87edo: Difference between revisions
→Rank-2 temperaments: expansion |
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{{main|87edo/13-limit detempering}} | {{main|87edo/13-limit detempering}} | ||
== Rank | == Rank-2 temperaments == | ||
{| class="wikitable center-all | {| class="wikitable center-all left-5" | ||
|+ Table of rank-2 temperaments by generator | |+ Table of rank-2 temperaments by generator | ||
|- | |- | ||
! Periods<br> per octave | ! Periods<br> per octave | ||
! Generator | ! Generator<br>(Reduced) | ||
! Cents | ! Cents<br>(Reduced) | ||
! Associated<br> | ! Associated Ratio<br>(Reduced) | ||
! Temperament | ! Temperament | ||
|- | |||
| 1 | |||
| 2\87 | |||
| 27.586 | |||
| 64/63 | |||
| [[Arch]] | |||
|- | |- | ||
| 1 | | 1 | ||
| 4\87 | | 4\87 | ||
| 55.172 | | 55.172 | ||
| [[ | | 33/32 | ||
| [[Escapade]] / [[sensa]] / [[alphaquarter]] | |||
|- | |- | ||
| 1 | | 1 | ||
| 10\87 | | 10\87 | ||
| 137.931 | | 137.931 | ||
| | | 13/12 | ||
| [[Quartemka]] | | [[Quartemka]] | ||
|- | |- | ||
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| 14\87 | | 14\87 | ||
| 193.103 | | 193.103 | ||
| | | 28/25 | ||
| [[Luna]] / [[ | | [[Luna]] / [[hemithirds]] | ||
|- | |- | ||
| 1 | | 1 | ||
| 17\87 | | 17\87 | ||
| 234.483 | | 234.483 | ||
| | | 8/7 | ||
| [[Rodan]] | | [[Rodan]] | ||
|- | |- | ||
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| 23\87 | | 23\87 | ||
| 317.241 | | 317.241 | ||
| | | 6/5 | ||
| [[Hanson]] / [[ | | [[Hanson]] / [[countercata]] / [[metakleismic]] | ||
|- | |- | ||
| 1 | | 1 | ||
| 26\87 | | 26\87 | ||
| 358.621 | | 358.621 | ||
| | | 16/13 | ||
| [[Restles]] | | [[Restles]] | ||
|- | |- | ||
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| 32\87 | | 32\87 | ||
| 441.379 | | 441.379 | ||
| | | 9/7 | ||
| [[Clyde]] | | [[Clyde]] | ||
|- | |- | ||
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| 38\87 | | 38\87 | ||
| 524.138 | | 524.138 | ||
| | | 65/48 | ||
| [[Widefourth]] | | [[Widefourth]] | ||
|- | |- | ||
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| 40\87 | | 40\87 | ||
| 551.724 | | 551.724 | ||
| [[ | | 11/8 | ||
| [[ | | [[Emka]] / [[emkay]] | ||
|- | |||
| 3 | |||
| 18\87<br>(11\87) | |||
| 248.276<br>(151.724) | |||
| 15/13<br>(12/11) | |||
| [[Hemimist]] | |||
|- | |- | ||
| 3 | | 3 | ||
| 23\87 | | 23\87<br>(6\87) | ||
| 317.241 | | 317.241<br>(82.759) | ||
| | | 6/5<br>(21/20) | ||
| [[Tritikleismic]] | | [[Tritikleismic]] | ||
|- | |- | ||
| 3 | | 3 | ||
| 36\87 | | 28\87<br>(1\87) | ||
| 496.552 | | 386.207<br>(13.793) | ||
| | | 5/4<br>(126/125) | ||
| [[Mutt]] | |||
|- | |||
| 3 | |||
| 36\87<br>(7\87) | |||
| 496.552<br>(96.552) | |||
| 4/3<br>(18/17~19/18) | |||
| [[Misty]] | | [[Misty]] | ||
|- | |- | ||
| 29 | | 29 | ||
| 28\87 | | 28\87<br>(1\87) | ||
| 386.207 | | 386.207<br>(13.793) | ||
| | | 5/4<br>(121/120) | ||
| [[Mystery]] | | [[Mystery]] | ||
|} | |} | ||
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87 can serve as a MOS in these: | 87 can serve as a MOS in these: | ||
* [[ | * [[Breed|270&87]] {{multival| 24 -9 -66 12 27 … }} | ||
* [[ | * [[Breed|494&87]] {{multival| 51 -1 -133 11 32 … }} | ||
== Scales == | == Scales == | ||