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Journal of Mathematics and Music
Mathematical and Computational Approaches to Music Theory, Analysis, Composition and Performance
Volume 1, 2007 - Issue 2: The legacy of John Clough in mathematical music theory
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Original Articles

Musical intervals and special linear transformations

Thomas Noll Pfarrstr. 6, D-04860, Torgau, GermanyCorrespondence[email protected]
Pages 121-137 | Received 27 May 2006, Published online: 01 Aug 2007

Citations (23)

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Konstantin L. Gurin. (2023) A different kind of meantone temperament and a novel mapping from the harmonic series to Pythagorean pitch classes. Journal of Mathematics and Music 17:3, pages 487-513.
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Rafael Cubarsi. (2023) On the divisions of the octave in generalized Pythagorean scales and their bidimensional representation. Journal of Mathematics and Music 0:0, pages 1-19.
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Alexandre Popoff. (2022) On the use of relational presheaves in transformational music theory. Journal of Mathematics and Music 16:1, pages 51-79.
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Peter beim Graben & Maria Mannone. (2020) Musical pitch quantization as an eigenvalue problem. Journal of Mathematics and Music 14:3, pages 329-346.
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Rafael Cubarsi. (2020) An alternative approach to generalized Pythagorean scales. Generation and properties derived in the frequency domain. Journal of Mathematics and Music 14:3, pages 266-291.
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Daniel Harasim, Stefan E. Schmidt & Martin Rohrmeier. (2020) Axiomatic scale theory. Journal of Mathematics and Music 14:3, pages 223-244.
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Maria Bras-Amorós. (2020) Increasingly Enumerable Submonoids of : Music Theory as a Unifying Theme. The American Mathematical Monthly 127:1, pages 33-44.
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Srečko Brlek, Marc Chemillier & Christophe Reutenauer. (2018) Music and combinatorics on words: a historical survey. Journal of Mathematics and Music 12:3, pages 125-133.
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Daniel Harasim, Stefan E. Schmidt & Martin Rohrmeier. (2016) Bridging scale theory and geometrical approaches to harmony: the voice-leading duality between complementary chords. Journal of Mathematics and Music 10:3, pages 193-209.
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Marco Castrillón López & Manuel Domínguez Romero. (2016) LR property of non-well-formed scales. Journal of Mathematics and Music 10:1, pages 18-35.
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Hermann Heßling. (2011) On the Euler scale and the μEuclidean integer relation algorithm. Journal of Mathematics and Music 5:3, pages 195-215.
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Thomas Noll. (2009) Ionian theorem. Journal of Mathematics and Music 3:3, pages 137-151.
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Franck Jedrzejewski. (2008) Generalized diatonic scales. Journal of Mathematics and Music 2:1, pages 21-36.
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Articles from other publishers (10)

Celina Richter & Stefan E. Schmidt. 2021. Proceedings of the Worldwide Music Conference 2021. Proceedings of the Worldwide Music Conference 2021 18 26 .
Håkan Lennerstad. (2019) The n-dimensional Stern–Brocot tree. International Journal of Number Theory 15:06, pages 1219-1236.
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Igor Potapov & Pavel Semukhin. (2019) Vector and scalar reachability problems in . Journal of Computer and System Sciences 100, pages 30-43.
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Sang-Ki Ko & Igor Potapov. 2017. Theory and Applications of Models of Computation. Theory and Applications of Models of Computation 373 388 .
Sang-Ki Ko & Igor Potapov. 2017. SOFSEM 2017: Theory and Practice of Computer Science. SOFSEM 2017: Theory and Practice of Computer Science 268 279 .
J. N. Hooker. 2016. Principles and Practice of Constraint Programming. Principles and Practice of Constraint Programming 753 768 .
David Clampitt & Thomas Noll. (2011) Modes, the Height-Width Duality, and Handschin’s Tone Character. Music Theory Online 17:1.
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Thomas Noll. (2010) Two notions of well-formedness in the organization of musical pitch. Musicae Scientiae 14:1_suppl, pages 95-113.
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Franck Jedrzejewski. 2009. Mathematics and Computation in Music. Mathematics and Computation in Music 493 498 .
Manuel Domínguez, David Clampitt & Thomas Noll. 2009. Mathematics and Computation in Music. Mathematics and Computation in Music 477 488 .

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