Using this definition, we derive the basic properties of a determinant that are useful in its evaluation. In particular, it is shown how the calculation of a determinant can be reduced to the calculation of determinants of lower order.

Sauveur stresses that the difference between the pure 5th (176 heptamerides) and the tempered 5th (175) is equal to 1: so the temperaments of all the other intervals will also be multiples of 1:

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Poll Hereford