Honors Thesis Archive
| Author | Victor Glasgo |
|---|---|
| Title | A Geometric Analysis of Chord Progressions |
| Department | Mathematics |
| Advisor | Dr. Adam Parker, Dr. Doug Andrews, Dr. Brandon Jones |
| Year | 2015 |
| Honors | Departmental Honors |
| Full Text | View Thesis (1412 KB) |
| Abstract | Dmitri Tymoczko and others have applied mathematical techniques to music theoretical analysis. We followed Tymoczko's set notation in our analysis. Our approach seeks to define a metric for finding minimal voice leadings between two given chords. We use our metric to examine all possible leadings and visualize the results with graphical representations. We use two-note chords rendered as points in a Mobius strip to examine their voice leading relationships. We then extend this analysis to three-note chords in a torus. |
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