If the string on a violin is 25.4cm long and produces a fundamental tone of frequency of 440Hz, by how much must it be shortened to produce a fundamental tone of frequency of 523.3Hz.

Question

is there a specific formula to follow? like, how do you know what to do?

Answer 1

fundamental length is 1/2 wavelength long.
so if the freq changes by 523.3/440, then lambda changes by the inverse factor, so new length is

1/2 *origlamnda*440/523.3
where orig lambda is 2*25.4cm

Answer 2

i don't think 47% is correct number, eslpeiacly when we paid attention to massive vote fraud with huge numbers like 141% in Florida (along with other key states. if not fraud (if it's really massive) Romney should win that election