Abstract
Over the centuries, much ink has been spilled describing attempts to deal, in some musically satisfactory fashion, with the unavoidable fact that twelve stacked pure perfect fifths do not yield the same result as seven stacked octaves. In today's modern instruments practice, though the infelicitous harmonies arising from equal temperament are often disguised by continuous vibrato, players and singers occasionally color their melodic lines by inflecting pitches subtly to make them more "expressive," frequently to the greater detriment of the harmony.
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