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2. The Experiment
...as they admit also in the treatises, pure math does not work!
“If the strings have the same thickness and length and one produces a low note, which is a C, when it is stretched with a weight of 1 pound, the other must be stretched with 4 pounds to make it rise of one octave, insofar as the wheights are twice the harmonic intervals to which one makes the string rise; now, the interval of the octave is 2 to 1, of which 4 to 1 is the square [...]
It is necessary to further add to the aforementioned weight the sixteenth part of the larger weight, or one forth of the smaller, to achieve a proper just chord.”
from Mersenne....
So he also added a coefficient, even though he does not explain why...
3. Mystery unveiled: Strings Do Stretch!! …but… not in the same way, not of the same cohefficient… it depends on how are made and, first of all, from their gauge We need to consider the many factors affecting our pure math calculations: the first is, of course, the string! A string which is low twisted and maybe
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baroque music, double-bass strings, early music, equal tension, gut strings, gut strings history, gut strings maintenance, gut strings manufacture, viol strings, viola da gamba strings, viola strings, violin strings, violoncello strings
The breaking index rule. The most important rule you cannot escape from (as far as you are voted to gut strings): at a given string length, a string of a given material, will always break at the same pitch, no matter how big it is.Mindblowing or intuitive? Probably both of them.Looking forward to your comments
Read More4. Complications! Another thing affecting a lot our pure math is the arching of the bridge: of course low first (and fourth? ) need to be bigger than high third and second. So, scaling tension is required Plucked or bowed instrument: the big string offers more friction under the bow so someone may think a smaller string
Read More…and wound strings? …so once we got the idea, we can face the question: and with the wound ones? should we increase or decrease the tension? (originally a facebook live)
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