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Musical temperament

Index Musical temperament

In musical tuning, a temperament is a tuning system that slightly compromises the pure intervals of just intonation to meet other requirements. [1]

51 relations: Beat (acoustics), Circle of fifths, Comma (music), Common practice period, Diatonic and chromatic, Equal temperament, Frequency, Fret, Integer, Interval (music), Johann Sebastian Bach, Just intonation, Key (music), List of meantone intervals, Major third, Meantone temperament, Modulation (music), Music and mathematics, Musical tuning, Neapolitan chord, Octave, Perfect fifth, Piano tuning, Pietro Aron, Pythagorean comma, Pythagorean interval, Pythagorean tuning, Quartal and quintal harmony, Quarter-comma meantone, Ratio, Regular temperament, Renaissance music, Rita Steblin, Romantic music, Schismatic temperament, String (music), Syntonic comma, Tertian, The Well-Tempered Clavier, Well temperament, Whole tone scale, Wolf interval, 15 equal temperament, 17 equal temperament, 19 equal temperament, 22 equal temperament, 31 equal temperament, 34 equal temperament, 41 equal temperament, 53 equal temperament, ..., 72 equal temperament. Expand index (1 more) »

Beat (acoustics)

In acoustics, a beat is an interference pattern between two sounds of slightly different frequencies, perceived as a periodic variation in volume whose rate is the difference of the two frequencies.

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Circle of fifths

In music theory, the circle of fifths (or circle of fourths) is the relationship among the 12 tones of the chromatic scale, their corresponding key signatures, and the associated major and minor keys.

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Comma (music)

In music theory, a comma is a minute interval, the difference resulting from tuning one note two different ways.

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Common practice period

In the history of European art music, the common practice period is the era between the formation and the decline of the tonal system.

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Diatonic and chromatic

Diatonic (διατονική) and chromatic (χρωματική) are terms in music theory that are most often used to characterize scales, and are also applied to musical instruments, intervals, chords, notes, musical styles, and kinds of harmony.

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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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Fret

A fret is a raised element on the neck of a stringed instrument.

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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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Johann Sebastian Bach

Johann Sebastian Bach (28 July 1750) was a composer and musician of the Baroque period, born in the Duchy of Saxe-Eisenach.

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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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Key (music)

In music theory, the key of a piece is the group of pitches, or scale, that forms the basis of a music composition in classical, Western art, and Western pop music.

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List of meantone intervals

The following is a list of intervals of extended meantone temperament.

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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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Modulation (music)

In music, modulation is most commonly the act or process of changing from one key (tonic, or tonal center) to another.

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Music and mathematics

Music theory has no axiomatic foundation in modern mathematics, yet the basis of musical sound can be described mathematically (in acoustics) and exhibits "a remarkable array of number properties".

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Musical tuning

In music, there are two common meanings for tuning.

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Neapolitan chord

In music theory, a Neapolitan chord (or simply a "Neapolitan") is a major chord built on the lowered (flatted) second (supertonic) scale degree.

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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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Piano tuning

Piano tuning is the act of making minute adjustments to the tensions of the strings of an acoustic piano to properly align the intervals between their tones so that the instrument is in tune.

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Pietro Aron

Pietro Aron, also known as Pietro (or Piero) Aaron (ca. 1480 – after 1545), was an Italian music theorist and composer.

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Pythagorean comma

In musical tuning, the Pythagorean comma (or ditonic comma), named after the ancient mathematician and philosopher Pythagoras, is the small interval (or comma) existing in Pythagorean tuning between two enharmonically equivalent notes such as C and B, or D and C. It is equal to the frequency ratio (1.5)12/128.

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Pythagorean interval

In musical tuning theory, a Pythagorean interval is a musical interval with frequency ratio equal to a power of two divided by a power of three, or vice versa.

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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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Quartal and quintal harmony

In music, quartal harmony is the building of harmonic structures with a distinct preference for the intervals of the perfect fourth, the augmented fourth and the diminished fourth.

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Quarter-comma meantone

Quarter-comma meantone, or -comma meantone, was the most common meantone temperament in the sixteenth and seventeenth centuries, and was sometimes used later.

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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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Regular temperament

Regular temperament is any tempered system of musical tuning such that each frequency ratio is obtainable as a product of powers of a finite number of generators, or generating frequency ratios.

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Renaissance music

Renaissance music is vocal and instrumental music written and performed in Europe during the Renaissance era.

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Rita Steblin

Rita Katherine Steblin (born April 22, 1951, Chilliwack, British Columbia, Canada) is a musicologist, specializing in archival work combining music history, iconography and genealogical research.

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Romantic music

Romantic music is a period of Western classical music that began in the late 18th or early 19th century.

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Schismatic temperament

A schismatic temperament is a musical tuning system that results from tempering the schisma of 32805:32768 (1.9537 cents) to a unison.

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String (music)

A string is the vibrating element that produces sound in string instruments such as the guitar, harp, piano (piano wire), and members of the violin family.

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Syntonic comma

In music theory, the syntonic comma, also known as the chromatic diesis, the comma of Didymus, the Ptolemaic comma, or the diatonic comma is a small comma type interval between two musical notes, equal to the frequency ratio 81:80 (.

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Tertian

In music theory, tertian (tertianus, "of or concerning thirds") describes any piece, chord, counterpoint etc.

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The Well-Tempered Clavier

The Well-Tempered Clavier, BWV 846–893, is a collection of two sets of preludes and fugues in all 24 major and minor keys, composed for solo keyboard by Johann Sebastian Bach.

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Well temperament

Well temperament (also good temperament, circular or circulating temperament) is a type of tempered tuning described in 20th-century music theory.

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Whole tone scale

In music, a whole tone scale is a scale in which each note is separated from its neighbours by the interval of a whole tone.

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Wolf interval

In music theory, the wolf fifth (sometimes also called Procrustean fifth, or imperfect fifth) Paul, Oscar (1885).

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15 equal temperament

In music, 15 equal temperament, called 15-TET, 15-EDO, or 15-ET, is a tempered scale derived by dividing the octave into 15 equal steps (equal frequency ratios).

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17 equal temperament

In music, 17 tone equal temperament is the tempered scale derived by dividing the octave into 17 equal steps (equal frequency ratios).

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19 equal temperament

In music, 19 equal temperament, called 19 TET, 19 EDO ("Equal Division of the Octave"), or 19 ET, is the tempered scale derived by dividing the octave into 19 equal steps (equal frequency ratios).

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22 equal temperament

In music, 22 equal temperament, called 22-tet, 22-edo, or 22-et, is the tempered scale derived by dividing the octave into 22 equal steps (equal frequency ratios).

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31 equal temperament

In music, 31 equal temperament, 31-ET, which can also be abbreviated 31-TET, 31-EDO (equal division of the octave), also known as tricesimoprimal, is the tempered scale derived by dividing the octave into 31 equal-sized steps (equal frequency ratios).

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34 equal temperament

In musical theory, 34 equal temperament, also referred to as 34-tet, 34-edo or 34-et, is the tempered tuning derived by dividing the octave into 34 equal-sized steps (equal frequency ratios).

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41 equal temperament

In music, 41 equal temperament, abbreviated 41-tET, 41-EDO, or 41-ET, is the tempered scale derived by dividing the octave into 41 equally sized steps (equal frequency ratios).

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53 equal temperament

In music, 53 equal temperament, called 53 TET, 53 EDO, or 53 ET, is the tempered scale derived by dividing the octave into 53 equal steps (equal frequency ratios).

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72 equal temperament

In music, 72 equal temperament, called twelfth-tone, 72-tet, 72-edo, or 72-et, is the tempered scale derived by dividing the octave into twelfth-tones, or in other words 72 equal steps (equal frequency ratios).

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Temper out, Temperament (music), Unequal temperament.

References

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

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