Zobrazeno 1 - 10
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pro vyhledávání: '"Norman Carey"'
Autor:
Norman Carey, David Clampitt
Publikováno v:
Journal of Mathematics and Music. 12:154-170
The fundamental results in mathematical music theory due to Clough and Myerson, Cardinality equals Variety (CV) and Structure yields Multiplicity (SM), correspond to statements about Christoffel wo...
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https://doi.org/10.1080/17459737.2018.1519861
https://doi.org/10.1080/17459737.2018.1519861
Autor:
Norman Carey
Publikováno v:
Journal of Mathematics and Music. 11:134-154
A recent article [Milne, Andrew J., David Bulger, and Steffan A. Herff. 2017. “Exploring the Space of Perfectly Balanced Rhythms and Scales.” Journal of Mathematics and Music 11 (2):101--133] posit...
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https://doi.org/10.1080/17459737.2018.1450458
https://doi.org/10.1080/17459737.2018.1450458
Autor:
David Clampitt, Norman Carey
Publikováno v:
Journal of Mathematics and Music. 11:61-63
This addendum corrects a gap in the proof of the First Theorem of our original article [Carey, Norman, and David Clampitt. 2012. “Two Theorems Concerning Rational Approximations” Journal of Mathematics and Music 6 (1): 61–66].
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https://doi.org/10.1080/17459737.2017.1286761
https://doi.org/10.1080/17459737.2017.1286761
Publikováno v:
Mathematical Music Theory
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b93582fc5d8df17c9c45eacffa545f78
https://doi.org/10.1142/9789813235311_0001
https://doi.org/10.1142/9789813235311_0001
Autor:
David Clampitt, Norman Carey
Borel and Reutenauer (2006) [3] showed, inter alia, that a word w of length n > 1 is conjugate to a Christoffel word if and only if for k = 0 , 1 , … , n − 1 , w has k + 1 distinct circular factors of length k. Sturmian words are the infinite cou
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http://arxiv.org/abs/1804.08724
http://arxiv.org/abs/1804.08724
Autor:
Norman Carey
Publikováno v:
Journal of Mathematics and Music. 6:221-227
Tonality and transformation, by Steven Rings, New York, Oxford University Press, 2011, xi + 243 pp., US$35.00, ISBN 978-0-19-538427-7 Steven Rings has made an important contribution to the ongoing ...
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https://doi.org/10.1080/17459737.2012.717507
https://doi.org/10.1080/17459737.2012.717507
Autor:
David Clampitt, Norman Carey
Publikováno v:
Journal of Mathematics and Music. 6:61-66
The two theorems of the title constitute the mathematical results underlying well-formed scale theory. This paper includes the purely mathematical portion of a manuscript from 1988, which the authors cited the following year in N. Carey and D. Clampi
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https://doi.org/10.1080/17459737.2012.679028
https://doi.org/10.1080/17459737.2012.679028
Autor:
Norman Carey
Publikováno v:
Journal of Mathematics and Music. 1:79-98
A common theme running through many of the scale studies in recent years is a concern for the distribution of intervals and pitch classes. The question of good distribution becomes increasingly complex with the increase in parameters. Complexity incr
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https://doi.org/10.1080/17459730701376743
https://doi.org/10.1080/17459730701376743
Autor:
Norman Carey
Publikováno v:
Music Theory Spectrum. 24:121-158
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https://doi.org/10.1525/mts.2002.24.1.121
https://doi.org/10.1525/mts.2002.24.1.121
Autor:
Norman Carey
Publikováno v:
Mathematics and Computation in Music ISBN: 9783642215896
MCM
MCM
The Nicomachus Triangle, a two-dimensional representation of powers of 2 and 3, provides a starting point for the development of an infinite class of right infinite Lambda words, Λθ. The word is formed by encoding differences in the sequence {Mθ}i
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https://doi.org/10.1007/978-3-642-21590-2_4
https://doi.org/10.1007/978-3-642-21590-2_4