Tuning and Temperament: A Historical Survey

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Courier Dover Publications, 2004 - Music - 228 pages
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The demands of tuning (attaining the perfect scale) and temperament (the compromises necessary for composing in every key) have challenged musicians from the earliest civilizations onward. This guide surveys these longstanding problems, devoting a chapter to each principal theory and offering a running account of the complete history of tuning and temperament. Organized chronologically, the book features a helpful glossary and numerous illustrative tables, and it requires minimal background in music theory. This new reissue is currently the only edition in print of a much-quoted classic. 9 figures. 180 tables.
  

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Contents

History of Tuning and Temperament Ii Greek Tunings
1
Meantone Temperament
6
Other Varieties of Meantone Temperament
31
Equal Temperament
32
Fig A Schneegass Division of the Monochord
38
Geometrical and Mechanical Approximations
49
metric Mean Proportionals
52
Numerical Approximations
55
Modifications of Regular Temperaments
139
Temperaments Largely Pythagorean
151
Bermudos Method for Placing Frets
165
Divisions of Ditonic Comma Metius System
177
Good Temperaments
178
From Theory to Practice
185
Tuning of Keyboard Instruments
188
Just Intonation in Choral Music
196

E Strahles Geometrical Approximation
66
Just Intonation
71
Theory of Just Intonation
102
Multiple Division
107
Notes inthe Octave
109
Equal Divisions
113
Theory of Multiple Division
128
VI1 Irregular Systems
133
Present Practice
199
Literature Cited
203
Intervals with Superparticular Ratios
220
102
221
199
222
219
226
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