User:Eufalesio/Mappings of edos: Difference between revisions
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=== Helmholtzoids === | === Helmholtzoids === | ||
Have fifths a smidge flatter than just, along the optimal range for schismic. Up/down can be used for pc fractions. | Have fifths a smidge flatter than just, along the optimal range for schismic and pontiac. Up/down can be used for pc fractions. The true mappings for 171 and 224's edostep are -53 fifths (transmercunison). 130 and 159 instead have a poma fraction as the only possible mapping. | ||
* 130 has a well rounded 13-limit with very good accuracy, usable all the way to the no-29 31-limit. | * 130 has a well rounded 13-limit with very good accuracy, usable all the way to the no-29 31-limit. | ||
| Line 233: | Line 233: | ||
|17:4 | |17:4 | ||
|duphyperfourth | |duphyperfourth | ||
| | |upperminor third | ||
|downpertritone | |downpertritone | ||
|} | |} | ||
=== Ultimate === | === Ultimate === | ||
Have fifths a smidge sharper than just, along the optimal range for cassaschismic. Up/down can be used for | Have fifths a smidge sharper than just, along the optimal range for cassaschismic. Up/down can be used for pc fractions. | ||
{{Databox|The true mappings of the up/down are contrived.|41-comma (transsuperunison) for 217edo<br>53-comma - half poma (transsemisubunison) for 270edo<br>135-comma for 311edo<br>also -41 hemififths (sesquisubbarbaric) for 270edo and 311edo}} | |||
* 217 has a well rounded 31-limit with great accuracy. | * 217 has a well rounded 31-limit with great accuracy. | ||
* 270 has an astonishingly accurate yazalathana. Usable in higher limits. | * 270 has an astonishingly accurate yazalathana. Usable in higher limits. | ||