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cherubini_counterpoint_and_fugue:on_double_counterpoint:inversion_at_the_fourteenth [2018/08/10 20:15] (current)
brian created
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 +====== On Double Counterpoint ======
 +===== First Section: Double Counterpoint in Two Parts =====
 +==== Inversion at the Fourteenth ====
  
 +It remains, finally, to speak of double counterpoint at the //​fourteenth//​ or //​seventh//​. Here are two series of figures which give the inversions:
 +
 +^ Counterpoint ​ |  1  |  2  |  3  |  4  |  5  |  6  |  7  |  8  |  9  |  10  |  11  |  12  |  13  |  14  |
 +^ Inversion ​ |  14  |  13  |  12  |  11  |  10  |  9  |  8  |  7  |  6  |  5  |  4  |  3  |  2  |  1  |
 +
 +According to the above combinations,​ two //thirds// in succession must be avoided, particularly by similar movement; since, in transposition,​ they produce two //fifths//. Every concord, as well as the //octave// and the //sixth//, which become discords when inverted, should be prepared and resolved either by the //third//, or by the //fifth//.
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex177a-1.png?​650 |}}
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex177a.mp3 | :​cherubini_counterpoint_and_fugue:​ex177a.ogg |}}
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex177b-1.png?​650 |}}
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex177b.mp3 | :​cherubini_counterpoint_and_fugue:​ex177b.ogg |}}
 +
 +The range of the //​fourteenth//​ serves as the limit of this counterpoint.
 +
 +> Extended example of counterpoint at the fourteenth
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex178a-1.png?​800 |}}
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex178a.mp3 | :​cherubini_counterpoint_and_fugue:​ex178a.ogg |}}
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex178b-1.png?​800 |}}
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex178b.mp3 | :​cherubini_counterpoint_and_fugue:​ex178b.ogg |}}
 +
 +> 2nd manner of inverting: Transpose the theme a //seventh// above, and the counterpoint an //octave// below
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex178c-1.png?​800 |}}
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex178c.mp3 | :​cherubini_counterpoint_and_fugue:​ex178c.ogg |}}
 +
 +> 3rd manner of inverting: Transpose the theme, and the counterpoint,​ a //seventh// below
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex178d-1.png?​800 |}}
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex178d.mp3 | :​cherubini_counterpoint_and_fugue:​ex178d.ogg |}}
  • cherubini_counterpoint_and_fugue/on_double_counterpoint/inversion_at_the_fourteenth.txt
  • Last modified: 2018/08/10 20:15
  • by brian