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cherubini_counterpoint_and_fugue:on_double_counterpoint:inversion_at_the_twelfth [2018/08/10 19:55] (current)
brian created
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 +====== On Double Counterpoint ======
 +===== First Section: Double Counterpoint in Two Parts =====
 +==== Inversion at the Twelfth ====
  
 +These are the two rows of figures which should be compared together for obtaining the inversions of double counterpoint at the //​twelfth//:​
 +
 +^ Counterpoint ​ |  1  |  2  |  3  |  4  |  5  |  6  |  7  |  8  |  9  |  10  |  11  |  12  |
 +^ Inversion ​ |  12  |  11  |  10  |  9  |  8  |  7  |  6  |  5  |  4  |  3  |  2  |  1  |
 +
 +It will be seen that the //unison// or //octave// changes, in counterpoint of this kind, into a //​twelfth//,​ the //second// into an //​eleventh//,​ //etc//.
 +
 +The //sixth//, which by inversion becomes a //​seventh//,​ should be prepared either in the upper part, or the lower; and the bass should then descend one note or degree.
 +
 +> Examples from Marpurg
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex173a-1.png?​650 |}}
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex173a.mp3 | :​cherubini_counterpoint_and_fugue:​ex173a.ogg |}}
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex173b-1.png?​650 |}}
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex173b.mp3 | :​cherubini_counterpoint_and_fugue:​ex173b.ogg |}}
 +
 +This is an extended example of double counterpoint at the //​twelfth//:​
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex174a-1.png?​800 |}}
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex174a.mp3 | :​cherubini_counterpoint_and_fugue:​ex174a.ogg |}}
 +
 +> 1st manner of inverting: Transpose the counterpoint a //fourth// below, while the theme remains in its place
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex174b-1.png?​650 |}}
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex174b.mp3 | :​cherubini_counterpoint_and_fugue:​ex174b.ogg |}}
 +
 +> 2nd manner of inverting: Transpose the theme a //twelfth// below, while the counterpoint remains in its place
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex174c-1.png?​650 |}}
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex174c.mp3 | :​cherubini_counterpoint_and_fugue:​ex174c.ogg |}}
 +
 +> 3rd manner of inverting: Transpose the theme an //octave// below, and the counterpoint a //fifth// below
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex174d-1.png?​650 |}}
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex174d.mp3 | :​cherubini_counterpoint_and_fugue:​ex174d.ogg |}}
 +
 +> 4th manner of inverting: Transpose the theme a //fifth// above, and the counterpoint an //octave// below
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex174e-1.png?​650 |}}
 +
 +{{ :​cherubini_counterpoint_and_fugue:​ex174e.mp3 | :​cherubini_counterpoint_and_fugue:​ex174e.ogg |}}
 +
 +This counterpoint is one of the most used, and one of the most fertile in resources.
  • cherubini_counterpoint_and_fugue/on_double_counterpoint/inversion_at_the_twelfth.txt
  • Last modified: 2018/08/10 19:55
  • by brian