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Diffusion-Based Music Analysis: A No...

Sell, Gregory Kennedy.

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Diffusion-Based Music Analysis: A Non-Linear Approach for Visualization and Interpretation of the Geometry of Music.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Diffusion-Based Music Analysis: A Non-Linear Approach for Visualization and Interpretation of the Geometry of Music./
Author:	Sell, Gregory Kennedy.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2010,
Description:	155 p.
Notes:	Source: Dissertations Abstracts International, Volume: 82-04, Section: B.
Contained By:	Dissertations Abstracts International82-04B.
Subject:	Educational technology. -
Online resource:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28168157
ISBN:	9798678102560

Diffusion-Based Music Analysis: A Non-Linear Approach for Visualization and Interpretation of the Geometry of Music.
Sell, Gregory Kennedy.

Diffusion-Based Music Analysis: A Non-Linear Approach for Visualization and Interpretation of the Geometry of Music. - Ann Arbor : ProQuest Dissertations & Theses, 2010 - 155 p.

Source: Dissertations Abstracts International, Volume: 82-04, Section: B.

Thesis (Ph.D.)--Stanford University, 2010.

This item must not be sold to any third party vendors.

Diffusion mapping is a non-linear data analysis method based off a model of the data as a states in a random walk. Through this approach, the global structure of the data is built up from local connectivity rather than pure distance. This diffusion-based approach is advantageous because, by using only local connectivity, it is still robust and meaningful in high dimensional spaces, unlike Euclidean distance, without requiring any assumptions about the structure of the data. Also, the diffusion mapping format leads directly into meaningful low-dimensional spaces for visualization of the data's structure. I will examine the effectiveness of diffusion mapping as a tool for analysis and visualization of music theory and, through these demonstrations, make an argument for its vast potential in the field. Diffusion has never been applied to music at this level before, nor has it been used at any other field for an analysis on a comparable level to music theory, but it will be shown that the approach is not only capable of organizing and visualizing music, but also, through those organizations and visualizations, communicating the underlying music theory used in creating the data sets. Example applications include demonstrations in the geometric representations of intervals, organizing data sets based on key and meter, and visualization of musical excerpts as trajectories in a diffusion-derived space.

ISBN: 9798678102560Subjects--Topical Terms:

517670
Educational technology.
Subjects--Index Terms:

Diffusion mapping

Diffusion-Based Music Analysis: A Non-Linear Approach for Visualization and Interpretation of the Geometry of Music.
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