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l’istitutioni harmoniche - Zarlino (1578) P46 Ch. 36

Updated: Sep 30, 2023

l’istitutioni harmoniche , page 46 chapter 35 & 36
differenze. L'Harmonica poi chiamo quella, che con tal termine farra inequali non solo le sue differenze, ma le sue proportioni ancora; di maniera che l'istessa proportione, che sitroua tra esse differenze, si ritroui etiandia nelli suoi estremi termini; come qui sott si vede.

differences. Then I call the Harmonica the one which with this term will make unequal not only its differences, but also its proportions; in such a way that the same proportion, which is found between these differences, is also found in its extreme terms; as shown below.

dividendisi adunque le proportioni regolatamente per vno delli modi mostrati, fa bisogno di mostrare separatamente in qual modo potemo facilmente ritrouare il termine mezano di ciascuna il quale sia il suo diuisore: pero incominciando dalla prima, vederemo come si possa ritrouare il Diuisore Arithmetico, & in qual modo og ni possa a da lui esser diuisa

thus dividing the proportions regularly by one of the ways shown, it is necessary to show separately how we can easily find the middle term of each which is its divisor: but starting from the first, we will see how we can find the Arithmetic Divisor, & in how each can be divided by him

Della Proportionalita, o Divisione arithmetica Ch 36

Of Proportionality, or Arithmetic Division Chapter 36


Google Image Translation

Love the fact that google can now translate an image, but there is still work to do, and whilst it helps in some ways it does not help me truly understand.

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