Indeed, one observation was very
good. A and D strings have slightly different tension but equal pressure because all of the numbers are rounded. That is, string gauges are not given in thousands of a millimeter, but in hundreds. However, such precision is already bordering on non-sense: half-rectified gut can never be measured with such precision because there is no modern kind of precision in historical guts. Thus, calculation of realistic values (precision to a tenth of a millimeter) is completely impracticable because figures always show unequal tension/feeling. It does not matter though because our fingers and bows do not really detect those small differences, plus we may require them for artistic purposes, for example, specific sound-colour or character of articulation or imitation of syllables, or just the matter of taste... "Historically informed" taste, of course.
The purpose of this calculator is to show that historically documented gauges give:
1. "equal feel"
2. resulting pressure/resistance in Kg really depends on instrument setup: shape of the bridge, finberboard, tailpiece, saddle, neck angle.
3. the flatter the angle - the better for the thicker gauges. "Mersenne" strings have been tested in a concert situation too with the e"-string envelope gauge 82 (stretches to ca0.76 at a'=465Hz), but the breaking angles pre-programmed in the calculator were even smaller! The sound was not acid-thin - inevitable kind of sound in the case with strings such as 0.58-0.64 - but beautiful, round, warm though, indeed, very high-pitched.
Recommended default stringing (415-430Hz): violin - 70-73,85-88,116-128,200-220, viola - 85-88,116-124,190-200,280-320. (Gs, Ds and Cs given in equivalent gut values). Choose thicker strings for 384-392Hz.
Do not hesitate to take contact for more precise advice on historically informed setup. Clicking on the image will take you to our contact info page.