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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
| {{monzo| 279 -176 }}
| {{monzo| 279 -176 }}
| {{mapping| 176 279 }}
| {{mapping| 176 279 }}
| -0.100
| &minus;0.100
| 0.100
| 0.100
| 1.47
| 1.47
Line 34: Line 26:
| 78732/78125, {{monzo| 41 -20 -4 }}
| 78732/78125, {{monzo| 41 -20 -4 }}
| {{mapping| 176 279 409 }}
| {{mapping| 176 279 409 }}
| -0.400
| &minus;0.400
| 0.432
| 0.432
| 6.34
| 6.34
Line 41: Line 33:
| 6144/6125, 10976/10935, 50421/50000
| 6144/6125, 10976/10935, 50421/50000
| {{mapping| 176 279 409 494 }}
| {{mapping| 176 279 409 494 }}
| -0.243
| &minus;0.243
| 0.463
| 0.463
| 6.79
| 6.79
Line 48: Line 40:
| 441/440, 3388/3375, 6144/6125, 8019/8000
| 441/440, 3388/3375, 6144/6125, 8019/8000
| {{mapping| 176 279 409 494 609 }}
| {{mapping| 176 279 409 494 609 }}
| -0.250
| &minus;0.250
| 0.414
| 0.414
| 6.08
| 6.08
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| 351/350, 364/363, 441/440, 2197/2187, 3146/3125
| 351/350, 364/363, 441/440, 2197/2187, 3146/3125
| {{mapping| 176 279 409 494 609 651 }}
| {{mapping| 176 279 409 494 609 651 }}
| -0.123
| &minus;0.123
| 0.473
| 0.473
| 6.93
| 6.93
|}
{{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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|-
|-
| 4
| 4
| 73\176<br>(15\176)
| 73\176<br />(15\176)
| 497.73<br>(102.27)
| 497.73<br />(102.27)
| 4/3<br>(35/33)
| 4/3<br />(35/33)
| [[Undim]]
| [[Undim]]
|-
|-
| 8
| 8
| 73\176<br>(7\176)
| 73\176<br />(7\176)
| 497.73<br>(47.73)
| 497.73<br />(47.73)
| 4/3<br>(36/35)
| 4/3<br />(36/35)
| [[Twilight]]
| [[Twilight]]
|-
|-
| 8
| 8
| 83\176<br>(5\176)
| 83\176<br />(5\176)
| 565.91<br>(34.09)
| 565.91<br />(34.09)
| 168/121<br>(55/54)
| 168/121<br />(55/54)
| [[Octowerck]] (176f) / octowerckis (176)
| [[Octowerck]] (176f) / octowerckis (176)
|-
|-
| 11
| 11
| 73\176<br>(7\176)
| 73\176<br />(7\176)
| 497.73<br>(47.73)
| 497.73<br />(47.73)
| 4/3<br>(36/35)
| 4/3<br />(36/35)
| [[Hendecatonic]]
| [[Hendecatonic]]
|-
|-
| 22
| 22
| 73\176<br>(1\176)
| 73\176<br />(1\176)
| 497.73<br>(6.82)
| 497.73<br />(6.82)
| 4/3<br>(385/384)
| 4/3<br />(385/384)
| [[Icosidillic]] / [[major arcana]]
| [[Icosidillic]] / [[major arcana]]
|}
{{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:Countermiracle]]
[[Category:Countermiracle]]
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