This volume is an aid to the study of the “harmonic series.”
It is left to the teacher to explain, by the ratios found in the overtones of the harmonic series, the validity of this statement.
The euphonium gives out the fundamental, or first note of the harmonic series, readily, but no harmonic above the eighth.
The unisonous quality of octaves is easily explained when we examine the “harmonic series” of upper partials (see Sound).
The harmonic series consists of the harmonics from the 1st to the 8th.
We thus find a fundamental difference between the trumpet and the bugle as regards the harmonic series.
harmonic series A series whose terms are in harmonic progression, especially the series 1 + ^{1}/_{2} + ^{1}/_{3} + ^{1}/_{4} + .... and so on. |