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  2. 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.

  3. 22 equal temperament - Wikipedia

    en.wikipedia.org/wiki/22_equal_temperament

    The idea of dividing the octave into 22 steps of equal size seems to have originated with nineteenth-century music theorist RHM Bosanquet.Inspired by the use of a 22-tone unequal division of the octave in the music theory of India, Bosanquet noted that a 22-tone equal division was capable of representing 5-limit music with tolerable accuracy. [1]

  4. 41 equal temperament - Wikipedia

    en.wikipedia.org/wiki/41_equal_temperament

    The frets on such guitars are very tightly spaced. To make a more playable 41-ET guitar, an approach called "The Kite Tuning" omits every-other fret (in other words, 41 frets per two octaves or 20.5 frets per octave) while tuning adjacent strings to an odd number of steps of 41.

  5. Diatonic and chromatic - Wikipedia

    en.wikipedia.org/wiki/Diatonic_and_chromatic

    Melodies can be based on a diatonic scale and maintain its tonal characteristics but contain many accidentals, up to all twelve tones of the chromatic scale, such as the opening of Henry Purcell's "Thy Hand, Belinda" from Dido and Aeneas (1689) with figured bass), which features eleven of twelve pitches while chromatically descending by half steps, [1] the missing pitch being sung later.

  6. 17 equal temperament - Wikipedia

    en.wikipedia.org/wiki/17_equal_temperament

    17-ET is the tuning of the regular diatonic tuning in which the tempered perfect fifth is equal to 705.88 cents, as shown in Figure 1 (look for the label "17-TET"). History and use [ edit ]

  7. 31 equal temperament - Wikipedia

    en.wikipedia.org/wiki/31_equal_temperament

    31 EDO on the regular diatonic tuning continuum at p5 = 696.77 cents [1]. 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, is the tempered scale derived by dividing the octave into 31 equally-proportioned steps (equal frequency ratios).

  8. Mode (music) - Wikipedia

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

    Related to the diatonic modes are the eight church modes or Gregorian modes, in which authentic and plagal forms of scales are distinguished by ambitus and tenor or reciting tone. Although both diatonic and Gregorian modes borrow terminology from ancient Greece , the Greek tonoi do not otherwise resemble their medieval/modern counterparts.

  9. Generic and specific intervals - Wikipedia

    en.wikipedia.org/wiki/Generic_and_specific_intervals

    Myhill's property is the quality of musical scales or collections with exactly two specific intervals for every generic interval, and thus also have the properties of cardinality equals variety, structure implies multiplicity, and being a well formed generated collection.