Diaschismic: Difference between revisions
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A stack of twelve perfect fifths octave reduced (a [[diesis (scale theory)|diesis]]) is close in size to a quartertone, and that plus a period can be used to represent [[16/11]]. Three more fifths on top of 16/11 give [[16/13]]. Finally, since the whole tone has been split in two, each can be used to represent [[17/16]]~[[18/17]]. Therefore, diaschismic is most naturally viewed as a full 17-limit temperament, tempering out 126/125, [[136/135]], [[176/175]], [[196/195]], and [[256/255]]. | A stack of twelve perfect fifths octave reduced (a [[diesis (scale theory)|diesis]]) is close in size to a quartertone, and that plus a period can be used to represent [[16/11]]. Three more fifths on top of 16/11 give [[16/13]]. Finally, since the whole tone has been split in two, each can be used to represent [[17/16]]~[[18/17]]. Therefore, diaschismic is most naturally viewed as a full 17-limit temperament, tempering out 126/125, [[136/135]], [[176/175]], [[196/195]], and [[256/255]]. | ||
See [[Diaschismic family #Septimal diaschismic]] for technical data. | See [[Diaschismic family #Diaschismic]] and [[Diaschismic family #Septimal diaschismic]] for technical data. | ||
== Interval chain == | == Interval chain == | ||