By Edward Pearsall
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Additional info for Twent centry music theory and practice
The ordered pitch set contains six different pitches and presents each pitch -in the order it occurs. The ordered pc set also presents the notes in the order they occur,abutrcontains t 47, a piece we will8). The unordered pitch set contains the same pitches as the orderedepitch set, bet a repeated pc (pc presents them bottom-to-top. 5 is texturally more complex than those we have observed so far. Yet, each ne pitch content differs. Both melodies, on the other hand, do articulate the same ordered succession of to blend seamlessly with those around it.
Indeed, a set's interval content is often its most c) as its salient feature. The succession of intervals between consecutive pitches or pcs in a set is known adjacency interval series (AIS). The adjacency interval series for unordered pc sets consists of unordered pitch-class intervals (ics). 2 illustrates, inversion reverses the order of the intervals in the adjacency interval series. Don't allow integers to keep you from visualizing inversion in more, familiar terms. 3, for example, shows how inversion produces a mirror image of [I, 3, 5, 81 on the piano keyboard (a), alto clef staff (b), and mod 12 clock-face (c).
1=Al 4 1g r n. : Vi. 2 rz ao mr vE Via. I I t M i - •••••••73,,r " • s = 1 • X oo 1 8 " . o. 1 E cell y . 16 Transpositional Combination o o m i r n s i n g e g E r r s o w i a fragment +4 semitones =EP 1 cell y z-cell x-cell +2 semitones 61 Pitch and Interval and Interval I +6 semitones 2) Substitute integers for the following letter names. a)GII 0 G4 b) Ct g ) D II c) A h ) d) ELI. , C I/5) for the following integers. As C4and is O. As the analyses in this chapter suggest, our comprehension of music does not rely solely on pitches intervals in isolation.