music theory

Appears in 60 extracted records.

Back to Domains.

Representative papers

• The Poetics of Mathematics in Music (1998)
• The Mathematics of the Just Intonation Used in the Music of Terry Riley (1999)
• Music, Mathematics, and Magnetic Ordering (1999)
• Maximally Even Sets (2000)
• The End of the Well-Tempered Clavichord? (2000)
• On Musical Space and Combinatorics: Historical and Conceptual Perspectives in Music Theory (2000)
• Towards a Methodological View on (Computer-Assisted) Music Analysis (2000)
• Musical Acoustics and Continued Fractions (2001)
• Constructing a Piano: A Key is Provided by Leonhard Euler (2001)
• Polygons and Chaos (2001)
• Set Operations in the Music of Nikolai Roslavets (2002)
• A Musical Suite Based on the Platonic Solids (2002)
• Pure-Tone Approximation to Equal-Temperament: How Close is Close? (2002)
• A Mathematical Look at the 7 Liberal Arts as Humanities (2002)
• Tonal Optimization in Music Playing (2002)
• The Pi Symphony: Numeric Sequences in Music (2002)
• Time-Space of Music (2002)
• Classification and Phylogenetic Analysis of African Ternary Rhythm Timelines (2003)
• Hidden Geometry in Music of Bach and Schoenberg: Reflection, Rotation, Proportion (2003)
• Music – Sounding Proportions in Motion (2003)
• The Mathematics Of Jazz (2004)
• Circular Distributions and Spectra Variations in Music (2005)
• Geometry and Harmony (2005)
• On Parsimonious Sequences as Scales in Western Music (2005)
• The Euclidean Algorithm Generates Traditional Musical Rhythms (2005)
• Mathematics and Music – Models and Morals (2006)
• Playing Musical Tiles (2006)
• Responsive Visualization for Musical Performance (2006)
• The Integrated Scale Desirability Function: A Musical Scale Consonance Measure Based on Perception Data (2006)
• The Lost Harmonic Law of the Bible (2006)
• Ancient Harmonic Law (2007)
• Mathematical Models for Binarization and Ternarization of Musical Rhythms (2007)
• Poverty and Polyphony: A Connection between Economics and Music (2007)
• Neo-Riemannian Geometry (2008)
• Three Musical Geometries (2008)
• Symmetry and Transformations in the Musical Plane (2009)
• Three Conceptions of Musical Distance (2009)
• Biblical Cantillations (2010)
• Pitch-Space Lattices: Tonnetze and other Transpositional Networks (2011)
• How Can Mathematics Help in Identifying a Music Style (2011)
• Extension of Neo-Riemannian PLR-group to Seventh Chords (2012)
• The Creative Process: Risk-taking in an Interdisciplinary Honors Course (2012)
• On the Question of Meter in African Rhythm: A Quantitative Mathematical Assessment (2013)
• A Musical Scale Generated from the Ratio of Consecutive Primes (2015)
• Hearing Math and Seeing Music: a Workshop on Pitch Perception and Temperament (2015)
• Infinite Rhythmic Tiling Canons (2015)
• A Musical Polyhedron Updated for the 21st Century (2016)
• Prelude Op. 11, No. 1 by A. Scriabin: ICVSIM Relations (2016)
• Scales and Temperament from the Mathematical Viewpoint (2016)
• Phylogenetic Analysis of the Ancient Greek Paeonic Rhythms (2016)
• Non-Octave Guitar and Keyboard Designs for Ervin M. Wilson (2017)
• The Interval Dissonance Rate: An Analytical Look into Chromaticism of Chopin’s Op. 10 No. 2 and Scriabin’s Op. 11 No. 2 (2017)
• Musical Scales and Multiplicative Groups (2018)
• The Area Set Value Relationships in Atonal Music (2018)
• Make Music Visible, Play Mathematics (2019)
• A Transformational Approach to Harmony Improvisation (2020)
• The Tower of Ha(rmo)noi (2021)
• Variations of the Goldberg Ground and Other Canonic Adventures (2021)
• A Hard Day’s Math: Connections Between Mathematics and Music (2023)
• The Music and Mathematics of Maximal Evenness in Graphs (2024)