58edo: Difference between revisions

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~~The '''~~58 equal divisions of the octave''' ('''58edo'''), or the '''58(-tone) equal temperament''' ('''58tet''', '''58et''') when viewed from a [[regular temperament]] perspective, is the tuning system derived by dividing the [[octave]] into 58 [[equal]]ly-sized steps. Each step is about 20.7 [[cent]]s, an [[interval]] close in size to [[81/80]], the syntonic comma.

== Theory ==

58edo is a strong system in the [[11-limit|11]]-, [[13-limit|13]]- and [[17-limit]]. It is the smallest [[edo]] which is [[consistent]] through the [[17-odd-limit]], and is also the smallest distinctly consistent in the [[11-odd-limit]] (the first equal temperament to map the entire 11-odd-limit [[tonality diamond]] to distinct scale steps), and hence the first which can define a tempered version of the famous 43-note [[Harry Partch related scales|Genesis scale]] of [[Harry Partch]].

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 {{Infobox ET}}
 {{Wikipedia|58 equal temperament}}
-The '''58 equal divisions of the octave''' ('''58edo'''), or the '''58(-tone) equal temperament''' ('''58tet''', '''58et''') when viewed from a [[regular temperament]] perspective, is the tuning system derived by dividing the [[octave]] into 58 [[equal]]ly-sized steps. Each step is about 20.7 [[cent]]s, an [[interval]] close in size to [[81/80]], the syntonic comma.
+{{EDO intro|58}}
 == Theory ==
 edo is a strong system in the [[11-limit|11]]-, [[13-limit|13]]- and [[17-limit]]. It is the smallest [[edo]] which is [[consistent]] through the [[17-odd-limit]], and is also the smallest distinctly consistent in the [[11-odd-limit]] (the first equal temperament to map the entire 11-odd-limit [[tonality diamond]] to distinct scale steps), and hence the first which can define a tempered version of the famous 43-note [[Harry Partch related scales|Genesis scale]] of [[Harry Partch]].