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  2. 12 equal temperament - Wikipedia

    en.wikipedia.org/wiki/12_equal_temperament

    12-tone equal temperament chromatic scale on C, one full octave ascending, notated only with sharps. Play ascending and descending ⓘ. 12 equal temperament (12-ET) [a] is the musical system that divides the octave into 12 parts, all of which are equally tempered (equally spaced) on a logarithmic scale, with a ratio equal to the 12th root of 2 (≈ 1.05946).

  3. Equal temperament - Wikipedia

    en.wikipedia.org/wiki/Equal_temperament

    12 tone equal temperament chromatic scale on C, one full octave ascending, notated only with sharps. Play ascending and descending ⓘ. An equal temperament is a musical temperament or tuning system that approximates just intervals by dividing an octave (or other interval) into steps such that the ratio of the frequencies of any adjacent pair of notes is the same.

  4. Musical temperament - Wikipedia

    en.wikipedia.org/wiki/Musical_temperament

    This phenomenon gives rise to infinite shades of key-colors, which are lost in the modern standard version: 12-tone equal temperament (12-TET). Unlike meantone temperament , which alters the fifth to "temper out" the syntonic comma, 12-TET tempers out the Pythagorean comma , thus creating a cycle of fifths that repeats itself exactly after 12 ...

  5. Chromatic scale - Wikipedia

    en.wikipedia.org/wiki/Chromatic_scale

    The chromatic scale is a musical scale with twelve pitches, each a semitone, also known as a half-step, above or below its adjacent pitches. As a result, in 12-tone equal temperament (the most common tuning in Western music), the chromatic scale covers all 12 of the available pitches. Thus, there is only one chromatic scale.

  6. Pythagorean tuning - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_tuning

    Since the average size of the 12 fifths must equal exactly 700 cents (as in equal temperament), the other one must have a size of 700 − 11ε cents, which is about 678.495 cents (the wolf fifth). As shown in the table, the latter interval, although enharmonically equivalent to a fifth, is more properly called a diminished sixth ( d6 ).

  7. Chromatic circle - Wikipedia

    en.wikipedia.org/wiki/Chromatic_circle

    The circle of fifths in 12-tone equal temperament drawn within the chromatic circle as a star dodecagon [1] For any positive integer N, one can represent all of the equal-tempered pitch classes of N-tone equal temperament by the cyclic group of order N, or equivalently, the residue classes modulo twelve, Z/NZ.

  8. Meantone temperament - Wikipedia

    en.wikipedia.org/wiki/Meantone_temperament

    Twelve-tone equal temperament (12 TET) is obtained by making all semitones the same size, with each equal to one-twelfth of an octave; i.e. with ratios 12 √ 2 : 1. Relative to Pythagorean tuning , it narrows the perfect fifths by about 2 cents or ⁠ 1 / 12 ⁠ th of a Pythagorean comma to give a frequency ratio of 2 7 / 12 : 1 {\displaystyle ...

  9. Wikipedia : WikiProject Tunings, Temperaments, and Scales

    en.wikipedia.org/wiki/Wikipedia:WikiProject...

    This project will cover historical systems like Pythagorean tuning and meantone temperament, non-Western systems like pelog and slendro, and modern innovations like Harry Partch's 43-tone scale. The focus will be on microtonal and xenharmonic music; tunings such as New Standard Tuning for guitars that fall completely within 12-tone equal ...