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Journal of Mathematics and Music
Mathematical and Computational Approaches to Music Theory, Analysis, Composition and Performance
Volume 12, 2018 - Issue 3: Music and Combinatorics on Words
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Articles

Combinatorics of words and morphisms in some pieces of Tom Johnson

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Pages 248-257 | Received 23 Apr 2018, Accepted 11 Sep 2018, Published online: 03 May 2019

References

  • Allouche, J.-P., and V. Berthé 1994. “Triangle de Pascal, Complexité et Automates.” Bulletin of the Belgian Mathematical Society – Simon Stevin 4: 1–23.
  • Allouche, J.-P., F. M. Dekking, and M. Queffélec 2018. “On Some Automatic and Morphic Sequences in the OEIS”, in preparation.
  • Allouche, J.-P., and T. Johnson 1995a. “Finite Automata and Morphisms in Assisted Musical Composition.” Journal of New Music Research 24: 97–108. doi: 10.1080/09298219508570676
  • Allouche, J.-P., and T. Johnson 1995b. “Narayana's Cows and Delayed Morphisms.” 3èmes Journées d'Informatique Musicale (JIM '96), Ile de Tatihou 2–7.
  • Allouche, J.-P., and J. Shallit 2003. Automatic Sequences. Theory, Applications, Generalizations. Cambridge: Cambridge University Press.
  • Feldman, D 1998. “Review of Self-Similar Melodies by Tom Johnson.” Leonardo Music Journal, Ghosts and Monsters: Technology and Personality in Contemporary Music 8: 80–84. doi: 10.2307/1513412
  • Johnson, T. 1986. Le Catalogue des Accords. Score available at http://www.editions75.com/FreeScores/TheChordCatalogue.pdf.
  • Johnson, T. 1994. Formulas for String Quartet. Score published by Éditions 75, 75 rue de la Roquette, 75011 Paris, and Two-Eighteen Press, POB 218, 5004 Applewood Circle, Carmel NY 10512–2640.
  • Johnson, T. 1996. Self-similar Melodies. Éditions 75, 75 rue de la Roquette, 75011 Paris, and Two-Eighteen Press, POB 218, 5004 Applewood Circle, Carmel NY 10512–2640.
  • Johnson, T. 2006. “Self-Similar Structures in My Music: An Inventory”, talk given a IRCAM. http://repmus.ircam.fr/_media/mamux/saisons/saison06-2006-2007/johnson-2006-10-14.pdf.
  • Johnson, T. 2018. Doublings. (New more general version of Doublings for Double Bass) Éditions 75, 75 rue de la Roquette, 75011 Paris, and Two-Eighteen Press, POB 218, 5004 Applewood Circle, Carmel NY 10512–2640.
  • Johnson, T., and R. Farabet 1995. “France Culture, Atelier de Création Radiophonique,” Le triangle de Pascal, edited by Tom Johnson and René Farabet, with Jean-Paul Allouche and Bernadette Le Saché, 12 February 1995.
  • Johnson, T., and S. Vriezen 2013. The Chord Catalogue Within Fourths Within Fifths. CD, Edition Wandelweiser, Ref: EWR 1304.
  • Peters, T. 2017. “Failing.” In Plucking, edited by T. Johnson. Microfest Records.
  • Rozenberg, G., and A. Lindenmayer 1973. “Developmental Systems with Locally Catenative Formulas.” Acta Informatica 2: 214–248. doi: 10.1007/BF00289079
  • Shallit, J 1988. “A Generalization of Automatic Sequences.” Theoretical Computer Science 61: 1–16. doi: 10.1016/0304-3975(88)90103-X
  • Sloane, N. J. A. (founded by). 1964. On-Line Encyclopedia of Integer Sequences. Electronically available at http://oeis.org.

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