Thus b"c"' and b'bc" have each 66 beats per second, yet the former is more dissonant than the latter.
There will be a tone frequency 480 - 256 =224, and this will be very dissonant with 256.
But the interval is still dissonant, and this is to be explained by the fact that the two tones unite to give a third tone of the frequency of the beats, easily heard when the two primary tones are loud.
During his residence in Wales a hyper-Calvinistic work entitled A Body of Divinity; or the Sum and Substance of the Christian Religion, was published under his name by John Downham; and, although he repudiated the authorship in a letter to the editor, stating that the manuscript from which it was printed was merely a commonplace-book into which he had transcribed the opinions of Cartwright and other English divines, often disapproving of them and finding them dissonant from his own judgment, yet it has been persistently cited ever since as Usher's genuine work, and as lending his authority to positions which he had long abandoned, if he ever maintained them.
The two tones are now dissonant, and, as we have seen, about the middle of the scale the maximum dissonance is when there are between 30 and 40 beats per second.
Take as a further example the fifth with harmonic overtones as under The fundamental and overtones of the second either coincide with or fall midway between overtones in the first, and there is no approach to a dissonant frequency of beats, and the concord is perfect.