| |
— | cherubini_counterpoint_and_fugue:on_double_counterpoint:triple_and_quadruple_counterpoint_at_the_tenth [2018/08/11 03:08] (current) – created brian |
---|
| ====== On Double Counterpoint ====== |
| ===== Second Section ===== |
| ==== Triple and Quadruple Counterpoint at the Tenth ==== |
| |
| By observing the rules laid down in the first section on the subject of //double// counterpoint at the tenth, as well as the laws which ordain the necessity of employing //contrary// movement and //oblique// movement, //triple// and //quadruple// counterpoint at the //tenth// will be obtained. |
| |
| > Example of a double counterpoint at the tenth |
| |
| {{ :cherubini_counterpoint_and_fugue:ex182-1.png?800 |}} |
| |
| {{ :cherubini_counterpoint_and_fugue:ex182.mp3 | :cherubini_counterpoint_and_fugue:ex182.ogg |}} |
| |
| In order to convert this //double// counterpoint into //triple// counterpoint, nothing is required but to add to these two parts the inversion of the upper part a //tenth// below, or that of the lower part a //tenth// above. |
| |
| {{ :cherubini_counterpoint_and_fugue:ex183a-1.png?800 |}} |
| |
| {{ :cherubini_counterpoint_and_fugue:ex183a.mp3 | :cherubini_counterpoint_and_fugue:ex183a.ogg |}} |
| |
| {{ :cherubini_counterpoint_and_fugue:ex183b-1.png?800 |}} |
| |
| {{ :cherubini_counterpoint_and_fugue:ex183b.mp3 | :cherubini_counterpoint_and_fugue:ex183b.ogg |}} |
| |
| In order to obtain //quadruple// counterpoint, the following example of a //double// counterpoint at the //tenth// is first proposed: |
| |
| {{ :cherubini_counterpoint_and_fugue:ex184a-1.png?650 |}} |
| |
| {{ :cherubini_counterpoint_and_fugue:ex184a.mp3 | :cherubini_counterpoint_and_fugue:ex184a.ogg |}} |
| |
| Of this //double// counterpoint, a //triple// counterpoint is formed, by adding a third part at the distance of a //tenth// or a //third// from one or other of the two existing parts; and by inverting, alternately, each of these parts in the manner worked out in the example of a //quadruple// counterpoint at the //octave//. |
| |
| {{ :cherubini_counterpoint_and_fugue:ex184b-1.png?800 |}} |
| |
| {{ :cherubini_counterpoint_and_fugue:ex184b.mp3 | :cherubini_counterpoint_and_fugue:ex184b.ogg |}} |
| |
| {{ :cherubini_counterpoint_and_fugue:ex184c-1.png?800 |}} |
| |
| {{ :cherubini_counterpoint_and_fugue:ex184c.mp3 | :cherubini_counterpoint_and_fugue:ex184c.ogg |}} |
| |
| {{ :cherubini_counterpoint_and_fugue:ex184d-1.png?800 |}} |
| |
| {{ :cherubini_counterpoint_and_fugue:ex184d.mp3 | :cherubini_counterpoint_and_fugue:ex184d.ogg |}} |
| |
| {{ :cherubini_counterpoint_and_fugue:ex184e-1.png?800 |}} |
| |
| {{ :cherubini_counterpoint_and_fugue:ex184e.mp3 | :cherubini_counterpoint_and_fugue:ex184e.ogg |}} |
| |
| {{ :cherubini_counterpoint_and_fugue:ex184f-1.png?800 |}} |
| |
| {{ :cherubini_counterpoint_and_fugue:ex184f.mp3 | :cherubini_counterpoint_and_fugue:ex184f.ogg |}} |
| |
| By adding to this same double counterpoint the two parts in thirds, in the following manner, a quadruple counterpoint at the tenth will be obtained: |
| |
| {{ :cherubini_counterpoint_and_fugue:ex184g-1.png?800 |}} |
| |
| {{ :cherubini_counterpoint_and_fugue:ex184g.mp3 | :cherubini_counterpoint_and_fugue:ex184g.ogg |}} |
| |
| This counterpoint -- at least, as it is combined in the above example -- gives but few inversion exempt from reproach. |