Taking Notes: Generating Twelve-Tone Music with Mathematics

There has often been a connection between music and mathematics. The world of musical composition is full of combinations of orderings of different musical notes, each of which has different sound quality, length, and em phasis. One of the more intricate composition styles is twelve-tone music, where...

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Bibliographic Details
Main Author: Molder, Nathan
Format: Others
Language:English
Published: Digital Commons @ East Tennessee State University 2019
Subjects:
Online Access:https://dc.etsu.edu/etd/3592
https://dc.etsu.edu/cgi/viewcontent.cgi?article=5051&context=etd
Description
Summary:There has often been a connection between music and mathematics. The world of musical composition is full of combinations of orderings of different musical notes, each of which has different sound quality, length, and em phasis. One of the more intricate composition styles is twelve-tone music, where twelve unique notes (up to octave isomorphism) must be used before they can be repeated. In this thesis, we aim to show multiple ways in which mathematics can be used directly to compose twelve-tone musical scores.