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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 302958, 13 pages
Research Article

A Combined Mathematical Treatment for a Special Automatic Music Transcription System

College of Automation, University of Electronic Science and Technology of China (UESTC), Chengdu 611731, China

Received 5 September 2012; Accepted 21 October 2012

Academic Editor: Xinguang Zhang

Copyright © 2012 Yi Guo and Jiyong Tang. 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.


This paper presents a combined mathematical treatment for a special automatic music transcription system. This system is specially made for computer-synthesized music. The combined mathematical treatment includes harmonic selection, matrix analysis, and probability analysis method. The algorithm reduces dimension by PCA and selects candidates first by human auditory model and harmonic structures of notes. It changes the multiple-F0 estimation question into a mathematical problem and solves it in a mathematical way. It can be shown in this paper that the experimental results indicate that this method has very good recognition results.