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Interval ratio

Index Interval ratio

In music, an interval ratio is a ratio of the frequencies of the pitches in a musical interval. [1]

30 relations: A440 (pitch standard), C (musical note), Cent (music), Consonance and dissonance, Diminished third, E (musical note), Equal temperament, Frequency, Hertz, Integer, Interval (music), Inversion (music), Just intonation, Limit (music), Major second, Major third, Meantone temperament, Minor sixth, Multiplicative inverse, Music, Musical instrument, Musical tuning, Octave, Perfect fifth, Perfect fourth, Pitch (music), Pythagorean tuning, Ratio, Unison, 7-limit tuning.

A440 (pitch standard)

A440 or A4 (also known as the Stuttgart pitch), which has a frequency of 440 Hz, is the musical note of A above middle C and serves as a general tuning standard for musical pitch.

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C (musical note)

C (Do, Do, C) is the first note of the C major scale, the third note of the A minor scale (the relative minor of C major), and the fourth note (F, A, B, C) of the Guidonian hand, commonly pitched around 261.63 Hz.

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Cent (music)

The cent is a logarithmic unit of measure used for musical intervals.

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Consonance and dissonance

In music, consonance and dissonance are categorizations of simultaneous or successive sounds.

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Diminished third

In classical music from Western culture, a diminished third is the musical interval produced by narrowing a minor third by a chromatic semitone.

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E (musical note)

E is the third note of the C major scale, and mi in fixed-do solfège.

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Equal temperament

An equal temperament is a musical temperament, or a system of tuning, in which the frequency interval between every pair of adjacent notes has the same ratio.

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Frequency

Frequency is the number of occurrences of a repeating event per unit of time.

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Hertz

The hertz (symbol: Hz) is the derived unit of frequency in the International System of Units (SI) and is defined as one cycle per second.

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Integer

An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").

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Interval (music)

In music theory, an interval is the difference between two pitches.

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Inversion (music)

There are inverted chords, inverted melodies, inverted intervals, and (in counterpoint) inverted voices.

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Just intonation

In music, just intonation (sometimes abbreviated as JI) or pure intonation is any musical tuning in which the frequencies of notes are related by ratios of small whole numbers.

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Limit (music)

In music theory, limit or harmonic limit is a way of characterizing the harmony found in a piece or genre of music, or the harmonies that can be made using a particular scale.

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Major second

In Western music theory, a major second (sometimes also called whole tone) is a second spanning two semitones.

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Major third

In classical music from Western culture, a third is a musical interval encompassing three staff positions (see Interval number for more details), and the major third is a third spanning four semitones.

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Meantone temperament

Meantone temperament is a musical temperament, that is a tuning system, obtained by slightly compromising the fifths in order to improve the thirds.

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Minor sixth

In classical music from Western culture, a sixth is a musical interval encompassing six staff positions (see Interval number for more details), and the minor sixth is one of two commonly occurring sixths.

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Multiplicative inverse

In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the multiplicative identity, 1.

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Music

Music is an art form and cultural activity whose medium is sound organized in time.

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Musical instrument

A musical instrument is an instrument created or adapted to make musical sounds.

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Musical tuning

In music, there are two common meanings for tuning.

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Octave

In music, an octave (octavus: eighth) or perfect octave is the interval between one musical pitch and another with half or double its frequency.

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Perfect fifth

In music theory, a perfect fifth is the musical interval corresponding to a pair of pitches with a frequency ratio of 3:2, or very nearly so.

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Perfect fourth

In classical music from Western culture, a fourth spans exactly four letter names (staff positions), while a perfect fourth (harmonic series) always involves the same interval, regardless of key (sharps and flats) between letters. A perfect fourth is the relationship between the third and fourth harmonics, sounding neither major nor minor, but consonant with an unstable quality (additive synthesis). In the key of C, the notes C and F constitute a perfect fourth relationship, as they're separated by four semitones (C, C#, D, D#, E, F). Up until the late 19th century, the perfect fourth was often called by its Greek name, diatessaron. A perfect fourth in just intonation corresponds to a pitch ratio of 4:3, or about 498 cents, while in equal temperament a perfect fourth is equal to five semitones, or 500 cents. The perfect fourth is a perfect interval like the unison, octave, and perfect fifth, and it is a sensory consonance. In common practice harmony, however, it is considered a stylistic dissonance in certain contexts, namely in two-voice textures and whenever it appears above the bass. If the bass note also happens to be the chord's root, the interval's upper note almost always temporarily displaces the third of any chord, and, in the terminology used in popular music, is then called a suspended fourth. Conventionally, adjacent strings of the double bass and of the bass guitar are a perfect fourth apart when unstopped, as are all pairs but one of adjacent guitar strings under standard guitar tuning. Sets of tom-tom drums are also commonly tuned in perfect fourths. The 4:3 just perfect fourth arises in the C major scale between G and C.

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Pitch (music)

Pitch is a perceptual property of sounds that allows their ordering on a frequency-related scale, or more commonly, pitch is the quality that makes it possible to judge sounds as "higher" and "lower" in the sense associated with musical melodies.

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Pythagorean tuning

Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are based on the ratio 3:2.

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Ratio

In mathematics, a ratio is a relationship between two numbers indicating how many times the first number contains the second.

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Unison

In music, unison is two or more musical parts sounding the same pitch or at an octave interval, usually at the same time.

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7-limit tuning

7-limit or septimal tunings and intervals are musical instrument tunings that have a limit of seven: the largest prime factor contained in the interval ratios between pitches is seven.

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Redirects here:

Frequency ratio.

References

[1] https://en.wikipedia.org/wiki/Interval_ratio

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