harmonic series
The term "harmonic series" has distinct meanings in mathematics and music, each crucial to their respective fields.
🇺🇸 US Voice:
🇬🇧 UK Voice:
Definition
C1Mathematics
(technical, academic)An infinite series formed by summing the reciprocals of positive integers, which diverges.
Example
- The harmonic series 1 + 1/2 + 1/3 + 1/4 + ... is a classic example of a divergent series.
C1Music
(technical, academic)A sequence of sounds where each frequency is an integer multiple of a base frequency, forming natural overtones.
Example
- Understanding the harmonic series is essential for grasping the principles of musical tuning and scales.
Similar
Terms that have similar or relatively close meanings to "harmonic series":