Jean-Philippe Rameau
Treatise on Harmony

01.

BOOK ONE:
On the Relationship Between Harmonic Ratios and Proportions

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36.

On the different ways in which the relationship between Sounds can be known to us 4
On the origin of Consonances and on their relationships 5
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On the source of Harmony or the fundamental Sound, 7
On the Unison, 8
On the Octave, 8
On the Fifth and the Fourth, 13
On the Thirds and the Sixths, 15
Summary of the contents of this Chapter, in which the properties shown in the
preceding Demonstration are represented on a single String, 17
Remarks on the properties of the Harmonic and Arithmetic Proportions 20
On the origin of Dissonances and on their relationships 27
On doubled Intervals, and especially on the Ninth and the Eleventh 34
On Harmonic Division, or on the origin of Chords 35
On the inversion of Chords 40
On the major Perfect Chord and on its derivatives, 40
On the minor Perfect Chord and on its derivatives, 42
On the Seventh Chord constructed by adding a minor Third to the major Perfect
Chord and on its derivatives, 42
On the Seventh Chord constructed by adding a minor Third to the minor Perfect
Chord and on its derivatives, 44
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On Composition in two Parts 317

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