311edo: Difference between revisions
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== Detemperaments == | == Detemperaments == | ||
=== Ringer scales === | === Ringer scales === | ||
There are two known [[Ringer scale]]s based on 311edo. Both include the complete mode 234 of the harmonic series using non-[[patent val]]s of 311edo, which is believed to be the highest possible complete harmonic series mode mapped by a 311-form. However, if one is looking for a Ringer scale, [[217edo]] may be preferred due to mapping all of mode 167, which is exceptional for its size (as a Ringer scale), just as [[311edo]] is exceptional for its size (as an [[edo]] interpreted as a temperament). | There are two known [[Ringer scale]]s based on 311edo. Both include the complete mode 234 of the harmonic series using non-[[patent val]]s of 311edo, which is believed to be the highest possible complete harmonic series mode mapped by a 311-form. However, if one is looking for a Ringer scale, [[217edo]] may be preferred due to mapping all of mode 167, which is exceptional for its size (as a Ringer scale), just as [[311edo]] is exceptional for its size (as an [[edo]] interpreted as a temperament; it's unknown whether Ringer 311 possesses any special properties that are not a direct result of 311edo's special properties as a temperament). | ||
==== Ringer 311[+61] ==== | ==== Ringer 311[+61] ==== | ||