Identity (music)


Identity (music)

In music, identity is similar to identity in universal algebra. An identity function is a permutation or transformation which transforms a 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... [an] other kind of identity...has to do with axes of symmetry. C-E belongs to a family of symmetrically related dyads as follows:"

Thus, in addition to being part of the interval-4 family, C-E is also a part of the sum-2 family.


Wikimedia Foundation. 2010.

Look at other dictionaries:

  • Identity — may refer to:Philosophy* Identity (philosophy), the sameness of two things * Identity theory of mind, in the philosophy of mind, holds that the mind is identical to the brain * Personal identity (philosophy) * Identity (social science) * Identity …   Wikipedia

  • Music therapy — Intervention ICD 9 CM 93.84 MeSH …   Wikipedia

  • Music of Israel — …   Wikipedia

  • Music of the United States — American music redirects here. For other uses, see American music (disambiguation). Music of United States of America Timeline General topics Education · History G …   Wikipedia

  • Music of Sweden — Sweden shares the tradition of Nordic folk dance music with its neighboring countries including polka, schottische, waltz, polska and mazurka. The accordion, clarinet, fiddle and nyckelharpa are among the most common Swedish folk instruments.… …   Wikipedia

  • Music of Russia — Genres Classical Pop Rock Jazz Bard VIA Chanson Hip hop Psytrance Specific forms Religious music Bell ringing …   Wikipedia

  • Identity crisis — may refer to:In psychology: * identity crisis (psychology), an internal conflict of and search for identityIn comics:* Identity Crisis (comics), DC Comics seven issue limited series * , an eight part storyline printed in Marvel Comics Spider Man… …   Wikipedia

  • Music of Canada — General topics Portal Genres …   Wikipedia

  • Music of Finland — Karelia Sami music Humppa Kantele Genres Folk Pop Opera Rock (Suomirock) Hip hop Trance …   Wikipedia

  • Music of Pakistan — Genres Classical Ghazal Sufi Folk Qawwali Pop (Filmi …   Wikipedia