Generic and specific intervals: Difference between revisions

Revision as of 22:27, 29 March 2011

Revision as of 14:41, 2 June 2011

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[[Image:Maximal evenness seconds.png|thumb|The [[major scale]] is [[maximal evenness|maximally even]]. For example, for every generic interval of a second there are only two possible specific intervals: 1 semitone (a minor second) or 2 semitones (a major second).]]

In [[diatonic set theory]] a '''generic interval''' is the number of scale [[Step (music)|stepsteps]]s between [[note (music)|notes]] of a [[Set (music)|collection]] or [[scale (music)|scale]]. The largest generic [[interval (music)|interval]] is one less than the number of scale members. (Johnson 2003, p.26)

In the [[diatonic collection]] the generic interval is one less than the corresponding diatonic interval:

* Adjacent intervals, [[second]]s, are 1

* [[Third]]s = 2

* [[Fourth]]s = 3

* [[Fifth]]s = 4

* [[Sixth]]s = 5

* [[Seventh]]s = 6

The largest generic interval in the diatonic scale being 7-1 = 6.

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==Source==

* Johnson, Timothy (2003). ''Foundations of Diatonic Theory: A Mathematically Based Approach to Music Fundamentals''. Key College Publishing. ISBN 1-930190-80-8.

[[Category:Diatonic set theory]]