Dictionary of Meaning
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Identity (music)
*** Shopping-Tip: Identity (music)
In
music, '''identity''' is similar to identity in
universal algebra. An
identity function is a
Permutation (music) permutation or
Transformation (music) transformation which transforms a
Pitch (music) pitch or
pitch class set into itself. For instance, inverting an
augmented triad or C4
interval cycle, 048, produces itself, 084. Performing a retrograde operation upon the
pitch class set 01210 produces 01210.
In addition to being a property of a specific set,
identity is, by extension, the "family" of sets or set forms which satisfy a possible identity.
George Perle provides the following example:
:"C-E, D-F#, Eb-G, are different instances of the same
interval (music) interval...[an] other kind of identity...has to do with axes of symmetry. C-E belongs to a family of symmetrically related dyads as follows:"
{|
|D
|
|D#
|
|E
|
|F
|
|F#
|
|G
|
|G#
|-
|D
|
|C#
|
|C
|
|B
|
|A#
|
|A
|
|G#
|}
Thus in addition to being part of the interval-4 family, C-E is also a part of the sum-2 family.
Category:Musical terminology
