Skip Nav Destination
Close Modal
1-14 of 14 Search Results for
fourier
Follow your search
Access your saved searches in your account
Would you like to receive an alert when new items match your search?
Journal Article
Journal of Music Theory (2008) 52 (2): 219–249.
Published: 01 October 2008
...Justin Hoffman Recent music-theoretical research has proposed two ways of mapping the pitch-class set universe. Fourier spaces, constructed by Quinn, relate sets to one another based upon their composition from members of interval cycles, reflecting what might be called “harmonic quality.” Voice...
Journal Article
Journal of Music Theory (2008) 52 (2): 251–272.
Published: 01 October 2008
...Dmitri Tymoczko In this article, I consider two ways to model distance (or inverse similarity) between chord types, one based on voice leading and the other on shared interval content. My goal is to provide a contrapuntal reinterpretation of Ian Quinn's work, which uses the Fourier transform...
Includes: Supplementary data
Journal Article
Journal of Music Theory (2015) 59 (1): 121–181.
Published: 01 April 2015
...Jason Yust This article introduces a type of harmonic geometry, Fourier phase space, and uses it to advance the understanding of Schubert’s tonal language and comment upon current topics in Schubert analysis. The space derives from the discrete Fourier transform on pitch-class sets developed...
Image
in Approximate Set Theory: Chord Categories, Voicings, and Interval Cycles
> Journal of Music Theory
Published: 01 April 2023
Figure A3. Categorizing small sets using the first three Fourier components.
More
Journal Article
Journal of Music Theory (2007) 51 (2): 277–332.
Published: 01 October 2007
...Clifton Callender This article generalizes Ian Quinn's recent harmonic characterization of pitch-class sets in equal tempered spaces to chords drawn from continuous pitch and pitch-class spaces. Using the Fourier transform, chords of any real-valued pitches or pitch classes are represented...
Journal Article
Journal of Music Theory (2021) 65 (2): 325–374.
Published: 01 October 2021
...Jason Yust Abstract This article demonstrates how to obtain a periodicity-based description of cyclic rhythms using the discrete Fourier transform and applies this to understanding Steve Reich's use of rhythmic canons in a series of works from the early 1970s through the 1990s. The primary...
FIGURES
| View All (38)
Journal Article
Journal of Music Theory (2001) 45 (1): 1–29.
Published: 01 April 2001
..., and we shall formulate it presently,
as “Answer 1B” in Part 2 of this paper. To formulate Answer 1B, we shall
first need to define five “Fourier Properties” that a pcset X may or may
not possess.
2. Five “Fourier Properties” which a pcset may or may not possess;
the relevance...
Journal Article
Journal of Music Theory (2016) 60 (2): 213–262.
Published: 01 October 2016
...Jason Yust The discrete Fourier transform on pitch-class sets, proposed by David Lewin and advanced by Ian Quinn, may provide a new lease on life for Allen Forte's idea of a general theory of harmony for the twentieth century based on the intervallic content of pitch-class collections. This article...
Journal Article
Journal of Music Theory (2023) 67 (1): 1–70.
Published: 01 April 2023
...Figure A3. Categorizing small sets using the first three Fourier components. ...
FIGURES
| View All (53)
Journal Article
Journal of Music Theory (2005) 49 (1): 45–108.
Published: 01 April 2005
...). The correlation between offset and similarity as measures
of chromaticness is similarly high for set-classes of larger cardinality, and always
higher for set-classes of the same size.
24. Generic prototypicality may be interpreted as maximal imbalance on the associated
Fourier Balance...
Journal Article
Journal of Music Theory (2012) 56 (1): 1–52.
Published: 01 April 2012
... Voice-Leading Spaces and Fourier Spaces .” Journal of Music Theory 52 : 219 – 49 . Jackson Allyn . 2002 . “ The World of Blind Mathematicians .” Notices of the American Mathematical Society 49/10 : 1246 – 51 . Lewin David . 1987 . Generalized Musical Intervals...
Journal Article
Journal of Music Theory (2003) 47 (1): 103–123.
Published: 01 April 2003
...
for two sets Y and Z to form identical progression vectors as successors
to a given set X. These conditions are framed in terms of various “fourier
properties” and “fourier relations,” which are so named because the
underlying mathematics involves Fourier transformations. Some of the
progressions...
Journal Article
Journal of Music Theory (2011) 55 (1): 43–88.
Published: 01 April 2011
... .'' Paper presented at the national meeting of the Society for Music Theory , Montreal .
Hoffman
Justin
. 2008 . '' On Pitch-Class Set Cartography: Relations between Voice-Leading Spaces and Fourier Spaces. '' Journal of Music Theory 52 : 219 – 50 .
Hook
Julian
. 2002...
Includes: Supplementary data
Journal Article
Journal of Music Theory (2022) 66 (2): 147–187.
Published: 01 October 2022
... languages briefly at the Sorbonne, but he was then ordained a priest before the revolution, and afterward became a singer in the chorus of the Opéra. Of course, a great number of the scientists whom Napoleon brought along were equally untested: even Joseph Fourier, who was a well established figure prior...
