====== On Double Counterpoint ====== ===== First Section: Double Counterpoint in Two Parts ===== ==== Inversion at the Eleventh ==== Double counterpoint at the //eleventh// or //fourth//, is now to be discussed, the combinations of which will be analyzed by the usual method of two rows of figures: ^ Counterpoint | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | ^ Inversion | 11 | 10 | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | 1 | From this view, the //sixth// is -- in this counterpoint -- the principal interval, and it is by that one, we should commence or finish; it is by that one, that not only the discords must be prepared and resolved, but also the concords, which are changed into discords by inversion. {{ :cherubini_counterpoint_and_fugue:ex170a-1.png?800 |}} {{ :cherubini_counterpoint_and_fugue:ex170a.mp3 | :cherubini_counterpoint_and_fugue:ex170a.ogg |}} {{ :cherubini_counterpoint_and_fugue:ex170b-1.png?800 |}} {{ :cherubini_counterpoint_and_fugue:ex170b.mp3 | :cherubini_counterpoint_and_fugue:ex170b.ogg |}} The interval of the //eleventh// forms the limit of this counterpoint. A developed example is hereby given of a counterpoint of this kind: {{ :cherubini_counterpoint_and_fugue:ex171a-1.png?800 |}} {{ :cherubini_counterpoint_and_fugue:ex171a.mp3 | :cherubini_counterpoint_and_fugue:ex171a.ogg |}} > 1st inversion {{ :cherubini_counterpoint_and_fugue:ex171b-1.png?800 |}} {{ :cherubini_counterpoint_and_fugue:ex171b.mp3 | :cherubini_counterpoint_and_fugue:ex171b.ogg |}} > 2nd inversion: Transpose the theme a fourth above, and the counterpoint an octave below {{ :cherubini_counterpoint_and_fugue:ex172a-1.png?650 |}} {{ :cherubini_counterpoint_and_fugue:ex172a.mp3 | :cherubini_counterpoint_and_fugue:ex172a.ogg |}} > 3rd inversion: Transpose the theme a fifth below, while the counterpoint remains in its original place {{ :cherubini_counterpoint_and_fugue:ex172b-1.png?650 |}} {{ :cherubini_counterpoint_and_fugue:ex172b.mp3 | :cherubini_counterpoint_and_fugue:ex172b.ogg |}} > 4th inversion: Transpose the theme a //fourth// above, and the counterpoint a //fifth// below {{ :cherubini_counterpoint_and_fugue:ex172c-1.png?650 |}} {{ :cherubini_counterpoint_and_fugue:ex172c.mp3 | :cherubini_counterpoint_and_fugue:ex172c.ogg |}} > 5th inversion: Transpose the theme a //fourth// above, or a //fifth// below, and the counterpoint a //fourth// above or a //fifth// below {{ :cherubini_counterpoint_and_fugue:ex172d-1.png?650 |}} {{ :cherubini_counterpoint_and_fugue:ex172d.mp3 | :cherubini_counterpoint_and_fugue:ex172d.ogg |}} Double counterpoint in the //eleventh//, is of all double counterpoints little used, that which may be employed with the fewest objections and difficulties.