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cherubini_counterpoint_and_fugue:on_double_counterpoint:inversion_at_the_thirteenth [2018/08/10 20:06] (current)
brian created
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 +====== On Double Counterpoint ======
 +===== First Section: Double Counterpoint in Two Parts =====
 +==== Inversion at the Thirteenth ====
  
 +Double counterpoint at the //​thirteenth//​ or //sixth// is obtained by the same method as the other double counterpoints;​ that is to say, by the two series of figures. These are they which belong to the counterpoint in question:
 +
 +^ Counterpoint ​ |  1  |  2  |  3  |  4  |  5  |  6  |  7  |  8  |  9  |  10  |  11  |  12  |  13  |
 +^ Inversion ​ |  13  |  12  |  11  |  10  |  9  |  8  |  7  |  6  |  5  |  4  |  3  |  2  |  1  |
 +
 +It is easily seen that two sixths in succession must not be employed in this kind of counterpoint. Since the //seventh// cannot be resolved in a regular manner, it must be employed as a passing discord.
 +
 +The //second//, //third//, //fourth//, //fifth//, and //ninth//, must be prepared by the //sixth// or by the //octave//, either above or below, and be saved by one of these intervals.
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex175a-1.png?​650 |}}
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex175a.mp3 | :​cherubini_counterpoint_and_fugue:​ex175a.ogg |}}
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex175b-1.png?​650 |}}
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex175b.mp3 | :​cherubini_counterpoint_and_fugue:​ex175b.ogg |}}
 +
 +The range of the //​thirteenth//​ serves as a limit to this counterpoint.
 +
 +An extended example of double counterpoint at the //​thirteenth//,​ or //sixth//, will now be given. This counterpoint is less frequently used than the counterpoints at the //octave//, at the //tenth//, and at the //​twelfth//​.
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex176-1.png?​800 |}}
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex176.mp3 | :​cherubini_counterpoint_and_fugue:​ex176.ogg |}}
 +
 +This counterpoint is inverted by first transposing the upper part at the //​thirteenth//,​ below the theme. Then the theme should be transposed a //sixth// higher, or a //third// lower, while the counterpoint does not stir; the theme may also be transposed a //third// lower, and the counterpoint a //third// higher, //​etc//​. ​
  • cherubini_counterpoint_and_fugue/on_double_counterpoint/inversion_at_the_thirteenth.txt
  • Last modified: 2018/08/10 20:06
  • by brian