Acoustics & Sound For Musicians - Online Book

The Theory Of Sound Which Constitutes The Physical Basis Of The Art Of Music.

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IX. § 101.]          INVERSION OF TRIADS.                    195
It will now be easy to show that the triads of each group are very closely connected together. Take (a), and let us form another triad from it by causing its bottom note to ascend one Octave, the other two remaining where they were. The middle will then become the bottom note, the top the middle note, and the Octave of the former bottom note the top note. Hence the lower interval of the new triad will be the upper interval of the old one, i.e. a Minor Third. The upper interval of the new triad will necessarily be the inversion of the interval which separated the extreme notes of the old triad. This interval is a Fifth [see (a), p. 194], and its inversion, by the table on p. 191, is a Fourth. Hence the new
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