Mathematics and Computation in Music

I. Mathematical Modeling and Computation in Music

1. Rhythm and Transforms, Perception and Mathematics
William A. Sethares

2. Visible Humour — Seeing P.D.Q. Bach’s Musical Humour Devices in The Short-Tempered Clavier on the Spiral Array Space
Elaine Chew, Alexandre François

3. Category-Theoretic Consequences of Denotators as a Universal Data Format
Gérard Milmeister

4. Normal Form, Successive Interval Arrays, Transformations and Set Classes: A Re-evaluation and Reintegration
Ciro Scotto

5. A Model of Musical Motifs
Torsten Anders

6. Melodic Clustering within Motivic Spaces: Visualization in OpenMusic and Application to Schumann’s Träumerei

Chantal Buteau, John Vipperman

7. Topological Features of the Two-Voice Inventions
Kamil Adiloĝlu, Klaus Obermayer

8. Comparing Computational Approaches to Rhythmic and Melodic Similarity in Folksong Research
Anja Volk, Jörg Garbers, Peter Kranenburg, Frans Wiering, Louis Grijp, Remco C. Veltkamp

9. Automatic Modulation Finding Using Convex Sets of Notes
Aline Honingh

10. On Pitch and Chord Stability in Folk Song Variation Retrieval
Jörg Garbers, Anja Volk, Peter Kranenburg, Frans Wiering, Louis P. Grijp, Remco C. Veltkamp

11. Bayesian Model Selection for Harmonic Labelling
Christophe Rhodes, David Lewis, Daniel Müllensiefen

12. The Flow of Harmony as a Dynamical System
Peter Gies

13. Tonal Implications of Harmonic and Melodic Tn-Types
Richard Parncutt

14. Calculating Tonal Fusion by the Generalized Coincidence Function
Martin Ebeling

15. Predicting Music Therapy Clients’ Type of Mental Disorder Using Computational Feature Extraction and Statistical Modelling Techniques
Geoff Luck, Olivier Lartillot, Jaakko Erkkilä, Petri Toiviainen, Kari Riikkilä

16. Nonlinear Dynamics, the Missing Fundamental, and Harmony
Julyan H. E. Cartwright, Diego L. González, Oreste Piro

17. Dynamic Excitation Impulse Modification as a Foundation of a Synthesis and Analysis System for Wind Instrument Sounds
Michael Oehler, Christoph Reuter

18. Non-linear Circles and the Triple Harp: Creating a Microtonal Harp
Eleri Angharad Pound

19. Applying Inner Metric Analysis to 20th Century Compositions
Anja Volk

20. Tracking Features with Comparison Sets in Scriabin’s Study op. 65/3
Atte Tenkanen

21. Computer Aided Analysis of Xenakis-Keren
Kamil Adiloĝlu, G. Ada Tanir

22. Automated Extraction of Motivic Patterns and Application to the Analysis of Debussy’s Syrinx

Olivier Lartillot

23. Pitch Symmetry and Invariants in Webern’s Sehr Schnell from Variations Op.27

Elaine Chew

24. Computational Analysis Workshop: Comparing Four Approaches to Melodic Analysis
Chantal Buteau, Kamil Adiloĝlu, Olivier Lartillot, Christina Anagnostopoulou

25. Computer-Aided Investigation of Chord Vocabularies: Statistical Fingerprints of Mozart and Schubert
Eva Ferková, Milan Zdímal, Peter Sidlík

26. The Irrelative System in Tonal Harmony
Miroslaw Majchrzak

II. Mathematical Approaches to Music Analysis and Composition

27. Mathematics and the Twelve-Tone System: Past, Present, and Future
Robert Morris

28. Approaching Musical Actions
John Rahn

29. A Transformational Space for Elliott Carter’s Recent Complement-Union Music
John Roeder

30. Networks
Tom Johnson

31. From Mathematica to Live Performance: Mapping Simple Programs to Music
Katarina Miljkovic

32. Nonlinear Dynamics of Networks: Applications to Mathematical Music Theory
Jonathan Owen Clark

33. Form, Transformation and Climax in Ruth Crawford Seeger’s String Quartet, Mvmt. 3
Edward Gollin

34. A Local Maximum Phrase Detection Method for Analyzing Phrasing Strategies in Expressive Performances
Eric Cheng, Elaine Chew

35. Subgroup Relations among Pitch-Class Sets within Tetrachordal K-Families
Jerry G. Ianni, Lawrence B. Shuster

36. K-Net Recursion in Perlean Hierarchical Structure
Gretchen C. Foley

37. Webern’s Twelve-Tone Rows through the Medium of Klumpenhouwer Networks
Catherine Nolan

38. Isographies of Pitch-Class Sets and Set Classes
Tuukka Ilomäki

39. The Transmission of Pythagorean Arithmetic in the Context of the Ancient Musical Tradition from the Greek to the Latin Orbits During the Renaissance: A Computational Approach of Identifying and Analyzing the Formation of Scales in the De Harmonia Musicorum Instrumentorum Opus (Milan, 1518) of Franchino Gaffurio (1451–1522)
Herbert Kreyszig, Walter Kreyszig

40. Combinatorial and Transformational Aspects of Euler’s Speculum Musicum

Edward Gollin

41.
Structures Ia Pour Deux Pianos by Boulez: Towards Creative Analysis Using OpenMusic and Rubato
Yun-Kang Ahn, Carlos Agon, Moreno Andreatta

42. The Sieves of Iannis Xenakis
Dimitris Exarchos

43. Tonal, Atonal and Microtonal Pitch-Class Categories
Fernando Gualda

44. Using Mathematica to Compose Music and Analyze Music with Information Theory
Christopher W. Kulp, Dirk Schlingmann

III. Mathematical Approaches to Music Theory

45. A Diatonic Chord with Unusual Voice-Leading Capabilities
Norman Carey

46. Mathematical and Musical Properties of Pairwise Well-Formed Scales
David Clampitt

47. Eine Kleine Fourier Musik
Emmanuel Amiot

48. WF Scales, ME Sets, and Christoffel Words
Manuel Domínguez, David Clampitt, Thomas Noll

49. Interval Preservation in Group- and Graph-Theoretical Music Theories: A Comparative Study
Robert Peck

50. Pseudo-diatonic Scales
Franck Jedrzejewski

51. Affinity Spaces and Their Host Set Classes
José Oliveira Martins

52. The Step-Class Automorphism Group in Tonal Analysis
Jason Yust

53. A Linear Algebraic Approach to Pitch-Class Set Genera
Atte Tenkanen

Keywords: Computer Science, Computer Appl. in Arts and Humanities, Music, Algebra, Interdisciplinary Studies, Discrete Mathematics in Computer Science, Data Structures