Mathematical music theory: algebraic, geometric, combinatorial, topological and applied approaches to understanding musical phenomena
"Questions about variation, similarity, enumeration, and classification of musical structures have long intrigued both musicians and mathematicians. Mathematical models can be found from theoretical analysis to actual composition or sound production. Increasingly in the last few decades, musica...
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Publishing Company Pte Limited
2019
|
| Schlagworte: | |
| Online-Zugang: | UBY01 Volltext |
| Zusammenfassung: | "Questions about variation, similarity, enumeration, and classification of musical structures have long intrigued both musicians and mathematicians. Mathematical models can be found from theoretical analysis to actual composition or sound production. Increasingly in the last few decades, musical scholarship has incorporated modern mathematical content. One example is the application of methods from Algebraic Combinatorics, or Topology and Graph Theory, to the classification of different musical objects. However, these applications of mathematics in the understanding of music have also led to interesting open problems in mathematics itself. The reach and depth of the contributions on mathematical music theory presented in this volume is significant. Each contribution is in a section within these subjects: (i) Algebraic and Combinatorial Approaches; (ii) Geometric, Topological, and Graph-Theoretical Approaches; and (iii) Distance and Similarity Measures in Music."-- |
| Beschreibung: | Includes bibliographical references and index From musical chords to twin primes / Jack Douthett, David Clampitt and Norman Carey -- Hypercubes and the generalized Cohn cycle / Jack Douthett, Peter Steinbach and Rick Hermann -- Associahedra, combinatorial block designs and related structures / Franck Jedrezejewski -- Rythmic and melodic l-canons / Jeremy Kastine -- The Fibonacci sequence es metric suspension in Luigi Nono's Il canto sospeso / Jon Kochavi -- Note samba : navigating notes and their meanings within modes and exo-modes / Thomas Noll -- Difference sets and all-directed-interval chords / Robert W. Peck -- Harmonious opposition / Richard Plotkin -- Orbifold path models for voice leading : dealing with doubling / James R. Hughes -- Remarks on the geometry of chords / Thomas A. Ivey -- Theoretical physics and category theory as tools for analysis of musical performance and composition / Maria Mannone -- Intuitive musical homotopy / Aditya Sivakumar and Dmitri Tymoczko -- Geometric generalizations of the Tonnetz and their relation to Fourier phases space / Jason Yust -- Deterministic geometries : a technique for the systematic generation of musical elements in composition / Brent A. Milam -- Flamenco music and its computational study / Francisco Gómez -- Examining fixed and relative similarity metrics through jazz melodies / David J. Baker and Daniel Shanahan -- In search of arcs of prototypicality / Daniel Shanahan |
| Beschreibung: | 1 online resource (371 pages) illustrations (some color) |
| ISBN: | 9789813235311 |
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| 500 | |a From musical chords to twin primes / Jack Douthett, David Clampitt and Norman Carey -- Hypercubes and the generalized Cohn cycle / Jack Douthett, Peter Steinbach and Rick Hermann -- Associahedra, combinatorial block designs and related structures / Franck Jedrezejewski -- Rythmic and melodic l-canons / Jeremy Kastine -- The Fibonacci sequence es metric suspension in Luigi Nono's Il canto sospeso / Jon Kochavi -- Note samba : navigating notes and their meanings within modes and exo-modes / Thomas Noll -- Difference sets and all-directed-interval chords / Robert W. Peck -- Harmonious opposition / Richard Plotkin -- Orbifold path models for voice leading : dealing with doubling / James R. Hughes -- Remarks on the geometry of chords / Thomas A. Ivey -- Theoretical physics and category theory as tools for analysis of musical performance and composition / Maria Mannone -- Intuitive musical homotopy / Aditya Sivakumar and Dmitri Tymoczko -- Geometric generalizations of the Tonnetz and their relation to Fourier phases space / Jason Yust -- Deterministic geometries : a technique for the systematic generation of musical elements in composition / Brent A. Milam -- Flamenco music and its computational study / Francisco Gómez -- Examining fixed and relative similarity metrics through jazz melodies / David J. Baker and Daniel Shanahan -- In search of arcs of prototypicality / Daniel Shanahan | ||
| 520 | |a "Questions about variation, similarity, enumeration, and classification of musical structures have long intrigued both musicians and mathematicians. Mathematical models can be found from theoretical analysis to actual composition or sound production. Increasingly in the last few decades, musical scholarship has incorporated modern mathematical content. One example is the application of methods from Algebraic Combinatorics, or Topology and Graph Theory, to the classification of different musical objects. However, these applications of mathematics in the understanding of music have also led to interesting open problems in mathematics itself. The reach and depth of the contributions on mathematical music theory presented in this volume is significant. Each contribution is in a section within these subjects: (i) Algebraic and Combinatorial Approaches; (ii) Geometric, Topological, and Graph-Theoretical Approaches; and (iii) Distance and Similarity Measures in Music."-- | ||
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| dewey-ones | 781 - General principles and musical forms |
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| spelling | Mathematical music theory algebraic, geometric, combinatorial, topological and applied approaches to understanding musical phenomena editors, Mariana Montiel, Robert W. Peck Singapore World Scientific Publishing Company Pte Limited 2019 1 online resource (371 pages) illustrations (some color) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index From musical chords to twin primes / Jack Douthett, David Clampitt and Norman Carey -- Hypercubes and the generalized Cohn cycle / Jack Douthett, Peter Steinbach and Rick Hermann -- Associahedra, combinatorial block designs and related structures / Franck Jedrezejewski -- Rythmic and melodic l-canons / Jeremy Kastine -- The Fibonacci sequence es metric suspension in Luigi Nono's Il canto sospeso / Jon Kochavi -- Note samba : navigating notes and their meanings within modes and exo-modes / Thomas Noll -- Difference sets and all-directed-interval chords / Robert W. Peck -- Harmonious opposition / Richard Plotkin -- Orbifold path models for voice leading : dealing with doubling / James R. Hughes -- Remarks on the geometry of chords / Thomas A. Ivey -- Theoretical physics and category theory as tools for analysis of musical performance and composition / Maria Mannone -- Intuitive musical homotopy / Aditya Sivakumar and Dmitri Tymoczko -- Geometric generalizations of the Tonnetz and their relation to Fourier phases space / Jason Yust -- Deterministic geometries : a technique for the systematic generation of musical elements in composition / Brent A. Milam -- Flamenco music and its computational study / Francisco Gómez -- Examining fixed and relative similarity metrics through jazz melodies / David J. Baker and Daniel Shanahan -- In search of arcs of prototypicality / Daniel Shanahan "Questions about variation, similarity, enumeration, and classification of musical structures have long intrigued both musicians and mathematicians. Mathematical models can be found from theoretical analysis to actual composition or sound production. Increasingly in the last few decades, musical scholarship has incorporated modern mathematical content. One example is the application of methods from Algebraic Combinatorics, or Topology and Graph Theory, to the classification of different musical objects. However, these applications of mathematics in the understanding of music have also led to interesting open problems in mathematics itself. The reach and depth of the contributions on mathematical music theory presented in this volume is significant. Each contribution is in a section within these subjects: (i) Algebraic and Combinatorial Approaches; (ii) Geometric, Topological, and Graph-Theoretical Approaches; and (iii) Distance and Similarity Measures in Music."-- Music / Mathematics Music theory / Mathematics Musical analysis Electronic books Mathematik (DE-588)4037944-9 gnd rswk-swf Musik (DE-588)4040802-4 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Musik (DE-588)4040802-4 s Mathematik (DE-588)4037944-9 s DE-604 Montiel, Mariana Sonstige oth Peck, Robert William 1963- Sonstige oth Erscheint auch als Druck-Ausgabe 9789813235304 https://www.worldscientific.com/worldscibooks/10.1142/10858 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Mathematical music theory algebraic, geometric, combinatorial, topological and applied approaches to understanding musical phenomena Music / Mathematics Music theory / Mathematics Musical analysis Electronic books Mathematik (DE-588)4037944-9 gnd Musik (DE-588)4040802-4 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4040802-4 (DE-588)4143413-4 |
| title | Mathematical music theory algebraic, geometric, combinatorial, topological and applied approaches to understanding musical phenomena |
| title_auth | Mathematical music theory algebraic, geometric, combinatorial, topological and applied approaches to understanding musical phenomena |
| title_exact_search | Mathematical music theory algebraic, geometric, combinatorial, topological and applied approaches to understanding musical phenomena |
| title_exact_search_txtP | Mathematical music theory algebraic, geometric, combinatorial, topological and applied approaches to understanding musical phenomena |
| title_full | Mathematical music theory algebraic, geometric, combinatorial, topological and applied approaches to understanding musical phenomena editors, Mariana Montiel, Robert W. Peck |
| title_fullStr | Mathematical music theory algebraic, geometric, combinatorial, topological and applied approaches to understanding musical phenomena editors, Mariana Montiel, Robert W. Peck |
| title_full_unstemmed | Mathematical music theory algebraic, geometric, combinatorial, topological and applied approaches to understanding musical phenomena editors, Mariana Montiel, Robert W. Peck |
| title_short | Mathematical music theory |
| title_sort | mathematical music theory algebraic geometric combinatorial topological and applied approaches to understanding musical phenomena |
| title_sub | algebraic, geometric, combinatorial, topological and applied approaches to understanding musical phenomena |
| topic | Music / Mathematics Music theory / Mathematics Musical analysis Electronic books Mathematik (DE-588)4037944-9 gnd Musik (DE-588)4040802-4 gnd |
| topic_facet | Music / Mathematics Music theory / Mathematics Musical analysis Electronic books Mathematik Musik Aufsatzsammlung |
| url | https://www.worldscientific.com/worldscibooks/10.1142/10858 |
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