Demo: A Geometric Approach to Generate Musical Rhythmic Patterns in Haskell
Pages 50 - 54
Abstract
We present work-in-progress on RTG, a domain specific language embedded in Haskell designed to explore the affordances of geometry as a means to generate and manipulate rhythmic patterns in live coded music. Examples of how simple geometry is capable of producing interesting rhythms are shown to support our use of binary lists as a pattern representation. We introduce Erlangen’s Program notion of geometry as encoded in groups, using such structure as the focus of a combinator interface based on an archetypal RhythmicPattern type implemented using a type class. Examples of the interface usage are provided. Future work targets the definition of Group instances for the rhythmic pattern types such that the group laws are fulfilled and its operations lift to the interface in a musically coherent and engaging way.
References
[1]
Heinrich Apfelmus. 2019. Demo: Functors and Music. In Proceedings of the 7th ACM SIGPLAN International Workshop on Functional Art, Music, Modeling, and Design. ACM, Berlin Germany. 52–55. isbn:978-1-4503-6811-7 https://doi.org/10.1145/3331543.3342582
[2]
Eric F. Clarke. 1999. Rhythm and Timing in Music. In The Psychology of Music (Second Edition), Diana Deutsch (Ed.). Academic Press, San Diego. 473–500. isbn:978-0-12-213564-4 https://doi.org/10.1016/B978-012213564-4/50014-7
[3]
Micho Durdevich. 2017. Music of Quantum Circles. In The Musical-Mathematical Mind: Patterns and Transformations, Gabriel Pareyon, Silvia Pina-Romero, Octavio A. Agustín-Aquino, and Emilio Lluis-Puebla (Eds.). Springer International Publishing, Cham. 99–110. isbn:978-3-319-47336-9 978-3-319-47337-6 https://doi.org/10.1007/978-3-319-47337-6
[4]
Conal Elliott. 2009. Push-Pull Functional Reactive Programming. In Proceedings of the 2nd ACM SIGPLAN Symposium on Haskell (Haskell ’09). Association for Computing Machinery, New York, NY, USA. 25–36. isbn:978-1-60558-508-6 https://doi.org/10.1145/1596638.1596643
[5]
Xavier Góngora. 2023. Rhythm, Time and Geometry. In Algorithmic Pattern Salon. Then Try This. https://doi.org/10.21428/108765d1.e65cd604
[6]
2015. Sophus Lie and Felix Klein: The Erlangen Program and Its Impact in Mathematics and Physics, Lizhen Ji and Athanase Papadopoulos (Eds.) (IRMA Lectures in Mathematics and Theoretical Physics). European Mathematical Society, Zürich. isbn:978-3-03719-148-4 lccn:QA443.5 .S67 2015
[7]
Felix Klein. 1983. A Comparative Review of Recent Researches in Geometry. Bulletin of the New York Mathematical Society, 2, 10 (1983), July, 215–249. issn:2638-938X, 2638-9398
[8]
Alex McLean. 2014. Making Programming Languages to Dance to: Live Coding with Tidal. In Proceedings of the 2nd ACM SIGPLAN International Workshop on Functional Art, Music, Modeling & Design (FARM ’14). Association for Computing Machinery, New York, NY, USA. 63–70. isbn:978-1-4503-3039-8 https://doi.org/10.1145/2633638.2633647
[9]
Alex McLean. 2020. Algorithmic Pattern. In Proceedings of the International Conference on New Interfaces for Musical Expression. Birmingham City University, Birmingham, UK. 265–270. https://doi.org/10.5281/zenodo.4813352
[10]
Orestis Melkonian, Iris Yuping Ren, Wouter Swierstra, and Anja Volk. 2019. What Constitutes a Musical Pattern? In Proceedings of the 7th ACM SIGPLAN International Workshop on Functional Art, Music, Modeling, and Design. ACM, Berlin Germany. 95–105. isbn:978-1-4503-6811-7 https://doi.org/10.1145/3331543.3342587
[11]
John Stillwell. 1998. Numbers and Geometry. Springer, New York, NY. isbn:978-1-4612-6867-3 978-1-4612-0687-3 https://doi.org/10.1007/978-1-4612-0687-3
[12]
Godfried Toussaint. 2005. The Euclidean Algorithm Generates Traditional Musical Rhythms. In Renaissance Banff: Mathematics, Music, Art, Culture : Conference Proceedings 2005, Reza Sarhangi and Robert V. Moody (Eds.). Bridges Conference, Southwestern College, Winfield, Kansas. 47–56. isbn:0-9665201-6-5
[13]
Godfried T Toussaint. 2020. The Geometry of Musical Rhythm: What Makes a "Good" Rhythm Good? (second edition ed.). CRC Press, Boca Raton London New York. isbn:978-0-8153-7097-0 978-0-8153-5038-5
[14]
I. M. Yaglom. 1988. Felix Klein and Sophus Lie: Evolution of the Idea of Symmetry in the Nineteenth Century. Birkhäuser, Boston. isbn:978-0-8176-3316-5 lccn:QA443.5 .I1813 1988
Index Terms
- Demo: A Geometric Approach to Generate Musical Rhythmic Patterns in Haskell
Index terms have been assigned to the content through auto-classification.
Recommendations
Synchronization and fluctuation of rhythm in musical cooperative performance
HCII'11: Proceedings of the 14th international conference on Human-computer interaction: design and development approaches - Volume Part IA live musical performance gives us better impression than recorded music heard from a portable music player. From player's point of view, live performance also gives better impression than playing music with metronome or recorded music. Thus, the ...
Demo: functors and music
FARM 2019: Proceedings of the 7th ACM SIGPLAN International Workshop on Functional Art, Music, Modeling, and DesignWe present work-in-progress on two projects whose combination enables live coding music in Haskell: cnoidal, a library for representing and transforming music, and HyperHaskell, a Haskell interpreter with a worksheet interface and graphical output. The ...
Generative Audio and Real-Time Soundtrack Synthesis in Gaming Environments: An exploration of how dynamically rendered soundtracks can introduce new artistic sound design opportunities and enhance the immersion of interactive audio spaces.
OzCHI '20: Proceedings of the 32nd Australian Conference on Human-Computer InteractionAn important yet oft-overlooked front in the scope of interactive media, audio technologies have remained relatively stagnant compared to groundbreaking advancements made in fields such as visual fidelity and virtual reality. This paper explores the use ...
Comments
Please enable JavaScript to view thecomments powered by Disqus.Information & Contributors
Information
Published In
September 2024
75 pages
Copyright © 2024 Copyright held by the owner/author(s).
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the owner/author(s).
Sponsors
Publisher
Association for Computing Machinery
New York, NY, United States
Publication History
Published: 02 September 2024
Check for updates
Author Tags
Qualifiers
- Demonstration
Conference
FARM '24
Sponsor:
FARM '24: 12th ACM SIGPLAN International Workshop on Functional Art, Music, Modelling, and Design
September 2, 2024
Milan, Italy
Acceptance Rates
Overall Acceptance Rate 19 of 23 submissions, 83%
Upcoming Conference
ICFP '25
- Sponsor:
- sigplan
Contributors
Other Metrics
Bibliometrics & Citations
Bibliometrics
Article Metrics
- 0Total Citations
- 29Total Downloads
- Downloads (Last 12 months)29
- Downloads (Last 6 weeks)6
Reflects downloads up to 12 Nov 2024
Other Metrics
Citations
View Options
Get Access
Login options
Check if you have access through your login credentials or your institution to get full access on this article.
Sign in