Giuseppe Tartini - Lettere e documenti / Pisma in dokumenti / Letters and Documents - Volume / Knjiga / Volume II

262 octave fifth ? w w w 1 2 3 ottava quinta un terzo della corda la metà della corda il tutto della corda 1 whole string 2 half of the string 3 a third of the string From the division of the string into three parts one proceeds to the division of the same into four parts, as 4 succeeds 3; and from this division the sesquithird, that is to say the fourth, arises, though always compared and related to the last term found, namely 3, which means Gsolreut, since one must always compare the term to be found to the last term found. Then from 4 one passes to 5, and the string is divided into five equal parts, and the sesquifourth is born, that is to say the major 3rd, compared to 4. One proceeds with this rule as long as one wants, dividing and comparing, and in this manner one discovers the immense errors our poor music is involved in, both in the experimentation of many consonances which it does not possess and in the intonation of many notes which are indeed outside their proper tone. One will find in this way that the seventh is a consonance, that the scale is lacking one note, that the fourth note of our common scale with a major 3rd is outside its intonation, and hence arises the tritone with the seventh note of the same scale. And in brief a hundred other things will be found that indicate our deficiencies, which one can see expressed in this scale consonant seventh varying intonation & ? w w w w w w w w w w w w w w wn w w# w 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 s e t t i m a c o n s o n a n t e i n t o n a z i o n e v a r i a ottava quinta quarta terza maggiore terza minore seconda maggiore seconda minore tuono frà tuono frà tuono frà tuono frà tuono frà tuono frà tuono frà tuono frà semituono frà semituono frà 2 · 1 3 · 2 4 · 3 5 · 4 6 · 5 7 · 6 8 · 7 9 · 8 10 · 9 11 · 10 12 · 11 13 · 12 14 · 13 15 · 14 16 · 15 17 · 16 18 · 17 semitone between 18 ∙ 17 semitone between 17 ∙ 16 tone between 16 ∙ 15 tone between 15 ∙ 14 tone between 14 ∙ 13 tone between 13 ∙ 12 tone between 12 ∙ 11 tone between 11 ∙ 10 tone between 10 ∙ 9 tone between 9 ∙ 8 minor second 8 ∙ 7 major second 7 ∙ 6 minor third 6 ∙ 5 major third 5 ∙ 4 fourth 4 ∙ 3 fifth 3 ∙ 2 octave 2 ∙ 1