Treatise on harmony / Jean-Philippe Rameau ; translated with an introduction and notes by Philip Gossett.
The Traité de l'harmonie of Jen-Philippe Rameau is one of the most important books in the history of Western music. Written while Rameau was still a relatively obscure organist and music master at Clermont-Ferrand, the book received but one printing during Rameau's life, in 1722, shortly...
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New York :
Dover Publications,
[2012?]
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Table of Contents:
- Book One: On the relationship between harmonic ratios and proportions
- 1. On music and sound
- 2. On the different ways in which the relationship between sounds can be known to us
- 3. On the origin of consonances and on their relationships
- 4. Remarks on the properties of the harmonic and arithmetic proportions
- 5. On the origin of dissonances and on their relationships
- 6. On doubled intervals, and especially on the ninth and the eleventh
- 7. On harmonic division, or on the origin of chords
- 8. On the inversion of chords
- 9. Remarks on all the preceding chords
- 10. Remarks on the different ratios which can be given to a single chord
- 11. How to relate the ratios given by the divisions to the vibrations and to the multiplication of lengths
- Book Two: On the nature and properties of chords and on everything which may be used to make music perfect
- 1. On the fundamental sound of harmony and on its progression
- 2. On the chords appropriate to fundamental sounds and on their progression
- 3. On the nature and properties of the octave
- On the nature and properties of the fifth and the fourth
- 5. On the perfect cadence, in which the nature and properties of all the intervals are found
- 6. On the deceptive cadence
- 7. On the irregular cadence
- 8. On the imitation of cadences by inversion
- 9. On how to avoid cadences by imitating them
- 10. On chords by supposition with which we may also avoid cadences by imitating them
- 11. On the fourth and the eleventh
- 12. On chords by borrowing with which we may avoid perfect cadences by imitating them
- 13. Rule for the progression of dissonances, derived from the progression of fundamental chords
- 14. Remarks on the progression of thirds and sixths
- 15. On occasions when the seventh should be suppressed from the ninth chord
- 16. On dissonant consonances, in which the fourth is discussed together with the false idea of it that exists because of superfluous rules
- 17. On license
- 18. Observations on establishing rules, in which the method of composing a fundamental bass is taught
- 19. Continuation of the preceding chapter, in which it appears that melody arises from harmony
- 20. On the properties of chords
- 21. On the modes
- 22. On the origin of our liberty to pass from one mode or from one key to another
- 23. On the properties of modes and keys
- 24. On meter
- 25. On the usefulness of this new way of indicating different meters
- 26. On the number of measures each air should contain, and on their characteristic movements
- 27. How to proceed when setting words to music
- 28. On design, imitation, fugue, and on their properties
- 29. On those intervals which should be classified as major and minor ; as just or perfect ; as augmented and diminished
- Book Three: Principles of composition
- 1. Introduction to practical music
- 2. On the fundamental bass
- 3. On the perfect chord, with which composition in four parts begins
- 4. On the succession of chords
- 5. On several rules which must be observed
- 6. On the seventh chord
- 7. Remarks on dissonance
- 8. On key and mode
- 9. On how to modulate harmonically when the bass is given a diatonic progression
- 10. On the bass continuo
- 11. On the progression of the bass, which simultaneously determines the progression of the chords ; how we may relate a derived chord to its fundamental
- 12. Continuation of the rules drawn from the preceding example
- 13. On the perfect cadence
- 14. On the leading tone, and on how all dissonances are resolved
- 15. On the eleventh, called the fourth
- 16. On the irregular cadence
- 17. On the different progressions of a bass which are related to one another in such a way that the harmony in the upper parts does not change at all
- 18. On how to prepare dissonances
- 19. On occasions when dissonances cannot be prepared
- 20. A precise enumeration of the different progressions of the bass, according to the different dissonances used there
- 21. On the chord of the second
- 22. On keys and modes in general
- 23. On how to pass from one key to another; i.e., on how to modulate
- 24. Continuation of the rules contained in the preceding chapter
- 25. How to know which chords must be given to the bass notes in any progression
- 26. How to use the seventh on every note of a key in a diatonic progression
- 27. How the same dissonance may occur in several consecutive chords on different notes; how it may be resolved by notes which appear to be foreign
- 28. On all licenses, beginning with the deceptive cadence
- 29. On the chord of the augmented fifth
- 30. On the ninth chord
- 31. On the eleventh chord, called the fourth
- 32. On the chord of the augmented seventh
- 33. On the chord of the augmented second and on its derivatives
- 34. On chromaticism
- 35. On how to make use of everything we have discussed hitherto
- 36. On composition in two parts
- 37. On false relations
- 38. On how to write a melody above a bass
- 39. On ornamental melody or supposition
- 40. On how to compose a fundamental bass below a treble
- 41. How to compose a basso Continuo below a treble
- 42. Useful remarks concerning the preceding chapter
- 43. Rules to be observed in a composition in two, three, and four parts
- 44. On design, imitation, and future
- Book Four: Principles of accompaniment
- 1. How to recognize the intervals from the arrangement of the keyboard
- 2. On the difference between major and minor intervals ; and between those which are perfect and those which are augmented or diminished
- 3. On the position of the hand and on the arrangement of the fingers
- 4. On how to find chords on the keyboard
- 5. Useful remarks concerning all the chords
- 6. On keys and modes
- 7. On the order which must be followed for the succession of chords found within the octave of each key
- 8. General rules
- 9. On the different chords which should follow the seventh chords when the bass note remains on the same degree
- 10. On the chord of the second
- 11. On chords of the sixth
- 12. On the chord of the augmented second and on its derivatives
- 13. On chords by suppositions
- 14. Observations on the relations between all the preceding chords
- 15. On how to prepare and resolve all dissonances from which we shall come to know the key in use and the chords which each note of this key should bear
- 16. On chromaticism
- 17. Recapitulation of the various successions of chords
- 18. Rules which are necessary in order to accompany properly
- 19. On how to figure a Basso Continuo, and on how to know which chords each figure denotes
- 20. How to tell which Bass notes should bear a chord.