Distributional evenness: Difference between revisions

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A scale is '''distributionally even (DE)''' if it has [[maximum variety]] 2; that is, each class of interval ("seconds", "thirds", and so on) contains '''no more than''' two specific intervals.
A scale is '''distributionally even''' ('''DE''') if it has [[maximum variety]] 2; that is, each generic interval class ("seconds", "thirds", and so on) contains no more than two specific intervals.


In practice, such scales are often referred to as "[[MOS scale]]s", but some consider this usage to be technically incorrect because a MOS as defined by [[Erv Wilson]] was to have '''exactly''' two specific intervals for each class other than multiples of the octave. When Wilson discovered MOS scales and found numerous examples, DE scales with period a fraction of an octave such as [[pajara]], [[Augmented family|augmented]], [[diminished]], etc. were not among them.
In practice, such scales are often referred to as "[[MOS scale]]s", but some consider this usage to be technically incorrect because a MOS as defined by [[Erv Wilson]] was to have ''exactly'' two specific intervals for each class other than multiples of the octave. When Wilson discovered MOS scales and found numerous examples, DE scales with period a fraction of an octave such as [[pajara]], [[Augmented family|augmented]], [[diminished]], etc. were not among them.


[[Category:Scale theory]]
[[Category:Scale]]

Revision as of 05:42, 15 August 2021

A scale is distributionally even (DE) if it has maximum variety 2; that is, each generic interval class ("seconds", "thirds", and so on) contains no more than two specific intervals.

In practice, such scales are often referred to as "MOS scales", but some consider this usage to be technically incorrect because a MOS as defined by Erv Wilson was to have exactly two specific intervals for each class other than multiples of the octave. When Wilson discovered MOS scales and found numerous examples, DE scales with period a fraction of an octave such as pajara, augmented, diminished, etc. were not among them.