The world of sound is bounded by the two extremes of pure tone and mere noise. The home of music lies in the lands around the ideal of tone. This ideal forms the first problem of musicn.l science. It is properly termed an ideal because pure tones rarely, if ever, occur under natural circumstances. That is evident from the familiar fact that, however perfectly a musical instrument may be played, its tones are easily distinguishable from those of other instruments, even though they may be of the same pitch. The same series of tones of exactly the same pitches, e.g. the diatonic scale on it- e1 of 264 vibrations per second. may be given by an indefinite number of instruments. and w:ill be recognised DS different on each, in spite of the sameness that is obviously common to all.

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