Distributional evenness: Difference between revisions

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A scale is '''distributionally even (DE)''' if it has [[~~Maximum_variety|~~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 class of interval ("seconds", "thirds", and so on) contains '''no more than''' two specific intervals.

In practice, such scales are often referred to as "[[~~MOSScales|~~MOS]]" ~~scales~~, but some consider this usage to be technically incorrect because a MOS as defined by [[~~Erv_Wilson|~~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|~~pajara]], [[~~Augmented_family~~|augmented]], [[~~Diminished|~~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]]

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-A scale is '''distributionally even (DE)''' if it has [[Maximum_variety|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 class of interval ("seconds", "thirds", and so on) contains '''no more than''' two specific intervals.
-In practice, such scales are often referred to as "[[MOSScales|MOS]]" scales, but some consider this usage to be technically incorrect because a MOS as defined by [[Erv_Wilson|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|pajara]], [[Augmented_family|augmented]], [[Diminished|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]]