2019edo: Difference between revisions

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Theory: about higher limits
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{{EDO intro|2019}}
{{EDO intro|2019}}
== Theory ==
== Theory ==
2019edo is excellent in the 2.3.5.7 subgroup, and with such small errors it supports a noticeable amount of [[very high accuracy temperaments]].
2019edo is excellent in the 2.3.5.7 subgroup, and with such small errors it supports a noticeable amount of [[very high accuracy temperaments]]. While it is consistent in the 11-odd-limit, there is a large relative error on the representation of the 11th harmonic.
 
In higher limits, it tunes [[23/16]] and [[59/32]] with the comparable relative accuracy to the 2.3.5.7 subgroup (less than 7% error). A comma basis for the 2.3.5.7.23.59 subgroup is {14337/14336, 25921/25920, 250047/250000, 48234496/48234375, 843396867/843308032}.
=== Prime harmonics ===
=== Prime harmonics ===
{{Harmonics in equal|2019}}
{{Harmonics in equal|2019}}
== Regular temperament properties ==
== Regular temperament properties ==
=== Rank-2 temperaments ===
=== Rank-2 temperaments ===