What is the mathematical definition of a Harmonic?
A frequency is harmonic if it is an integer multiple of the fundamental frequency, or the frequency obtained by plucking the string as is and not pressing down at any point. The first harmonic is the fundamental frequency (frequency is measured in Hertz – oscillations per second). The second harmonic is twice the frequency of the fundamental; the third harmonics is thrice the fundamental, and so forth. It can be seen with a fundamental frequency of 100 Hz, the second harmonic is 200 Hz, the third is 300 Hz, the fourth is 400 Hz, and so forth Harmonics can also be thought of as musical intervals rather than mathematical relationships. The first harmonic is the fundamental (open string). The second harmonic is an octave (or the same note as the fundamental but with double the frequency) above. The third harmonic is an octave plus a fifth higher than the fundamental. The fourth harmonic is two octaves above the fundamental. The fifth harmonic is a major third higher, the sixth is an addit
