When a pitch is played, the main note heard is the fundamental (the note itself), but there is also present a series of other pitches above it called overtones or harmonics. The first overtone is an octave above the fundamental, the second is an octave and a fifth above the fundamental, the third is two octaves, the fourth is two octaves and a third, and so on, with each following overtone closer to the last than the last was to the tone before it.
The series of overtones (harmonic series) for the fundamental pitch C would consist of C-C3-G3-C4-E4 G4-B-Flat4*-C5-D5 E5-F-Sharp5*-G5-A5*-B Flat5*-B5-C6.
