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Equal temperament and Musical temperament

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Equal temperament and Musical temperament

Equal temperament vs. Musical 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. In musical tuning, a temperament is a tuning system that slightly compromises the pure intervals of just intonation to meet other requirements.

Similarities between Equal temperament and Musical temperament

Equal temperament and Musical temperament have 30 things in common (in Unionpedia): Circle of fifths, Diatonic and chromatic, Equal temperament, Frequency, Fret, Interval (music), Johann Sebastian Bach, Just intonation, List of meantone intervals, Modulation (music), Music and mathematics, Musical tuning, Octave, Perfect fifth, Piano tuning, Pythagorean tuning, Ratio, Schismatic temperament, Syntonic comma, The Well-Tempered Clavier, Well temperament, 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.

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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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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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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List of meantone intervals

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

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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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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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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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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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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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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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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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The list above answers the following questions

Equal temperament and Musical temperament Comparison

Equal temperament has 149 relations, while Musical temperament has 51. As they have in common 30, the Jaccard index is 15.00% = 30 / (149 + 51).

References

This article shows the relationship between Equal temperament and Musical temperament. To access each article from which the information was extracted, please visit:

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