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DEFINITION OF THE CONSONANT INTERVALS. 181
than a Fourth, the coincidence heing between higher, and therefore usually weaker partials, and being masked more or less by the harsh dissonance of a semitone between the more powerful 3rd and 4th partials (d1 and t above).
Minor Third. Let be the vibration numbers
of two Compound Tones at this interval: then,
the 6th partial of the lower tone will coincide with the 5th of the higher. The Minor Third is still less denned, therefore, than the Major Third; the coincident partials being of a higher order, and obscured not only by the semitone dissonance between the 4th and 5th partials (s1 and se1 above) but by the tone dissonance between the 3rd and 4th (r1 and n1).
For a given departure from the exact ratios, the beats are more rapid in the case of the Thirds, than in the preceding intervals; for example, let 401 and 500, and 501 and 600 be the vibration numbers of the fundamentals of a Major and Minor Third respectively: then.