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TABLE OF CONTENTS.
[N.B.—The numbers refer in every instance to the sections, not to the pages.]
- CHAPTER I.— Intorduction
page 13 Amount of knowledge presupposed, I—A musical sound, 2—Melody and harmony defined, 3—Interval defined, 4—Semitone, 5—Diatonic and chromatic semitones, 6—A Tone, 7—Scales, 8—The diatonic scale, 9—Nature of the Octave, 10—The chromatic scale, 11—Names of the degrees of the diatonic scale, 12–14—Consonance and Dissonance denned, 15–17—Discords, 18—How intervals are reckoned, 19—Compound intervals, 20—Different kinds of intervals, 21—Perfect, major, minor, augmented, and diminished intervals, 22–25—Inversion of intervals, 26, 27—Consonant and dissonant intervals. 28—Perfect and imperfect consonances, 29—The scientific distinction between consonance and dissonance, 30—Table of intervals, 31. - CHAPTER II.—The Harmonic Series
page 24 The nature of Harmonics, 33, 34—Pitch defined, 35—The Harmonic Series from C, 36, 37—Ratios of intervals, 38—Compound tones, 40—Secondary harmonics, 41—A selection made from these, 43—What decides our choice, 44—Which primary harmonics are used for chords, 45—Calculation of difference of ratio of two intervals, 47–49—Calculation of secondary harmonics, 50, 51—The "enharmonic diesis,"—52. - CHAPTER III.—Key, or Tonality
page 32 Definition of Key, 54–56—Development of key from its tonic, 57—A Chord, 58—The major common chord, 59, 60—The fundamental chord of the seventh, 61—Chords of the ninth, 62, 63— Chords of the eleventh and thirteenth, 64—The complete fundamental tonic chord, 66—The dominant fundamental chord, 67, 68—The supertonic fundamental chord, 69—Why the subdominant is not used, 70—The materials of the key of C, 71—Diatonic and chromatic notes in the key, 72—The chromatic scale, 73—The diatonic scale of C major, 74—All the triads derived from the three fundamental chords, 75, 76—The whole key developed from the tonic, 77—Other keys than C, 78, 79—Tetrachords, 80—Keys with sharps, 81–83—Keys with flats, 84, 85—The relationship of keys to each other, 86, 87.
