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Most of the websites i have looked at, say that the frequency of middle C note is approximately 261.626 Hz. and that middle C on guitar is at the 5th string 3rd fret. but my tuner says the frequency at the 5th string 3rd fret is 130.81 Hz.
Conversely, all higher center frequencies for 1/2-octave bands can be defined from each other using the formula 121 2 ctr ctr fnn + = f. Then for each center frequency, the 1/4-octave low (high) frequency for each 1/2-octave band are (respectively) given by the formulae low 2 14 ffnn = and high 2 14 fnn = f.f we set/define the 13 th half-octave bandâs center frequency to be 13 1000 f ctr â¡ Hz, then all lower center frequencies for 1/2-octave bands can be defined from each other using the formula 121 2 ctr ctr ffnn â = .