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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. 53 equal temperament - Wikipedia

    en.wikipedia.org/wiki/53_equal_temperament

    If all these commas are exactly of the same size, there results an octave of 5 tones + 2 diatonic semitones, 5 × 9 + 2 × 4 = 53 equal commas. Holder [ 18 ] attributes the division of the octave in 53 equal parts to Nicholas Mercator , [ c ] who himself had proposed that ⁠ 1 / 53 ⁠ part of the octave be named the "artificial comma".

  4. 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 ...

  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. Pythagorean tuning - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_tuning

    Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are determined by choosing a sequence of fifths [2] which are "pure" or perfect, with ratio :. This is chosen because it is the next harmonic of a vibrating string, after the octave (which is the ratio 2 : 1 {\displaystyle 2:1} ), and hence is the ...

  7. Musical tuning - Wikipedia

    en.wikipedia.org/wiki/Musical_tuning

    Man turning tuning pegs to tune guitar Tuning of Sébastien Érard harp using Korg OT-120 Wide 8 Octave Orchestral Digital Tuner. Tuning is the process of adjusting the pitch of one or many tones from musical instruments to establish typical intervals between these tones. Tuning is usually based on a fixed reference, such as A = 440 Hz.

  8. 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 ...

  9. 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).