The Interval Angle: A Similarity Measure for Pitch-Class Sets

Over the past Thirty Years, many measures have been proposed to gauge the similarity (or, mutatis mutandis, the difference) in sound of pitch-class sets. We propose here that a very simple measure be adopted: the angle between the interval-class vectors in six-dimensional space. We call this functio...

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Veröffentlicht in:	Perspectives of new music 1998-07, Vol.36 (2), p.107-142
Hauptverfasser:	Scott, Damon, Isaacson, Eric J.
Format:	Artikel
Sprache:	eng
Schlagworte:	Major chords Major intervals Mathematical vectors Mathematics Measurement Minor chords Minor intervals Musical Analysis Musical chords Musical intervals Musicology Octaves Pitch set theory Pitch-Class Set Genera Stars
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