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List of musical scales and modes Name Image Sound Degrees Intervals Integer notation # of pitch classes Lower tetrachord Upper tetrachord Use of key signature usual or unusual 15 equal temperament: 15-tet scale on C. Play ⓘ — — — 15 — — — 16 equal temperament: 16-tet scale on C. Play ⓘ — — — 16 — — 17 equal temperament ...
This is a list of set classes, by Forte number. [1] A set class (an abbreviation of pitch-class-set class) in music theory is an ascending collection of pitch classes, transposed to begin at zero. For a list of ordered collections, see: list of tone rows and series. Sets are listed with links to their complements. The prime form of ...
A scale is a related set of pitches (not necessarily exact) that can be used as a compositional unit. It differs from a tuning or temperament since the latter is a system for tuning an instrument. The chromatic scale can be played in Pythagorean tuning , meantone temperament , or 12-tone equal temperament , or indeed many different types of ...
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This is not so of the modes of limited transposition, which can be modally shifted only a limited number of times. For example, mode 1, the whole tone scale, contains the intervals tone, tone, tone, tone, tone, tone. Starting on any degree of the mode gives the same sequence of intervals, and therefore the whole tone scale has only 1 mode.
The common tone theorem describes that scales possessing the deep scale property share a different number of common tones for every different transposition of the scale, suggesting an explanation for the use and usefulness of the diatonic collection. [1] In contrast, the whole tone scale's interval vector contains:
All Set [76] [77] 1957 6–7 6–7 second-order all-combinatorial hexachord: I: 0 8 7 1 6 2 5 9 e t 3 4: P: 0 4 5 t 7 6 1 8 e 2 9 3: 4 1 5 3 1 5 5 3 3 5 6: Karlheinz Stockhausen: "Gemini", from Tierkreis [63] 1974–75 6-Z41 6-Z12 — I: 0 8 7 2 5 6 e 4 1 t 3 9: P: 0 4 8 9 3 2 t e 7 6 5 1: 4 4 1 6 1 4 1 4 1 1 4: Robert Moevs:
"Mirror forms", P, R, I, and RI, of a tone row (from Arnold Schoenberg's Variations for Orchestra Op. 31, "Called mirror forms because...they are identical". [1]In music, a tone row or note row (German: Reihe or Tonreihe), also series or set, [2] is a non-repetitive ordering of a set of pitch-classes, typically of the twelve notes in musical set theory of the chromatic scale, though both ...