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  2. Musical temperament - Wikipedia

    en.wikipedia.org/wiki/Musical_temperament

    In the words of William Hubbard's Musical Dictionary (1908), an anomalous chord is a "chord containing an interval" that "has been made very sharp or flat in tempering the scale for instruments of fixed pitches". [2] The development of well temperament allowed fixed-pitch instruments to play reasonably well in all of the keys.

  3. Just intonation - Wikipedia

    en.wikipedia.org/wiki/Just_intonation

    Equal temperament and just intonation compared ⓘ A pair of major thirds, followed by a pair of full major chords. The first in each pair is in equal temperament; the second is in just intonation. Piano sound. Equal temperament and just intonation compared with square waveform ⓘ A pair of major chords. The first is in equal temperament; the ...

  4. Pythagorean tuning - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_tuning

    The Pythagorean scale is any scale which can be constructed from only pure perfect fifths (3:2) and octaves (2:1). [5] In Greek music it was used to tune tetrachords, which were composed into scales spanning an octave. [6] A distinction can be made between extended Pythagorean tuning and a 12-tone Pythagorean temperament.

  5. List of musical scales and modes - Wikipedia

    en.wikipedia.org/wiki/List_of_musical_scales_and...

    List of musical scales and modes Name Image Sound Degrees Intervals Integer notation # of pitch classes Lower tetrachord Upper tetrachord Use of key signature usual or unusual 15 equal temperament: 15-tet scale on C. Play ⓘ — — — 15 — — — 16 equal temperament: 16-tet scale on C. Play ⓘ — — — 16 — — — 17 equal ...

  6. Lattice (music) - Wikipedia

    en.wikipedia.org/wiki/Lattice_(music)

    The scale degree always followed a period or dot to separate it from the ratios. Examples: One dimensional Pythagorean tuning (3/2) Musical temperaments including equal temperament (12-tone equal temperament = 2 1/12 (or 2 7/12), 24-tet = 2 1/24, quarter-comma meantone = ) Two dimensional

  7. 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.

  8. Quarter tone - Wikipedia

    en.wikipedia.org/wiki/Quarter_tone

    Quarter tones have their roots in the music of the Middle East and more specifically in Persian traditional music. [1] However, the first evidenced proposal of the equally-tempered quarter tone scale, or 24 equal temperament, was made by 19th-century music theorists Heinrich Richter in 1823 [2] and Mikhail Mishaqa about 1840. [3]

  9. Music and mathematics - Wikipedia

    en.wikipedia.org/wiki/Music_and_mathematics

    A musical scale is a discrete set of pitches used in making or describing music. The most important scale in the Western tradition is the diatonic scale but many others have been used and proposed in various historical eras and parts of the world. Each pitch corresponds to a particular frequency, expressed in hertz (Hz), sometimes referred to ...