Eeyore said:
The technical definition of an overtone is no different from a harmonic
other than
its number.
1st overtone = 2nd harmonic etc.
Overtones are a superset of the set of harmonics:
Wikipedia:
"
Overtone:
An overtone is a sinusoidal component of a waveform, of greater frequency
(usually an integer number multiple) than its fundamental frequency. The
term is usually used in music, rather than wave physics. (see standing wave)
Harmonic:
In acoustics and telecommunication, the harmonic of a wave is a component
frequency of the signal that is an integer multiple of the fundamental
frequency. For example, if the frequency is f, the harmonics have frequency
2f, 3f, 4f, etc. The harmonics have the property that they are all periodic
at the signal frequency, and due to the properties of Fourier series, the
sum of the signal and its harmonics is also periodic at that frequency.
Many oscillators, including the human voice, a bowed violin string, or a
Cepheid variable star, are more or less periodic, and thus can be decomposed
into harmonics.
Most passive oscillators, such as a plucked guitar string or a struck drum
head or struck bell, naturally oscillate at several frequencies known as
overtones. When the oscillator is long and thin, such as a guitar string, a
trumpet, or a chime, the overtones are still integer multiples of the
fundamental frequency. Hence, these devices can mimic the sound of singing
and are often incorporated into music. Overtones whose frequency is not an
integer multiple of the fundamental are called inharmonic and are often
perceived as unpleasant.
The untrained human ear typically does not perceive harmonics as separate
notes. Instead, they are perceived as the timbre of the tone. In a musical
context, overtones which are not exactly integer multiples of the
fundamental are known as inharmonics. Inharmonics which are not close to
harmonics are known as partials. Bells have more clearly perceptible
partials than most instruments. Antique singing bowls are well known for
their unique quality of producing multiple harmonic overtones or
multiphonics.
The tight relation between overtones and harmonics in music often leads to
their being used synonymously in a strictly musical context, but they are
counted differently leading to some possible confusion.
"
That itself has no relation to the production of 'harmonics' that are not
integer
multiples of the fundamental. I'd like to see some more evidence of this
alleged
behaviour too.
See the Wikipedia article about harmonics, above.
In general, percussion instruments (including stringed instruments that use
struck or plucked strings) have equations of motion that are nonlinear
enough that there are inharmonic overtones.