HANDBOOK OF ACOUSTICS - online book

A complete view of Acoustical Science & its bearings on music, for musicians & music students.

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216
HAND-BOOK OF ACOUSTICS.
In the last two, the Differentials actually produce beats, causing them to be much the least pleasing; in fact, they are rougher than the better distributions of the Minor Triad.
We have now to ascertain the more advantageous positions of the
the second and fourth of which are foreign to the scale, while the first and third do not belong to the Minor Triad in question. It follows therefore, that every Minor Triad must generate at least one disturbing Differential tone.
Further, in order that there may be only one such Differential, the intervals which " m " makes with both the " 1 " and the " d " in the above four intervals, must be selected from those in Table I, page 213 ; for if it form with the " 1" or " d " any of the intervals of Tables II and m, page 213, other differentials not belonging to the Minor chord will be introduced. On examination it will be found, that the following are the only three distributions of the Minor Triad that answer this test, that is, which have only one disturbing Differential Tone.