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)