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Please use this identifier to cite or link to this item: http://hdl.handle.net/10119/12338

Title: Algebraic Mozart by Tree Synthesis
Authors: Hirata, Keiji
Tojo, Satoshi
Hamanaka, Masatoshi
Keywords: music
Issue Date: 2014-09
Publisher: The International Computer Music Association
Magazine name: Proceedings ICMC|SMC|2014
Volume: 2014
Start page: 991
End page: 997
Abstract: Thus far, we have been automatizing the time-span analysis of Jackendoff and Lehrdahl’s Generative Theory of Tonal Music (GTTM). We have also introduced the distance between two time-span trees and verified by an experiment that the distance was properly supported by the psychological similarity. In this paper, we synthesize a new piece of music using the algebraic operations on timespan trees, with this notion of distance. For this process, we need an operation to retain a certain number of pitch events as well as reduction, then we employ join operation on two input pieces of music. But, the result of the join operation is not obvious as two or more pitch events may occupy the same position on a score in a conflicting way. Therefore, in this research, we distinguish the tree representation from actual music written on a score and define join and meet in the domain of the tree representation in the algebraic manner. Then, to demonstrate the validity of our approach, we compose artificial variations of K.265/300e byWolfgang Amadeus Mozart by a morphing technique using join and meet. We examine the results with human intuitive similarity and show that algebraic operations such as join and meet suffices to produce viable Mozartoid variations.
Rights: Keiji Hirata, Satoshi Tojo, Masatoshi Hamanaka, Proceedings ICMC|SMC|2014, 2014, 991-997. (c)2014 Keiji Hirata et al. This is an open-access article distributed under the terms of the Creative Commons Attribution 3.0 Unported License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
URI: http://hdl.handle.net/10119/12338
Material Type: publisher
Appears in Collections:b11-1. 会議発表論文・発表資料 (Conference Papers)

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