190edo: 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
| 2.3
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| 0.315
| 0.315
| 4.98
| 4.98
|}
{{comma basis end}}
* 190et (190g val) has a lower relative error in the 23-limit than any previous equal temperaments, being the first to beat [[94edo|94]]. However, [[193edo|193]], only slightly larger, beats it.  
* 190et (190g val) has a lower relative error in the 23-limit than any previous equal temperaments, being the first to beat [[94edo|94]]. However, [[193edo|193]], only slightly larger, beats it.  
* It is also prominent in the 13- and 19-limit, with lower absolute errors than any previous equal temperaments. It beats [[183edo|183]] in either subgroup and is bettered by [[198edo|198]] in the 13-limit, and by 193 in the 19-limit.  
* It is also prominent in the 13- and 19-limit, with lower absolute errors than any previous equal temperaments. It beats [[183edo|183]] in either subgroup and is bettered by [[198edo|198]] in the 13-limit, and by 193 in the 19-limit.  


=== 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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|-
|-
| 2
| 2
| 59\190<br>(36\190)
| 59\190<br />(36\190)
| 372.63<br>(227.37)
| 372.63<br />(227.37)
| 26/21<br>(297/260)
| 26/21<br />(297/260)
| [[Essence]]
| [[Essence]]
|-
|-
| 2
| 2
| 71\190<br>(24\190)
| 71\190<br />(24\190)
| 448.42<br>(151.58)
| 448.42<br />(151.58)
| 35/27<br>(12/11)
| 35/27<br />(12/11)
| [[Neusec]]
| [[Neusec]]
|-
|-
| 5
| 5
| 79\190<br>(3\190)
| 79\190<br />(3\190)
| 498.95<br>(18.95)
| 498.95<br />(18.95)
| 4/3<br>(81/80)
| 4/3<br />(81/80)
| [[Pental (temperament)|Pental]]
| [[Pental (temperament)|Pental]]
|-
|-
| 10
| 10
| 50\190<br>(7\190)
| 50\190<br />(7\190)
| 315.79<br>(45.79)
| 315.79<br />(45.79)
| 6/5<br>(40/39)
| 6/5<br />(40/39)
| [[Deca]]
| [[Deca]]
|-
|-
| 10
| 10
| 79\190<br>(3\190)
| 79\190<br />(3\190)
| 498.95<br>(18.95)
| 498.95<br />(18.95)
| 4/3<br>(81/80)
| 4/3<br />(81/80)
| [[Decal]]
| [[Decal]]
|-
|-
| 19
| 19
| 79\190<br>(1\190)
| 79\190<br />(1\190)
| 498.95<br>(6.32)
| 498.95<br />(6.32)
| 4/3<br>(225/224)
| 4/3<br />(225/224)
| [[Enneadecal]]
| [[Enneadecal]]
|-
|-
| 38
| 38
| 79\190<br>(1\190)
| 79\190<br />(1\190)
| 265.26<br>(6.32)
| 265.26<br />(6.32)
| 4/3<br>(225/224)
| 4/3<br />(225/224)
| [[Hemienneadecal]]
| [[Hemienneadecal]]
|-
|-
| 38
| 38
| 42\190<br>(2\190)
| 42\190<br />(2\190)
| 265.26<br>(12.63)
| 265.26<br />(12.63)
| 500/429<br>(144/143)
| 500/429<br />(144/143)
| [[Semihemienneadecal]]
| [[Semihemienneadecal]]
|}
{{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}}


== Scales ==
== Scales ==
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* [http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3 ''16 Slendric Virgins'']
* [http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3 ''16 Slendric Virgins'']


[[Category:Unidec]]
[[Category:Ekadash]]
[[Category:Ekadash]]
[[Category:Gamelismic]]
[[Category:Gamelismic]]
[[Category:Listen]]
[[Category:Portent]]
[[Category:Portent]]
[[Category:Portentous]]
[[Category:Portentous]]
[[Category:Listen]]
[[Category:Unidec]]