198edo: 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]] (%)
|-
|-
| 2.3.5.7.11
| 2.3.5.7.11
| 2401/2400, 3025/3024, 3136/3125, 4375/4374
| 2401/2400, 3025/3024, 3136/3125, 4375/4374
| {{mapping| 198 314 460 556 685 }}
| {{mapping| 198 314 460 556 685 }}
| -0.344
| &minus;0.344
| 0.291
| 0.291
| 4.80
| 4.80
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| 352/351, 676/675, 847/845, 1716/1715, 3025/3024
| 352/351, 676/675, 847/845, 1716/1715, 3025/3024
| {{mapping| 198 314 460 556 685 733 }}
| {{mapping| 198 314 460 556 685 733 }}
| -0.372
| &minus;0.372
| 0.273
| 0.273
| 4.50
| 4.50
|}
{{comma basis end}}
* 198et has a lower absolute error in the 13-limit than any previous equal temperaments, past [[190edo|190]] and followed by [[224edo|224]].  
* 198et has a lower absolute error in the 13-limit than any previous equal temperaments, past [[190edo|190]] and followed by [[224edo|224]].  


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Note: temperaments supported by 99et are not included.  
Note: temperaments supported by 99et are not included.  


{| 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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|-
|-
| 2
| 2
| 52\198<br>(47\198)
| 52\198<br />(47\198)
| 315.15<br>(284.85)
| 315.15<br />(284.85)
| 6/5<br>(33/28)
| 6/5<br />(33/28)
| [[Semiparakleismic]]
| [[Semiparakleismic]]
|-
|-
| 2
| 2
| 58\198<br>(41\198)
| 58\198<br />(41\198)
| 351.52<br>(248.48)
| 351.52<br />(248.48)
| 49/40<br>(15/13)
| 49/40<br />(15/13)
| [[Semihemi]]
| [[Semihemi]]
|-
|-
| 2
| 2
| 67\198<br>(32\198)
| 67\198<br />(32\198)
| 406.06<br>(193.94)
| 406.06<br />(193.94)
| 495/392<br>(28/25)
| 495/392<br />(28/25)
| [[Semihemiwürschmidt]]
| [[Semihemiwürschmidt]]
|-
|-
| 2
| 2
| 74\198<br>(25\198)
| 74\198<br />(25\198)
| 448.48<br>(151.51)
| 448.48<br />(151.51)
| 35/27<br>(12/11)
| 35/27<br />(12/11)
| [[Neusec]]
| [[Neusec]]
|-
|-
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|-
|-
| 3
| 3
| 41\198<br>(25\198)
| 41\198<br />(25\198)
| 248.48<br>(151.51)
| 248.48<br />(151.51)
| 15/13<br>(12/11)
| 15/13<br />(12/11)
| [[Hemimist]]
| [[Hemimist]]
|-
|-
| 6
| 6
| 82\198<br>(16\198)
| 82\198<br />(16\198)
| 496.97<br>(96.97)
| 496.97<br />(96.97)
| 4/3<br>(200/189)
| 4/3<br />(200/189)
| [[Semimist]]
| [[Semimist]]
|-
|-
| 18
| 18
| 52\198<br>(3\198)
| 52\198<br />(3\198)
| 315.15<br>(18.18)
| 315.15<br />(18.18)
| 6/5<br>(99/98)
| 6/5<br />(99/98)
| [[Hemiennealimmal]]
| [[Hemiennealimmal]]
|-
|-
| 22
| 22
| 82\198<br>(1\198)
| 82\198<br />(1\198)
| 496.97<br>(6.06)
| 496.97<br />(6.06)
| 4/3<br>(385/384)
| 4/3<br />(385/384)
| [[Icosidillic]]
| [[Icosidillic]]
|}
{{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:99edo]]
[[Category:99edo]]
[[Category:Major minthmic]]
[[Category:Major minthmic]]
[[Category:Namaka]]
[[Category:Namaka]]