On Double Counterpoint

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.

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.

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: 2018/08/11 01:06
  • by brian