294edo: Difference between revisions

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294edo has a very accurate fifth inherited from [[147edo]], only 0.086 ~~cents~~ sharp, but it has a [[5/4]] which is 1.441 ~~cents~~ sharp and a [[7/4]] which is 1.479 ~~cents~~ flat, so that 7/5 is 2.920 ~~cents~~ flat, rendering it in[[consistent]] in the [[7-odd-limit]].

294edo has a very accurate fifth inherited from [[147edo]], only 0.086{{c}} sharp, but it has a [[5/4]] which is 1.441{{c}} sharp and a [[7/4]] which is 1.479{{c}} flat, so that 7/5 is 2.920{{c}} flat, rendering it in[[consistent]] in the [[7-odd-limit]].

In the 5-limit ~~the equal temperament~~ [[tempering out|tempers out]] 393216/390625, the [[würschmidt comma]], and {{monzo| 54 -37 2 }}, the [[monzisma]]. The [[patent val]] tempers out 10976/10935, the [[hemimage comma]], and 50421/50000, the [[trimyna comma]], and supplies the [[optimal patent val]] for [[trimyna]] temperament, as well as its 11-limit [[extension]], and also supplies the optimal patent val for the rank-4 temperament tempering out [[3773/3750]]. The 294d val tempers out [[16875/16807]] and [[19683/19600]] instead, supporting [[mirkat]], whereas 294c tempers out [[126/125]] and [[1029/1024]], supporting [[valentine]].

In the 5-limit 294edo [[tempering out|tempers out]] 393216/390625, the [[würschmidt comma]], and {{monzo| 54 -37 2 }}, the [[monzisma]]. The [[patent val]] tempers out 10976/10935, the [[hemimage comma]], and 50421/50000, the [[trimyna comma]], and supplies the [[optimal patent val]] for [[trimyna]] temperament, as well as its 11-limit [[extension]], and also supplies the optimal patent val for the rank-4 temperament tempering out [[3773/3750]]. The 294d val tempers out [[16875/16807]] and [[19683/19600]] instead, supporting [[mirkat]], whereas 294c tempers out [[126/125]] and [[1029/1024]], supporting [[valentine]].

=== Prime harmonics ===

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 {{Infobox ET}}
-{{EDO intro|294}}
+{{ED intro}}
-edo has a very accurate fifth inherited from [[147edo]], only 0.086 cents sharp, but it has a [[5/4]] which is 1.441 cents sharp and a [[7/4]] which is 1.479 cents flat, so that 7/5 is 2.920 cents flat, rendering it in[[consistent]] in the [[7-odd-limit]].
+edo has a very accurate fifth inherited from [[147edo]], only 0.086{{c}} sharp, but it has a [[5/4]] which is 1.441{{c}} sharp and a [[7/4]] which is 1.479{{c}} flat, so that 7/5 is 2.920{{c}} flat, rendering it in[[consistent]] in the [[7-odd-limit]].
-In the 5-limit the equal temperament [[tempering out|tempers out]] 393216/390625, the [[würschmidt comma]], and {{monzo| 54 -37 2 }}, the [[monzisma]]. The [[patent val]] tempers out 10976/10935, the [[hemimage comma]], and 50421/50000, the [[trimyna comma]], and supplies the [[optimal patent val]] for [[trimyna]] temperament, as well as its 11-limit [[extension]], and also supplies the optimal patent val for the rank-4 temperament tempering out [[3773/3750]]. The 294d val tempers out [[16875/16807]] and [[19683/19600]] instead, supporting [[mirkat]], whereas 294c tempers out [[126/125]] and [[1029/1024]], supporting [[valentine]].
+In the 5-limit 294edo [[tempering out|tempers out]] 393216/390625, the [[würschmidt comma]], and {{monzo| 54 -37 2 }}, the [[monzisma]]. The [[patent val]] tempers out 10976/10935, the [[hemimage comma]], and 50421/50000, the [[trimyna comma]], and supplies the [[optimal patent val]] for [[trimyna]] temperament, as well as its 11-limit [[extension]], and also supplies the optimal patent val for the rank-4 temperament tempering out [[3773/3750]]. The 294d val tempers out [[16875/16807]] and [[19683/19600]] instead, supporting [[mirkat]], whereas 294c tempers out [[126/125]] and [[1029/1024]], supporting [[valentine]].
 === Prime harmonics ===