====== 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

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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.

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In order to obtain //quadruple// counterpoint, the following example of a //double// counterpoint at the //tenth// is first proposed:

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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//.

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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:

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This counterpoint -- at least, as it is combined in the above example -- gives but few inversion exempt from reproach.