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Piano chord analyzer
Poloček, Dominik ; Miklánek, Štěpán (referee) ; Ištvánek, Matěj (advisor)
The presented thesis deals with the analysis of chords by determining the frequencies of their components. The aim of thesis is to outline methods for determining the fundamental frequencies of single and multiple notes and to implement a system that can determine chords using these methods. The method, implemented in Python (spectral peak method), uses a fast Fourier transform to represent the signal in the frequency domain and then searches for spectral maxima, which it evaluates as fundamental frequencies after proper checking. The spectral peaks method was compared with the harmonic component modulus summation method and with the state-of-the- art system for transcribing recordings to MIDI (PianoTransctiprion) by running tests on the dataset created for this thesis (530 chord and note recordings). The best results are presented by PianoTranscription ( = 0.74, tot = 0.23), the second best performing method is the spectral peaks method with a known number of tones ( = 0.55, tot = 0.29), followed by the same method with unknown number of tones ( = 0.52, tot = 0.38) and finally the harmonic component modulus summation method ( = 0.26, tot = 0.81). The limitations of the implemented system are the inability to determine the number of tones (must be specified by the user) and the frequency minimum (138.59 Hz), below which the estimates are erroneous, which is probably due to the design of the piano and the braiding of strings.
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