Advanced search
Publication Cover
Journal of Mathematics and Music
Mathematical and Computational Approaches to Music Theory, Analysis, Composition and Performance
Volume 5, 2011 - Issue 3
Submit an article Journal homepage
636
Views
10
CrossRef citations to date
0
Altmetric
Original Articles

Algorithmic and computational approaches to pure-tone approximations of equal-tempered musical scales

Richard Krantz Metropolitan State College of Denver, Denver, CO, USACorrespondence[email protected]
&
Jack Douthett University of New Mexico, Albuquerque, NM, USA
Pages 171-194 | Received 29 Mar 2010, Accepted 15 Nov 2011, Published online: 14 Dec 2011

Citations (10)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (8)

Song An, Alyse Hachey, Daniel Tillman, Danielle Divis & Bryn Birdwell. (2023) Larger versus Luckier: preservice teachers’ exploration of probabilistic reasoning through an aleatoric music activity. International Journal of Mathematical Education in Science and Technology 54:3, pages 325-350.
Read now
Ricardo Gómez Aíza. (2023) Symbolic dynamical scales: modes, orbitals, and transversals. Journal of Mathematics and Music 17:1, pages 46-64.
Read now
Jack Douthett, Peter Steinbach, Robert Peck & Richard Krantz. (2022) Partitions, their classes, and multicolour evenness. Journal of Mathematics and Music 16:3, pages 303-345.
Read now
Rafael Cubarsi. (2020) An alternative approach to generalized Pythagorean scales. Generation and properties derived in the frequency domain. Journal of Mathematics and Music 14:3, pages 266-291.
Read now
Markus Schmidmeier. (2019) 2:3:4 Harmony within the tritave. Journal of Mathematics and Music 13:3, pages 222-244.
Read now
Vicente Liern. (2015) On the construction, comparison, and exchangeability of tuning systems. Journal of Mathematics and Music 9:3, pages 197-213.
Read now
Richard Plotkin & Jack Douthett. (2013) Scalar context in musical models. Journal of Mathematics and Music 7:2, pages 103-125.
Read now
Anja Volk & Aline Honingh. (2012) Mathematical and computational approaches to music: challenges in an interdisciplinary enterprise. Journal of Mathematics and Music 6:2, pages 73-81.
Read now

Articles from other publishers (2)

Maria Bras-Amorós. (2019) Tempered monoids of real numbers, the golden fractal monoid, and the well-tempered harmonic semigroup. Semigroup Forum 99:2, pages 496-516.
Crossref
Song A. An, Daniel A. Tillman & Lawrence M. Lesser. 2018. Transdisciplinarity in Mathematics Education. Transdisciplinarity in Mathematics Education 25 45 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.