The behavior of jump discontinuous function in timbre

The structure of every musical instrument is related to the applied topics of mathematics like logarithms, golden ratio, etc., and this paper practically explores into this topic to know how music is related to the mathematical concepts. It can be realized that our sensitivity to sound is linked to the logic of our brains. Every musical instrument has distinct sounds while playing the same frequency. Many people know that music is continuous in one frequency. But in the quality of the sound, the discontinuity occurs in some musical instruments. We can see how discontinuity occurs in such behavior of the musical waveform in one frequency.