Solving the Antisymmetry Problem Caused by Pitch Interval and Duration Ratio in Geometric Matching of Music
Hung-Hsuan Wu, Hwei-Jen Lin, Shwu-Huey Yen, Hsiao-Wei Chang · Journal of Multimedia · 2010
Music representation with pitch interval and duration ratio can achieve invariance to transposition and tempo. However, altering the pitch or duration of a single music note will cause an antisymmetry effect. This paper proposes an algorithm for computing a geometric measure between two music fragments represented with pitch interval and duration ratio, with the capability of detecting and reducing these effects to improve search effectiveness.