This paper proposes a new method for the pitch estimation of sung songs for transcription. The previous pitch estimation methods that are considered most for musical instrument sounds but few for sung songs are based on the extraction of the pitch frequencies. But the extraction of the pitches is rather difficult and sophisticated signal processing is necessary since the musical sound has many harmonic components. The principle of our method is the elimination of the pitch and its harmonic frequencies. This can be performed simply by a comb filter. To adapt the fluctuation of song pitches, we use double comb filters. Using two cascade connected twelve double comb filters that are connected in parllel and are corresponding to each tone in one octave, we can estimate the pitches of solo and duet songs.
In this paper, we propose a method of the automatic transcription system remarking zero outputs of comb filters. In the frequency domain, the comb filter has zero points at the integer multiple of the fundamental frequency. The fundamental frequency and harmonic frequencies of the musical tone can be eliminated by comb filters which are corresponding to the scales. In the method using comb filters which has already presented, 60 comb filters are required, and the processing time is too long to detect the scale of the 32th note. In the proposed method,we can estimate the scale of both monophony and chords using only seven comb filters and a few notch filters connected in cascade, and we can also detect the scale of the 32th note(62.5 ms). We have done some computer simulations on transcribing the melody played on a piano. As a result, it is clear that the proposed method is useful to detect musical scale.
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