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Cool Math for Hot Music [[electronic resource] ] : A First Introduction to Mathematics for Music Theorists / / by Guerino Mazzola, Maria Mannone, Yan Pang
| Cool Math for Hot Music [[electronic resource] ] : 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 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 [[electronic resource] ] : Discrete Fourier Transform in Music Theory / / by Emmanuel Amiot
| Music Through Fourier Space [[electronic resource] ] : 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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