771edo: Difference between revisions
Cleanup; +subsets and supersets |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
771edo is [[consistency|distinctly consistent]] up to the [[21-odd-limit]], with all of the | 771edo is [[consistency|distinctly consistent]] up to the [[21-odd-limit]], with all of the [[prime harmonic]]s to 19 having a flat tendency. | ||
In the 5-limit it [[tempering out|tempers out]] the [[monzisma]], {{monzo| 54 -37 2 }}, and the [[mutt comma]], {{monzo| -44 -3 21 }}; in the 7-limit [[65625/65536]] and [[250047/250000]]; in the 11-limit [[3025/3024]]; in the 13-limit [[4225/4224]] and [[10648/10647]]; in the 17-limit [[833/832]], [[1225/1224]], [[2058/2057]], [[2431/2430]] and [[2601/2600]]; and in the 19-limit [[1445/1444]], 1540/1539, [[1729/1728]], 2926/2925, 3250/3249, 4200/4199 and 5985/5984. It provides the [[optimal patent val]] for the rank-6 temperament tempering out 833/832 and various other temperaments tempering it out. | In the 5-limit it [[tempering out|tempers out]] the [[monzisma]], {{monzo| 54 -37 2 }}, and the [[mutt comma]], {{monzo| -44 -3 21 }}; in the 7-limit [[65625/65536]] and [[250047/250000]]; in the 11-limit [[3025/3024]]; in the 13-limit [[4225/4224]] and [[10648/10647]]; in the 17-limit [[833/832]], [[1225/1224]], [[2058/2057]], [[2431/2430]] and [[2601/2600]]; and in the 19-limit [[1445/1444]], 1540/1539, [[1729/1728]], 2926/2925, 3250/3249, 4200/4199 and 5985/5984. It provides the [[optimal patent val]] for the rank-6 temperament tempering out 833/832 and various other temperaments tempering it out. | ||
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=== Subsets and supersets === | === Subsets and supersets === | ||
Since 771 factors into | Since 771 factors into {{factorization|771}}, 771edo contains [[3edo]] and [[257edo]] as subsets. | ||
[[Category:Horizmic]] | [[Category:Horizmic]] | ||