HANDBOOK OF ACOUSTICS - online book

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204
CHAPTER XVII.
Chords.
We have already seen that the Consonant intervals, within the Octave, are the Minor and Major Thirds, the Fourth, the Fifth, and the Minor and Major Sixths. If any two of these intervals be united, by placing one above the other, the interval thus formed between the two extreme tones, may or may not be consonant. In the former case the combination is termed a Consonant Triad.
In order to obtain all the Consonant Triads within the compass of an Octave, it is therefore only necessary to combine the above intervals two and two, and select those combinations, whose extreme tones form a consonant interval. The following table shows all the combinations of the above intervals, taken two at a time, whose extreme tones are at a smaller interval than an Octave.
The only combinations in the above, the extreme tones of which form a consonant interval, are Nos. 2, 3, and 7. But each of these