Equal-step tuning: Difference between revisions
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''As there are infinitely many intervals, there are infinitely many equal scales.'' Barring technicalities, there are large quantities of perceivably different equal scales. Seeing such a diverse menagerie at their disposal, some composers choose to combine multiple equal tunings [[ET survey|sequentially]] or [[Polymicrotonality|simultaneously]]. | ''As there are infinitely many intervals, there are infinitely many equal scales.'' Barring technicalities, there are large quantities of perceivably different equal scales. Seeing such a diverse menagerie at their disposal, some composers choose to combine multiple equal tunings [[ET survey|sequentially]] or [[Polymicrotonality|simultaneously]]. | ||
An equal-step tuning is an [[Arithmetic tuning|arithmetic]] and [[harmonotonic tuning]]. In terms of what musical resource is divided, it divides pitch, so it is an ''equal pitch division'' (''EPD''). Because pitch is the overwhelmingly most common musical resource to divide equally, this may be abbreviated to ED, or equal division. | An equal-step tuning is an [[Arithmetic tuning|arithmetic]] and [[harmonotonic tuning]]. In terms of what musical resource is divided, it divides pitch, so it is an ''equal pitch division'' (''[[EPD]]''). Because pitch is the overwhelmingly most common musical resource to divide equally, this may be abbreviated to ED, or equal division. | ||
== Formula == | == Formula == | ||
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* [[Equal division of the octave]] | * [[Equal division of the octave]] | ||
* [[Edonoi|Equal division of a non-octave interval]] | * [[Edonoi|Equal division of a non-octave interval]] | ||
* [[Families of scales]] | * [[Families of scales]] | ||
* [[Maximal evenness]] | * [[Maximal evenness]] | ||