Mathematics and music : composition, perception, and performance /: composition, perception, and performance. (2019)

• Record Type: Book
• Further Information: Note: James S. Walker, Gary Don.
• Authors: Walker, James S; Don, Gary W
• Contents: Pitch, Frequency, and Musical Scales Pitch and Frequency Overtones, Pitch Equivalence, and Musical Scales The 12-Tone Equal Tempered Scale Musical Scales within the Chromatic Scale Logarithms ; Basic Musical Notation Staff Notation, Clefs, and Note Positions Time Signatures and Tempo Key Signatures and the Circle of Fifths ; Some Music Theory Interval and Chords Diatonic Music Diatonic Transformations – Scale Shifts Diatonic Transformations – Inversions, Retrograde Chromatic Transformation Composing Your Own Music Web Resources ; Spectrograms and Musical Tones Musical Gestures in Spectrograms Mathematical Model for Musical Tones Modeling Instrumental Tones Beating and Dissonance Estimating Amplitude and Frequency Windowing the Waveform: Spectrograms A Deeper Study of Amplitude Estimation Spectrograms and Music Singing; Instrumentals; Compositions; Evaluating Personal Performance; Essay Analyzing Pitch and Rhythm Geometry of Pitch Organization and Transpositions Geometry of Chromatic Inversions Cyclic Rhythms Rhythmic Inversion A Case Study in Rhythm: Bruch’s Lok Nidrei Construction of Scales and Cyclic Rhythms Perfectly Balanced Rhythms, XronoMorph XronoMoprh, Well-formed Rhythms; Comparing Musical Scales and Cyclic Rhythms Serialism Composing Your Own Music II A Geometry of Harmony Riemann’s Chromatic Inversions A Network of Triadic Chords Embedding Pitch Classes with the Tonnetz Other Chordal Transformations Tonnetz Patterns in Music Audio Synthesis in Music Creating New Music from Spectrograms Phase Vocoding How Auto-Tune Works Time Stretching and Time Shrinking MIDI Synthesis Software and Other Resources Exercise Solutions Amplitude and Frequency Results Complex Numbers Autocorrelation and Periodicity Music Software Glossary
• Edition: Second edition
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2019
• Extent: 1 online resource, illustrations (black and white, and colour)
• Subjects: 780.051; Music -- Mathematics; Musical notation
• Languages: English
• ISBNs: 9780429013553; 9780429013560; 9780429013546; 9780429506185
• Related ISBNs: 9781138584945; 9781138584167
• Notes: Note: Description based on CIP data; resource not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.