Publication Cover
Journal of Mathematics and Music
Mathematical and Computational Approaches to Music Theory, Analysis, Composition and Performance
Volume 4, 2010 - Issue 3
812
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Imaginary transformations

Pages 157-171 | Received 08 Mar 2010, Accepted 30 Sep 2010, Published online: 10 Dec 2010

References

  • Mazzola , G. 2009 . Categorical gestures, the diamond conjecture, Lewin's question, and the Hammerklavier Sonata . J. Math Music , 3 : 31 – 58 .
  • Lewin , D. 1987 . Generalized Musical Intervals and Transformations , New Haven, CT : Yale University Press .
  • Dixon , J. D. and Mortimer , B. 1996 . Permutation Group Theory , New York, NY : Springer-Verlag .
  • Fiore , T. M. and Satyendra , R. 2005 . Generalized contextual groups . Music Theory Online , 11 ( 3 ) Available at http://mto.societymusictheory.org/issues/mto.05.11.3/mto.05.11.3.fiore_satyendra.pdf
  • Nielsen , M. A. and Chuang , I. L. 2000 . Quantum Computation and Quantum Information , Cambridge : Cambridge University Press .
  • Bouc , S. and Mazza , N. 2004 . The Dade group of (almost) extraspecial p-groups . J. Pure Appl. Algebra , 192 : 21 – 51 .
  • Gorenstein , D. 1980 . Finite Groups , New York : Chelsea .
  • Aschbacher , M. 1986 . Finite Group Theory , Cambridge : Cambridge University Press .
  • Hook , J. 2002 . Uniform triadic transformations , Indiana University . Ph.D. diss
  • Hook , J. 2002 . Uniform triadic transformations . J. Music Theory , 46 : 57 – 126 .
  • Douthett , J. and Peck , R. New Orleans. An Order 1152 Group of Triadic Transformations and Its Relevance to Existing Musical Theoretical Structures , Louisiana : Joint Mathematics Meeting .
  • Miller , G. A. 1930 . Determination of all the Groups of Order 96 . Ann. of Math. , (2) ( 31 ) : 163 – 168 .
  • Leedham-Green , C. R. and McKay , S. 2002 . The Structure of Groups of Prime Power Order , New Series, 27 Oxford : Oxford University Press . London Mathematical Society Monographs

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.