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:

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.

Poll Hereford

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