HANDBOOK OF ACOUSTICS - online book

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CHORDS.
225
Minor Triads.
Triads in various distributions.
The smoothest distributions of the Major Triads are those in which Thirteenths, and Minor Tenths are absent.
The smoothest distributions of the Minor Triads are the following, taking L as the type.
Tetrads.
Those Major Tetrads are most harmonious in which the Eoot or Fifth does not lie more than a Sixth above the Third; or the Fifth does not lie more than a Sixth below it.
To take the D chord for example, those distributions are smoothest in which the d does not He more than a Sixth above the Pi; and in which the s does not lie more than a Sixth above or below the same note ; therefore
The Tones of Major Tetrads in the b position should lie as closely together as possible: and in the c position the extreme compass of the chord should not exceed an Eleventh/
The tones of a Minor Tetrad in the c position should be as closely together as possible; and in the b position, the extreme compass of the chord should not exceed a Major Tenth.
In this Chapter, a chord has been scientifically studied as a thing by itself; in the art of music it is generally also considered in relation to what goes before and after; where the requirements of Art do not accord with those of Science in this respect, the latter must give way to the former.
Q