1957edo: Difference between revisions

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1957edo is notable for an extremely good approximation of the [[2.5.7 subgroup]].
1957edo is notable for an extremely good approximation of the [[2.5.7 subgroup]].


In terms of regular temperaments, as a multiple of 19, it tempers out the [[enneadeca]], equating [[6/5]] to 5 steps of [[19edo]], while in the 2.5.7 subgroup it tempers out 281484423828125/281474976710656 ({{monzo|-48 0 11 8 }}), supporting [[rainy-didacus equivalence continuum#exodia|exodia]], the subgroup restriction of [[mohajira]]. It also inherits its mapping of [[10/7]] from [[103edo]] (which is a convergent), and equates six of this interval to [[17/2]], thereby tempering out S49/S50 = [[2000033/2000000]].
In terms of [[regular temperament]]s, as a multiple of 19, it [[tempers out]] the [[enneadeca]], equating [[6/5]] to 5 steps of [[19edo]], while in the 2.5.7 subgroup it tempers out 281484423828125/281474976710656 ({{monzo|-48 0 11 8 }}), supporting [[rainy-didacus equivalence continuum#exodia|exodia]], the subgroup restriction of [[mohajira]]. It also inherits its mapping of [[10/7]] from [[103edo]] (which is a convergent), and equates six of this interval to [[17/2]], thereby tempering out S49/S50 = [[2000033/2000000]].


=== Odd harmonics ===
=== Odd harmonics ===
{{Harmonics in equal|1957}}
{{Harmonics in equal|1957}}
{{stub}}