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pitch provides a fixed numerical representation for intervals, independent of its specific pitch level. This allowed precise comparisons of music that used different, often individual- or culture-specific, pitch systems. Pitch systems in countries such as India, Japan, and China vary "not only [in] the absolute pitch of each note, but also necessarily the intervals between them". He concluded that the real pitch of a musical scale can only be determined when "heard as played by a native musician" and

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