Abstract

This paper presents a new method with a set of desirable properties for multi-pitch estimation of piano recordings. We propose a framework based on a set of classifiers to analyze audio input and to identify piano notes present in a given audio signal. Our system’s classifiers are evolved using Cartesian genetic programming: we take advantage of Cartesian genetic programming to evolve a set of mathematical functions that act as independent classifiers for piano notes. Two significant improvements are described: the use of a harmonic mask for better fitness values and a data augmentation process for improving the training stage. The proposed approach achieves competitive results using F-measure metrics when compared to state-of-the-art algorithms. Then, we go beyond piano and show how it can be directly applied to other musical instruments, achieving even better results. Our system’s architecture is also described to show the feasibility of its parallelization and its implementation as a real-time system. Our methodology is also a white-box optimization approach that allows for clear analysis of the solutions found and for researchers to learn and test improvements based on the new findings.

Highlights

  • Multi-pitch estimation or multiple fundamental frequency estimation is the process of extracting musical notation from a given acoustic signal

  • We propose an improved version of the algorithm, with some innovations and an extended multi-pitch estimation (MPE) system based on Cartesian genetic programming for piano music

  • Each piano key is represented by the corresponding MIDI note number, with 60 being the MIDI note number corresponding to the C4 musical note

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Summary

Introduction

Multi-pitch estimation or multiple fundamental frequency estimation is the process of extracting musical notation (pitches) from a given acoustic signal. There is a significant gap between high-level human perception and low-level signal features Some music features such as rhythm and pitch have an important role in helping bridge this gap since they are more closely related to the human perception of music. The piano is one of the most popular instruments worldwide and one of the most complex in what concerns pitch variety and number of simultaneous notes [5]. These are the main reasons that motivate us to research the multi-pitch estimation of piano sounds

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