Do changes in frequency or vibrating string length affect the string tension?
The string tension is quadratic both to the change in frequency as well as the change in vibrating string length. If the string is tuned only a little higher, the string tension and thus the pressure on the instrument’s soundboard increase disproportionately. The instrument could be quickly overburdened. The same applies to the change in the vibrating string length. It is therefore very important to make sure you always select the right vibrating string length for the instrument.
The Taylor formula describes the relationship between the string tension F of a string depending on the string mass m, the frequency f and the vibrating string length VL. It states: F ~ m x f2 x VL2
The string tension indicated in the Thomastik-Infeld catalog (converted into kg or lb) refers to the respective vibrating string length, which is also stated in the catalog. There are some strings that can also be used for a varying vibration string length. This range is indicated separately. Please note that the string tension changes in this case: if the length increases, the string tension is squared!