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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. 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).

  4. Stringed instrument tunings - Wikipedia

    en.wikipedia.org/wiki/Stringed_instrument_tunings

    Standard tuning is 1 octave below the mandola. Mandola: 8 strings 4 courses. C 3 C 3 •G 3 G 3 •D 4 D 4 •A 4 A 4: Tenor mandola (Europe) A 5th below mandolin tuning. Mandolin: 8 strings 4 courses. G 3 G 3 •D 4 D 4 •A 4 A 4 •E 5 E 5. Alternates: "Get Up John Tuning": F ♯ 3 A 3 •D 4 D 4 •A 4 A 4 •A 5 D 5. All violin alternate ...

  5. Musical temperament - Wikipedia

    en.wikipedia.org/wiki/Musical_temperament

    [citation needed] Furthermore, every interval created by two sustained tones creates a third tone, called a differential (or resultant) tone. This third tone is equal to the lower pitch subtracted from the higher pitch. This third tone then creates intervals with the original two tones, and the difference between these is called a second ...

  6. Standard tuning - Wikipedia

    en.wikipedia.org/wiki/Standard_tuning

    The most popular bowed strings used nowadays belong to the violin family; together with their respective standard tunings, they are: Violin – G 3 D 4 A 4 E 5 (ascending perfect fifths, starting from G below middle C) Viola – C 3 G 3 D 4 A 4 (a perfect fifth below a violin's standard tuning) Cello – C 2 G 2 D 3 A 3 (an octave lower than ...

  7. Circle of fifths - Wikipedia

    en.wikipedia.org/wiki/Circle_of_fifths

    Twelve-tone equal temperament tuning divides each octave into twelve equivalent semitones, and the circle of fifths leads to a C seven octaves above the starting point. If the fifths are tuned with an exact frequency ratio of 3:2 (the system of tuning known as just intonation), this is not the case (the circle does not "close").

  8. Perfect fifth - Wikipedia

    en.wikipedia.org/wiki/Perfect_fifth

    The just perfect fifth can be heard when a violin is tuned: if adjacent strings are adjusted to the exact ratio of 3:2, the result is a smooth and consonant sound, and the violin sounds in tune. Keyboard instruments such as the piano normally use an equal-tempered version of the perfect fifth, enabling the instrument to play in all keys.

  9. Meantone temperament - Wikipedia

    en.wikipedia.org/wiki/Meantone_temperament

    Isomorphic keyboards expose the invariant properties of the meantone tunings of the syntonic temperament isomorphically (that is, for example, by exposing a given interval with a single consistent inter-button shape in every octave, key, and tuning) because both the isomorphic keyboard and temperament are two-dimensional (i.e., rank 2) entities ...