It is interesting to learn to begin with that the octave in tone is related exactly to the length of the vibrating string, in that halving the length of a string results in a tone that is one octave higher (although I knew that the C tones in tuning forks were related to one another by powers of 2). I did not realize the problem associated with tuning on the basis of perfect ratios of string length to establish the intervals of thirds and fifths in the octave. Read moreĪ short book about tuning for keyboard insturments, and the struggles associated with establishment of the current equal temperment tuning. Filled with original insights, fascinating anecdotes, and portraits of some of the greatest geniuses of all time, Temperament is that rare book that will delight the novice and expert alike. The contentious adoption of the modern tuning system known as equal temperament called into question beliefs that had lasted nearly two millenia–and also made possible the music of Beethoven, Schubert, Chopin, Debussy, and all who followed. In this engaging and accessible account, Stuart Isacoff leads us through the battles over that scale, placing them in the context of quarrels in the worlds of art, philosophy, religion, politics and science. Indeed, from the time of the Ancient Greeks through the eras of Renaissance scientists and Enlightenment philosophers, the relationship between the notes of the musical scale was seen as a key to the very nature of the universe. Few music lovers realize that the arrangement of notes on today’s pianos was once regarded as a crime against God and nature, or that such legendary thinkers as Pythagoras, Plato, da Vinci, Galileo, Kepler, Descartes, Newton and Rousseau played a role in the controversy.
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