If the frets are removed from the fretboard, the harmonics would still exist in the exact same locations. They are a phenomenon of nature and physics located directly above the 5th, 7th, and 12th Frets and the 12TET octave is derived from the exact locations of the harmonics. On a guitar, the frets are not spaced equally to create the 12 equal steps in pitch. The frequency of notes is derived mathematically using fractional exponents meaning the exact locations of the harmonics would have had to been known and used to help understand the mathematics of how to space the frets to create twelve equal steps in pitch approximately 2,500 years ago by Pythagoras. |