Trends in LIMS

In music, a transformation consists of any operation or process that may apply to a musical variable (usually a set or tone row in twelve tone music, or a melody or chord progression in tonal music), or rhythm in composition, performance, or analysis. Transformations include multiplication, rotation, permutation (i.e. transposition, inversion, and retrograde), prolation (augmentation, diminution) and combinations thereof.

Transformations may also be applied to simpler or more complex variables such as interval and spectrum or timbre.

References

^ Schuijer, Michiel (2008). Analyzing Atonal Music, p.52-54. ISBN 978-1-58046-270-9.

Musical set theory
All-interval tetrachord All-trichord hexachord Complement Forte number Identity Interval class Interval vector Multiplication Permutation Pitch class Pitch interval Pitch-interval class Set List Similarity relation Transformation Z-relation
Diatonic set theory	Bisector Cardinality equals variety Common tone (Deep scale property) Diatonic scale Generated collection Generic and specific intervals (Myhill's property) Maximal evenness Rothenberg propriety Structure implies multiplicity