Square Dance Moves and Twelve-Tone Operators: Isomorphisms and New Transformational Models

Nancy M. Rogers and Michael H. Buchler



KEYWORDS: square dance, dance, twelve-tone, transformation, operation, isomorphism, model, Berg, Lulu

ABSTRACT: Both twelve-tone composers and square dance callers use systematic permutations in order to balance variety with familiarity. This paper demonstrates connections between musical and square dance transformations, illustrating some ways in which the two disciplines might inform each other. With nearly seventy moves in the primary or "mainstream" program and a hundred in the more advanced "plus" program, square dance calls could not only augment music theorists' repertoire of transformational devices, but could help expand our fundamental notions of musical transformation. Indeed, non-canonical operations that are considered complex in atonal music theory (such as O'Donnell's split transformations, Mead's Oz, and even Klumpenhouwer's networks) can be modeled by moves that are customary even at the easiest levels of square dance.

PDF text
Received July 2003
Volume 9, Number 4, October 2003
Copyright © 2003 Society for Music Theory


[1] TEXT GOES HERE

    Return to beginning    



Nancy M. Rogers
Florida State University
School of Music
Tallahassee, FL 32306-1180
Nancy.Rogers@music.fsu.edu

Michael H. Buchler
Florida State University
School of Music
Tallahassee, FL 32306-1180
Michael.Buchler@music.fsu.edu

    Return to beginning    



Works Cited

FULL CITATION

FULL CITATION

FULL CITATION

FULL CITATION

FULL CITATION

FULL CITATION

FULL CITATION

FULL CITATION

FULL CITATION

FULL CITATION

FULL CITATION

FULL CITATION

FULL CITATION

FULL CITATION

FULL CITATION

FULL CITATION

FULL CITATION

FULL CITATION

FULL CITATION

FULL CITATION

    Return to beginning    



Footnotes

1. FOOTNOTE
Return to text

2. FOOTNOTE
Return to text

3. FOOTNOTE
Return to text

4. FOOTNOTE
Return to text

5. FOOTNOTE
Return to text

6. FOOTNOTE
Return to text

7. FOOTNOTE
Return to text

8. FOOTNOTE
Return to text

9. FOOTNOTE
Return to text

10. FOOTNOTE
Return to text

FOOTNOTE
FOOTNOTE
FOOTNOTE
FOOTNOTE
FOOTNOTE
FOOTNOTE
FOOTNOTE
FOOTNOTE
FOOTNOTE
FOOTNOTE
    Return to beginning    



Copyright Statement

Copyright © 2003 by the Society for Music Theory. All rights reserved.

[1] Copyrights for individual items published in Music Theory Online (MTO) are held by their authors. Items appearing in MTO may be saved and stored in electronic or paper form, and may be shared among individuals for purposes of scholarly research or discussion, but may not be republished in any form, electronic or print, without prior, written permission from the author(s), and advance notification of the editors of MTO.

[2] Any redistributed form of items published in MTO must include the following information in a form appropriate to the medium in which the items are to appear:

This item appeared in Music Theory Online in [VOLUME #, ISSUE #] on [DAY/MONTH/YEAR]. It was authored by [FULL NAME, EMAIL ADDRESS], with whose written permission it is reprinted here.

[3] Libraries may archive issues of MTO in electronic or paper form for public access so long as each issue is stored in its entirety, and no access fee is charged. Exceptions to these requirements must be approved in writing by the editors of MTO, who will act in accordance with the decisions of the Society for Music Theory.

This document and all portions thereof are protected by U.S. and international copyright laws. Material contained herein may be copied and/or distributed for research purposes only.

    Return to beginning    


                                                                                                                                                                                                                                                                                                                                                                                                       
SMT

Prepared by Brent Yorgason, Managing Editor and Tahirih Motazedian, Editorial Assistant