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cherubini_counterpoint_and_fugue:on_double_counterpoint:triple_and_quadruple_counterpoint_at_the_tenth [2018/08/10 22:08] (current)
brian created
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 +====== 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.
  • cherubini_counterpoint_and_fugue/on_double_counterpoint/triple_and_quadruple_counterpoint_at_the_tenth.txt
  • Last modified: 2018/08/10 22:08
  • by brian