The Science of Music; Or, the Physical Basis of Musical Harmony

Cover The Science of Music; Or, the Physical Basis of Musical Harmony
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Accordingly, we may expect to find that not one single waveform, but many such forms, correspond to a sound of given quality and pitch.
114 QVALITr AND MODE QF. VIBRATION.
VARIETY OF RESULTANT WAVE-FORMS. 115 In Figs. 48, 49, 50, the associated wave-form corre- sponding to our clang of two partial-tones [page 110] is constructed for three degrees of pliase-difference. The simple constituent waves are shown in thin, the result of their composition in full lines. In each case two complete wave-le
...ngths of the latter are exhibited.
Figs. 51 and 52 present two wave-forms drawn in the same way, for a clang of constant pitch and quality con- t lining the partial-tones 1, 2, and 3.
Fia. 51.
Fio. 82.
The dissimilarity of form, and therefore of corre- sponding particle-vibration, is, in both sets of figures, most marked.
73. It has been shown that, by mere alteration of phase, a very great variety of resultant wave-forms can il6 QUALITY AND MODE OF VIBRATION.
be obtained from two sets of simple waves of given lengths and amplitudes, ^ach one of these forms will give rise to a cycle of others, if we allow the relative am- plitudes of the constituent systems to be changed, while keeping the difference of phase constant.


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