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Mathematical Problems in Engineering
Volume 2015, Article ID 560926, 6 pages
http://dx.doi.org/10.1155/2015/560926
Research Article

A Study on Digital Analysis of Bach’s “Two-Part Inventions”

1Xiamen Academy of Arts and Design, Fuzhou University, 41th Hall of Dongping Shanzhuang, Room 602, Siming Area, Xiamen 361000, China
2School of Software, Xiamen University, 25th Hall of Bikaner Yuan, Room 1802, Binjiang, Hangzhou, Zhejiang 310051, China

Received 16 June 2014; Accepted 29 August 2014

Academic Editor: Teen-Hang Meen

Copyright © 2015 Xiao-Yi Song and Dong-Run Huang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In the field of music composition, creating polyphony is relatively one of the most difficult parts. Among them, the basis of multivoice polyphonic composition is two-part counterpoint. The main purpose of this paper is, through the computer technology, conducting a series of studies on “Two-Part Inventions” of Bach, a Baroque polyphony master. Based on digitalization, visualization and mathematical methods, data mining algorithm has been applied to identify bipartite characteristics and rules of counterpoint polyphony. We hope that the conclusions drawn from the article could be applied to the digital creation of polyphony.