adjective
harmonic
Relating to mathematical relationships based on reciprocals.
They calculated the harmonic mean of the rates.
Etymology
The Greek root names joining or harmony. Reciprocal relationships received the harmonic name through numerical relationships associated with musical intervals.
More examples
- The exercise compared arithmetic and harmonic averages.
- A harmonic progression appeared in the sequence.
- The formula used the reciprocals to obtain a harmonic mean.
Forms
harmonic
Similar words
- arithmetic
- An arithmetic mean averages values directly; a harmonic mean averages their reciprocals and takes the reciprocal.
- geometric
- A geometric mean uses products and roots; a harmonic mean uses reciprocals.