58edo: Difference between revisions
Move hemipyth notation to the notation section |
ArrowHead294 (talk | contribs) mNo edit summary |
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{| class="wikitable center-all right-2 left-3 left-4"" | {| class="wikitable center-all right-2 left-3 left-4"" | ||
|- | |- | ||
! # | ! # | ||
! Cents | ! Cents | ||
! Approximate | ! Approximate ratios | ||
! [[Ups and downs notation | ! [[Ups and downs notation]] | ||
|- | |- | ||
| 0 | | 0 | ||
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{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|- | |||
! Step Offset | ! Step Offset | ||
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|+ style="font-size: 105%; white-space: nowrap;" | Hemipyth notation for 58edo (SW3-style) | |+ style="font-size: 105%; white-space: nowrap;" | Hemipyth notation for 58edo (SW3-style) | ||
|- | |- | ||
! # | ! # | ||
! Cents | ! Cents | ||
! Note | ! Note names<br />on D | ||
|- | |- | ||
| 0 | | 0 | ||
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== Regular temperament properties == | == Regular temperament properties == | ||
{ | {{comma basis begin}} | ||
|- | |- | ||
| 2.3.5 | | 2.3.5 | ||
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| 1.10 | | 1.10 | ||
| 5.33 | | 5.33 | ||
{{comma basis end}} | |||
* 58et has a lower relative error than any previous equal temperaments in the 13-limit, and the next equal temperament that does better in this subgroup is [[72edo|72]]. | * 58et has a lower relative error than any previous equal temperaments in the 13-limit, and the next equal temperament that does better in this subgroup is [[72edo|72]]. | ||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{ | {{rank-2 begin}} | ||
|- | |- | ||
| 1 | | 1 | ||
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|- | |- | ||
| 2 | | 2 | ||
| 17\58<br>(12\58) | | 17\58<br />(12\58) | ||
| 351.72<br>(248.28) | | 351.72<br />(248.28) | ||
| 11/9<br>(15/13) | | 11/9<br />(15/13) | ||
| [[Sruti]] | | [[Sruti]] | ||
|- | |- | ||
| 2 | | 2 | ||
| 21\58<br>(8\58) | | 21\58<br />(8\58) | ||
| 434.48<br>(165.52) | | 434.48<br />(165.52) | ||
| 9/7<br>(11/10) | | 9/7<br />(11/10) | ||
| [[Echidna]] | | [[Echidna]] | ||
|- | |- | ||
| 2 | | 2 | ||
| 24\58<br>(5\58) | | 24\58<br />(5\58) | ||
| 496.55<br>(103.45) | | 496.55<br />(103.45) | ||
| 4/3<br>(17/16) | | 4/3<br />(17/16) | ||
| [[Diaschismic]] | | [[Diaschismic]] | ||
|- | |- | ||
| 2 | | 2 | ||
| 25\58<br>(4\58) | | 25\58<br />(4\58) | ||
| 517.24<br>(82.76) | | 517.24<br />(82.76) | ||
| 27/20<br>(21/20) | | 27/20<br />(21/20) | ||
| [[Harry]] | | [[Harry]] | ||
|- | |- | ||
| 29 | | 29 | ||
| 19\58<br>(1\58) | | 19\58<br />(1\58) | ||
| 393.10<br>(20.69) | | 393.10<br />(20.69) | ||
| 5/4<br>(91/90) | | 5/4<br />(91/90) | ||
| [[Mystery]] | | [[Mystery]] | ||
{{rank-2 end}} | |||
{{orf}} | |||
58et can also be detempered to [[semihemi]] (58 & 140), [[supers]] (58 & 152), [[condor]] (58 & 159), and [[eagle]] (58 & 212). | 58et can also be detempered to [[semihemi]] (58 & 140), [[supers]] (58 & 152), [[condor]] (58 & 159), and [[eagle]] (58 & 212). | ||
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[[Category:Diaschismic]] | [[Category:Diaschismic]] | ||
[[Category:Harry]] | [[Category:Harry]] | ||
[[Category:Harry Partch]] | |||
[[Category:Hemififths]] | [[Category:Hemififths]] | ||
[[Category:Listen]] | |||
[[Category:Myna]] | [[Category:Myna]] | ||
[[Category:Mystery]] | [[Category:Mystery]] | ||