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In a comprehensive work with important implications for tuning theory and musicology, Easley Blackwood, a distinguished-composer, establishes a mathematical basis for the family of diatonic tunings generated by combinations of perfect fifths and octaves.

Originally published in 1986.

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Table of Contents

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  1. Cover
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  1. Title page, Copyright
  2. pp. i-iv
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  1. Contents
  2. pp. v-viii
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  1. Preface
  2. p. ix
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  1. I. Fundamental Properties of Musical Intervals
  2. pp. 3-21
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  1. II. The Diatonic Scale in Pythagorean Tuning
  2. pp. 22-30
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  1. III. Names and Distributional Patterns of the Diatonic Intervals
  2. pp. 31-48
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  1. IV. Extended Pythagorean Tuning
  2. pp. 49-66
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  1. V. The Diatonic Scale in Just Tuning
  2. pp. 67-90
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  1. VI. Extended Just Tuning
  2. pp. 91-128
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  1. VII. Musical Examples in Just Tuning
  2. pp. 129-153
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  1. VIII. The Diatonic Scale in Meantone Tuning
  2. pp. 154-164
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  1. IX. Extended Meantone Tuning
  2. pp. 165-192
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  1. X. The General Family of Recognizable Diatonic Tunings
  2. pp. 193-220
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  1. XI. Equal Tunings and Closed Circles of Fifths
  2. pp. 221-260
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  1. XII. The Diatonic Equal Tunings
  2. pp. 261-314
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  1. Index
  2. pp. 315-318
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