapping| 328 520 762 921 1135 1214 1341 }}
| {{mapping| 328 520 762 921 1135 1214 1341 }}
| -0.293
| &minus;0.293
| 0.174
| 0.174
| 4.77
| 4.77
|}
{{comma basis end}}


=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
Note: 5-limit temperaments supported by 164et are not listed.  
Note: 5-limit temperaments supported by 164et are not listed.  


{| 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
Line 81: Line 67:
|-
|-
| 2
| 2
| 111\328<br>(53\328)
| 111\328<br />(53\328)
| 406.10<br>(193.90)
| 406.10<br />(193.90)
| 495/392<br>(28/25)
| 495/392<br />(28/25)
| [[Semihemiwürschmidt]]
| [[Semihemiwürschmidt]]
|-
|-
| 8
| 8
| 136\328<br>(13\328)
| 136\328<br />(13\328)
| 497.56<br>(47.56)
| 497.56<br />(47.56)
| 4/3<br>(36/35)
| 4/3<br />(36/35)
| [[Twilight]]
| [[Twilight]]
|-
|-
| 41
| 41
| 49\328<br>(1\328)
| 49\328<br />(1\328)
| 179.27<br>(3.66)
| 179.27<br />(3.66)
| 567/512<br>(352/351)
| 567/512<br />(352/351)
| [[Hemicountercomp]]
| [[Hemicountercomp]]
|}
{{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}}


[[Category:Hemiwürschmidt]]
[[Category:Hemiwürschmidt]]
[[Category:Semiporwell]]
[[Category:Semiporwell]]
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