Similarly, a leisurely pace of chord change is a slow harmonic rhythm.
These were coherent harmonic and timbral themes which were either present in or absent from a clip.
More precisely, Bohr's selection rule states that the transition from a stationary state n′ to another stationary state n″ is allowed if and only if there exists a τth harmonic in the classical motion of the electron in the initial stationary state; if there is no τth harmonic in the classical motion, then transitions between stationary states whose separation is τ are not allowed quantum mechanically.
The following example shows the harmonic series for the fundamental pitch C.
Spherical harmonic functions arise when the spherical coordinate system is used.
This same property of harmonic oscillators is the underlying principle of all accurate timekeeping.
Similarly, the frequency of the third harmonic (labeled n = 3) is three times that of the fundamental.
The second harmonic is the first overtone, the third harmonic is the second overtone, and so forth.
But the ensuing two notes lead violently away from this harmonic stability, with the 10th note a totally unrelated C sharp.
…in 1959 on the album Kind of Blue), a plunge into a vagrant harmonic no-man’s-land that unfortunately infected much of jazz.
The generality of this argument accounts for the fact that harmonic oscillators are abundantly observed in common experience.
…motion is called harmonic because musical instruments make such vibrations that in turn cause corresponding sound waves in air.
The motion is called harmonic because musical instruments make such vibrations that in turn cause corresponding sound waves in air.
In this manner, the principles of equidistance and harmonic euphony are accommodated within one tonal-harmonic system.
It is customary to refer to the fundamental as the first harmonic; n = 2 gives the second harmonic or first overtone, and so on.
Indeed, the frequency of the 16th harmonic as played on the piano is about one-half step higher than the exact frequency of the harmonic.
Harmonic functions can also be defined as functions that satisfy Laplace’s equation, a condition that can be shown to be equivalent to the first definition.
This machine, used for the harmonic analysis of tidal observations, embodied 11 sets of mechanical integrators, one for each harmonic to be measured.
Even though inversions do not necessarily alter the harmonic implications of chords, root positions do convey a greater sense of harmonic stability, since the fundamental tone, the chord root, appears in the bass, acoustically its natural habitat.
Although the harmonic style of the common practice period remained a basic framework, the history of music from Mozart’s time to the present shows a constant increase in harmonic density, or the amount of chromaticism and frequent chord changes present.
harmonic
adj all
- relating to vibrations that occur as a result of vibrations in a nearby body
adj pert
- of or relating to harmony as distinct from melody and rhythm
Example: subtleties of harmonic change and tonality
noun cognition
- a tone that is a component of a complex sound
adj all
- involving or characterized by harmony
noun attribute
- any of a series of musical tones whose frequencies are integral multiples of the frequency of a fundamental
adj pert
- of or relating to harmonics
adj pert
- of or relating to the branch of acoustics that studies the composition of musical sounds
Example: the sound of the resonating cavity cannot be the only determinant of the harmonic response
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