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Cool Math for Hot Music : A First Introduction to Mathematics for Music Theorists / / by Guerino Mazzola, Maria Mannone, Yan Pang
| Cool Math for Hot Music : A First Introduction to Mathematics for Music Theorists / / by Guerino Mazzola, Maria Mannone, Yan Pang |
| Autore | Mazzola Guerino |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (XV, 323 p. 179 illus., 112 illus. in color.) |
| Disciplina | 781.0151 |
| Collana | Computational Music Science |
| Soggetto topico |
Application software
Music Mathematics Computer science—Mathematics Artificial intelligence Computer Appl. in Arts and Humanities Mathematics in Music Mathematics of Computing Artificial Intelligence |
| ISBN | 3-319-42937-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part I: Introduction and Short History -- The ‘Counterpoint’ of Mathematics and Music -- Short History of the Relationship Between Mathematics and Music -- Part II: Sets and Functions -- The Architecture of Sets -- Functions and Relations -- Universal Properties -- Part III: Numbers -- Natural Numbers -- Recursion -- Natural Arithmetic -- Euclid and Normal Forms -- Integers -- Rationals -- Real Numbers -- Roots, Logarithms, and Normal Forms -- Complex Numbers -- Part IV: Graphs and Nerves -- Directed and Undirected Graphs -- Nerves -- Part V: Monoids and Groups -- Monoids -- Groups -- Group Actions, Subgroups, Quotients, and Products -- Permutation Groups -- The Third Torus and Counterpoint -- Coltrane’s Giant Steps -- Modulation Theory -- Part VI: Rings and Modules -- Rings and Fields -- Primes -- Matrices -- Modules -- Just Tuning -- Categories -- Part VII: Continuity and Calculus -- Continuity -- Differentiability -- Performance -- Gestures -- Part VIII: Solutions, References, Index -- Solutions of Exercises -- References -- Index. |
| Record Nr. | UNINA-9910255019303321 |
Mazzola Guerino
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Mathematics and Computation in Music : 7th International Conference, MCM 2019, Madrid, Spain, June 18–21, 2019, Proceedings / / edited by Mariana Montiel, Francisco Gomez-Martin, Octavio A. Agustín-Aquino
| Mathematics and Computation in Music : 7th International Conference, MCM 2019, Madrid, Spain, June 18–21, 2019, Proceedings / / edited by Mariana Montiel, Francisco Gomez-Martin, Octavio A. Agustín-Aquino |
| Edizione | [1st ed. 2019.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
| Descrizione fisica | 1 online resource (XII, 399 p. 283 illus., 51 illus. in color.) |
| Disciplina |
780.285
781.0151 |
| Collana | Lecture Notes in Artificial Intelligence |
| Soggetto topico |
Application software
Artificial intelligence Algorithms Music Computer Appl. in Arts and Humanities Artificial Intelligence Algorithm Analysis and Problem Complexity |
| ISBN | 3-030-21392-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Plenary talks -- Contrapuntal Aspects of the Mystic Chord and Scriabin’s Piano Sonata No. 5 -- ComMute—Towards a Computational Musical Theory of Everything -- Algebraic and other Abstract Mathematical Approaches to Understanding Musical Objects -- Groupoids and Wreath Products of Musical Transformations: a Categorical Approach from poly-Klumpenhouwer Networks -- Fourier Phase and Pitch-Class Sum -- Categories, Musical Instruments, and Drawings: A Unification Dream -- Tropical Generalized Interval Systems -- Shall we (math and) dance? -- Special Session: Remanaging Riemann: Mathematical Music Theory as “Experimental Philology”? -- Decontextualizing Contextual Inversion -- From Schritte and Wechsel to Coxeter Groups -- Exploring the Syntonic Side of Major-Minor Tonality -- Embedded Structural Modes: Unifying Scale Degrees and Harmonic Functions -- Non-Contextual SQZ Transformations -- The Hierarchy of Rameau Groups -- Distance Diatonic Neighbors and Inter-Diatonic Shortcuts? -- Constraint-Based Systems of Triads and Seventh Chords, and Parsimonious Voice-Leading -- Octave Division -- Distributional Analysis of n-dimensional Feature Space for 7-note Scales in 22-TET -- Filtration of pitch-class sets complexes -- Computer-based Approaches to Composition and Score Structuring -- Synesthesizer: physical modelling and machine learning for a color-based synthesizer -- Mercury ®: A software based on fuzzy clustering for computer-assisted composition -- A Parse-based Framework for Coupled Rhythm Quantization and Score Structuring -- Reinterpreting and extending Anatol Vieru’s Periodic Sequences through the Cellular Automata formalisms -- Models for Music Cognition and Beat Tracking -- Surprisal, liking, and musical affect -- Autocorrelation of Pitch-Event Vectors in Meter Finding -- The Envelopes of Consonant Intervals and Chords in Just Intonation and Equal Temperament -- Maximally Even Tilings -- Short Papers -- Distributed Vector Representations of Folksong Motifs -- Visualizing Temperaments: Squaring the Circle? -- Music corpus analysis using unwords -- Maths, Computation and Flamenco: overview and challenges -- Formalization of Voice-Leadings and the Nabla Algorithm -- Computational Music Therapy -- Special Session on the Pedagogy of Mathematical Music Theory -- Insiders’ Choice: Studying Pitch Class Sets through their Discrete Fourier Transformations -- Have Fun with Math and Music! -- Teaching Music with Mathematics: a Pilot Study -- Integrated Music and Math Projects in Secondary Education. |
| Record Nr. | UNINA-9910337560903321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Mathematics and music / David Wright
| Mathematics and music / David Wright |
| Autore | Wright, David |
| Pubbl/distr/stampa | Providence, R.I. : American Mathematical Society, c2009 |
| Descrizione fisica | xiv, 161 p. : ill. ; 26 cm |
| Disciplina | 781.0151 |
| Collana | Mathematical world ; 28 |
| Soggetto topico |
Musical intervals and scales
Music theory - Mathematics |
| ISBN |
9780821848739
0821848739 |
| Classificazione | AMS 00-01 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Basic mathematical and musical concepts ; Horizontal structure ; Harmony and related numerology ; Ratios and musical intervals ; Logarithms and musical intervals ; Chromatic scales ; Octave identification and modular arithmetic ; Algebraic properties of the integers ; The integers as intervals ; Timbre and periodic functions ; The rational numbers as musical intervals ; Tuning the scale to obtain rational intervals |
| Record Nr. | UNISALENTO-991000512069707536 |
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Wright, David
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| Providence, R.I. : American Mathematical Society, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Music Through Fourier Space : Discrete Fourier Transform in Music Theory / / by Emmanuel Amiot
| Music Through Fourier Space : Discrete Fourier Transform in Music Theory / / by Emmanuel Amiot |
| Autore | Amiot Emmanuel |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (XV, 206 p. 129 illus., 45 illus. in color.) |
| Disciplina | 781.0151 |
| Collana | Computational Music Science |
| Soggetto topico |
Application software
Music Mathematics Computer science—Mathematics User interfaces (Computer systems) Signal processing Image processing Speech processing systems Computer Appl. in Arts and Humanities Mathematics in Music Mathematics of Computing User Interfaces and Human Computer Interaction Signal, Image and Speech Processing |
| ISBN | 3-319-45581-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Discrete Fourier Transform of Distributions -- Homometry and the Phase Retrieval Problem -- Nil Fourier Coefficients and Tilings -- Saliency -- Continuous Spaces, Continuous Fourier Transform -- Phases of Fourier Coefficients. |
| Record Nr. | UNINA-9910255019703321 |
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Amiot Emmanuel
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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