harmonic

A harmonic is a wave or signal whose frequency is an integral (whole number) multiple of the frequency of the same reference signal or wave. As part of the harmonic series, the term can also refer to the ratio of the frequency of such a signal or wave to the frequency of the reference signal or wave.

Harmonics are series of notes that play along with the note you play on an istrument but progressively higher with each note and quieter with each note up. They are what give instruments their sound, or "Timbre".

Harmonics may also be called "overtones", "partials" or "upper partials". The difference between "harmonic" and "overtone" is that the term "harmonic" includes all of the notes in a series, including the fundamental frequency (e.g., the open string of a guitar).

A wave, as well as a signal whose frequency seems to be whole numbers or figures integral multiple of the frequencies of such identical reference signal as well as the wave, are called harmonics. Harmonic frequencies are multiples of the fundamental frequency.

In the time of Pythagoras, there were only three means (Bakker 2003; Brown 1975; Huffman 2005), the arithmetic, the geometric, and third that was called subcontrary, but the “name of which was changed to harmonic by Archytas of Tarentum and Hippasus and their followers, because it manifestly embraced the ratios of what ...

This use of the term probably arises from the use of "harmonics" to refer to ratios of notes in small integers producing an attractive sound, known in music theory as "harmony."

fundamental tone The fundamental tone is referred to as the first harmonic. This is generally louder than the other harmonics. A tone played at twice the frequency of the first harmonic is called the second harmonic. A tone played at four times the frequency of the first harmonic is called the fourth harmonic, and so on.

Harmonic rhythm is a term for how long each chord lasts. For example, in “Fly Me To The Moon” (Figure 9.1. 7), “I Will Survive” (Figure 9.1. 8), and “Love You Like A Love Song” (Figure 9.1.

For example, if a fundamental pitch vibrates at 10 Hz, the second harmonic would vibrate at 20 Hz, and the third harmonic would vibrate at 30 Hz. The second harmonic would vibrate twice as fast as the first, and the third harmonic would vibrate with three times the frequency of the fundamental tone.

HARMONIC PRINCIPLES. are characterized by the fact that they unite the tension of the Fibonacci-models with the closedness of the twelve-tone system. means an augmented octave, etc. In reality, these numbers express proportion and not semi-tone steps.

Harmonic mean for grouped data can be calculated by dividing the sum of observation (∑f) with the sum of reciprocal of given observations multiplied by their respective frequencies (∑f/x).

In algebra, a harmonic sequence, sometimes called a harmonic progression, is a sequence of numbers such that the difference between the reciprocals of any two consecutive terms is constant. In other words, a harmonic sequence is formed by taking the reciprocals of every term in an arithmetic sequence.