A new perspective on David Lewin's interval function : the symmetrical IFUNC array

Cardinal Scholar

Show simple item record

dc.contributor.advisor Trawick, Eleanor, 1965-
dc.contributor.author Wagner, Samantha J.
dc.date.accessioned 2012-06-01T16:03:14Z
dc.date.available 2012-06-01T16:03:14Z
dc.date.created 2012-05-05
dc.date.issued 2012-05-05
dc.identifier.uri http://cardinalscholar.bsu.edu/handle/123456789/195957
dc.description.abstract This paper expands on the work of David Lewin, whose seminal work Generalized Musical Intervals and Transformations proposes, among other functions, the interval function or IFUNC. The interval function catalogs the type and number of directed pitchclass intervals between two different pitch-class sets. This paper proposes the concept of the IFUNC array, an ordered sequence of twelve digits representing the IFUNC values for an interval i = 0–11, reading either left to right or clockwise around a circle. It explores features of the interval function, including symmetry in the IFUNC array, and includes analysis of several excerpts from Anton Webern’s early atonal works. The paper addresses axes of symmetry, both in pitch-class sets and in interval functions.
dc.description.sponsorship School of Music
dc.subject.lcsh Musical intervals and scales.
dc.subject.lcsh Music theory -- History -- 21st century.
dc.title A new perspective on David Lewin's interval function : the symmetrical IFUNC array en_US
dc.description.degree Thesis (M.M.)
dc.identifier.cardcat-url http://liblink.bsu.edu/catkey/1671229

Files in this item

This item appears in the following Collection(s)

  • Master's Theses [5454]
    Master's theses submitted to the Graduate School by Ball State University master's degree candidates in partial fulfillment of degree requirements.

Show simple item record

Search Cardinal Scholar


My Account