Výsledky vyhledávání - "Jack Douthett"

Publikováno v: Journal of Mathematics and Music. 7:167-173

It is exciting to have this opportunity to read and react to three other substantial papers. Marek Žabka's idea to advocate this format deserves substantial praise, as does Rick Cohn's organization...

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::23c422badf03342913d70deb6f356c54
https://doi.org/10.1080/17459737.2013.823248

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

Autor: Jack Douthett, Richard J. Krantz

Publikováno v: Journal of Mathematics and Music. 5:171-194

We develop formalism for generating pure-tone systems that best approximate the modulation/transposition properties of equal-tempered scales. We define six measurements to determine the closeness of scales generated by pure intervals to equal-tempere

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::57cd7fcc0a38d713e986dede9dea4334
https://doi.org/10.1080/17459737.2011.641765

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Two musical paths to the Farey series and devil's staircase

Autor: Julyan H. E. Cartwright, Oreste Piro, Richard J. Krantz, Diego L. González, Jack Douthett

Publikováno v: Journal of mathematics & music
4 (2010): 57–74. doi:10.1080/17459737.2010.485001
info:cnr-pdr/source/autori:Cartwright JHE; Douthett J; Gonzalez D L; Krantz R; and Piro O/titolo:Two Musical Paths to the Farey Series and Devils Staircase/doi:10.1080%2F17459737.2010.485001/rivista:Journal of mathematics & music (Print)/anno:2010/pagina_da:57/pagina_a:74/intervallo_pagine:57–74/volume:4

At the 2007 Helmholtz Workshop in Berlin, two seemingly disparate papers were presented. One of these, by Julyan Cartwright, Diego González, and Oreste Piro, dealt with a nonlinear dynamical model for pitch perception based on frequency ratios and f

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c9d2f947a876408cf7bcf671ee8c14ea
https://doi.org/10.1080/17459737.2010.485001

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Dinner Tables and Concentric Circles: A Harmony of Mathematics, Music, and Physics

Autor: Richard J. Krantz, Jack Douthett

Publikováno v: The College Mathematics Journal. 39:203-211

(douthett@unm.edu) holds two Master ofMusic degrees, one in performance and the other in theoryand composition, and received his Doctorate ofMathematics from the University of New Mexico. He haspublished in the disciplines of mathematics, physics,aco

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8ba872bb9fdeec71538969bd596caeb7
https://doi.org/10.1080/07468342.2008.11922294

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