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    Logistic modeling of note transitions 
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    Logistic modeling of note transitions

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    Published version
    Embargoed until: 2100-01-01
    Reason: VoR - Book Chapter
    Volume
    9110
    Pagination
    161 - 172
    ISBN-13
    9783319206028
    DOI
    10.1007/978-3-319-20603-5_16
    ISSN
    0302-9743
    Metadata
    Show full item record
    Abstract
    © Springer International Publishing Switzerland 2015. Note transitions form an essential part of expressive performances on continuous-pitch instruments. Their existence and precise characteristics are not captured in conventional music notation. This paper focuses on the modeling and representation of note transitions. We compare models of excerpted pitch contours of performed portamenti fitted using a Logistic function, a Polynomial, a Gaussian, and Fourier Series, each constrained to six coefficients. The Logistic Model is shown to have the lowest root mean squared error and the highest adjusted R-squared value; an ANOVA shows the difference to be significant. Furthermore, the Logistic Model produces musically meaningful outputs: transition slope, duration, and interval; and, time and pitch of the inflection point. A case study comparing portamenti between erhu and violin on the same musical phrase shows transition intervals to be piece-specific (as it is constrained by the notes in the score) but transition slopes, durations, and inflection points to be performer-specific.
    URI
    http://qmro.qmul.ac.uk/xmlui/handle/123456789/16052
    Collections
    • Electronic Engineering and Computer Science [2359]
    Licence information
    http://link.springer.com/chapter/10.1007/978-3-319-20603-5_16
    Copyright statements
    © Springer International Publishing AG
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