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41 equal temperament information


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). Play Each step represents a frequency ratio of 21/41, or 29.27 cents (Play), an interval close in size to the septimal comma. 41-ET can be seen as a tuning of the schismatic,[1] magic and miracle[2] temperaments. It is the second smallest equal temperament, after 29-ET, whose perfect fifth is closer to just intonation than that of 12-ET. In other words, is a better approximation to the ratio than either or .

  1. ^ "Schismic Temperaments ", Intonation Information.
  2. ^ "Lattices with Decimal Notation", Intonation Information.

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41 equal temperament

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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...

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Equal temperament

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An equal temperament is a musical temperament or tuning system that approximates just intervals by dividing an octave (or other interval) into steps such...

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31 equal temperament

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In music, 31 equal temperament, 31-ET, which can also be abbreviated 31-TET (31 tone ET) or 31-EDO (equal division of the octave), also known as tricesimoprimal...

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72 equal temperament

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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...

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53 equal temperament

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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...

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22 equal temperament

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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...

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96 equal temperament

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In music, 96 equal temperament, called 96-TET, 96-EDO ("Equal Division of the Octave"), or 96-ET, is the tempered scale derived by dividing the octave...

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17 equal temperament

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

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15 equal temperament

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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...

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Septimal tritone

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does distinguish them but doesn't match them closely. 31 equal temperament and 41 equal temperament both distinguish between and closely match them. The lesser...

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34 equal temperament

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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...

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Musical temperament

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requirements. Most modern Western musical instruments are tuned in the equal temperament system. Tempering is the process of altering the size of an interval...

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Quarter tone

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evidenced proposal of the equally-tempered quarter tone scale, or 24 equal temperament, was made by 19th-century music theorists Heinrich Richter in 1823...

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58 equal temperament

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In music, 58 equal temperament (also called 58-ET or 58-EDO) divides the octave into 58 equal parts of approximately 20.69 cents each. It is notable as...

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Septimal semicomma

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19 equal temperament and 31 equal temperament, but not in 22 equal temperament, 34 equal temperament, 41 equal temperament, or 53 equal temperament. Haluska...

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Semitone

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equivalent if and only if twelve-tone equal temperament is used; for example, they are not the same thing in meantone temperament, where the diatonic semitone...

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List of pitch intervals

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meantone temperaments). The music program Logic Pro uses also 1⁄2-comma meantone temperament. Equal-tempered refers to X-tone equal temperament with intervals...

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Ditone

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describe the interval of a major third in equal temperament. For example, "In modern acoustics, the equal-tempered semitone has 100 cents, the tone 200...

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Index of music articles

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15 equal temperament 17 equal temperament 19 equal temperament 22 equal temperament 23 equal temperament 31 equal temperament 34 equal temperament 41 equal...

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Just intonation

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of fixed pitch, such as electric pianos, are commonly tuned using equal temperament, in which all intervals other than octaves consist of irrational-number...

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Major sixth

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(12/7) is approximated in 53 tone equal temperament by an interval of 41 steps or 928 cents. Major sixth (equal temperament) The file plays middle C, followed...

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Sixth tone

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producing 36 pitches per octave. Septimal sixth tone 36 equal temperament 72 equal temperament Septimal diesis Gann, Kyle (September 16, 2019). The Arithmetic...

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Diesis

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ratio 5:4), equal to 128:125 or about 41.06 cents. In 12-tone equal temperament (on a piano for example) three major thirds in a row equal an octave, but...

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Neutral interval

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neither a major nor minor, but instead in between. For example, in equal temperament, a major third is 400 cents, a minor third is 300 cents, and a neutral...

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Major Locrian scale

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system. It is notable as one of the five proper seven-note scales in equal temperament, and as strictly proper in any meantone tuning with fifths flatter...

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Perfect fifth

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normally use an equal-tempered version of the perfect fifth, enabling the instrument to play in all keys. In 12-tone equal temperament, the frequencies...

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George Secor

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approximated in 31 Play, 41 Play, and 72 equal temperament Play. For tuning purposes, a secor of seven steps of 72 equal temperament is often used. Two secors...

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