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  2. Perfect fifth - Wikipedia

    en.wikipedia.org/wiki/Perfect_fifth

    The perfect fifth is a basic element in the construction of major and minor triads, and their extensions. Because these chords occur frequently in much music, the perfect fifth occurs just as often. However, since many instruments contain a perfect fifth as an overtone, it is not unusual to omit the fifth of a chord (especially in root position).

  3. Regular tuning - Wikipedia

    en.wikipedia.org/wiki/Regular_tuning

    All-fifths tuning was used by the jazz-guitarist Carl Kress. The left-handed involute of an all-fifths tuning is an all-fourths tuning. All-fifths tuning is based on the perfect fifth (seven semitones), and all-fourths tuning is based on the perfect fourth (five semitones). Consequently, chord charts for all-fifths tunings are used for left ...

  4. List of fifth intervals - Wikipedia

    en.wikipedia.org/wiki/List_of_fifth_intervals

    All-fifths tuning. All-fifths tuning refers to the set of tunings for string instruments in which each interval between consecutive open strings is a perfect fifth. All-fifths tuning is the standard tuning for mandolin and violin and it is an alternative tuning for guitars. All-fifths tuning is also called fifths, perfect fifths, or mandoguitar ...

  5. Lattice (music) - Wikipedia

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

    On the neo-Riemannian Tonnetz, pitches are connected by lines if they are separated by minor third (/), major third (\), or perfect fifth (–). A lattice in the Euclidean plane. In musical tuning, a lattice "is a way of modeling the tuning relationships of a just intonation system. It is an array of points in a periodic multidimensional pattern.

  6. Pythagorean tuning - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_tuning

    In the formulas, the ratios 3:2 or 2:3 represent an ascending or descending perfect fifth (i.e. an increase or decrease in frequency by a perfect fifth, while 2:1 or 1:2 represent a rising or lowering octave). The formulas can also be expressed in terms of powers of the third and the second harmonics.

  7. List of intervals in 5-limit just intonation - Wikipedia

    en.wikipedia.org/wiki/List_of_intervals_in_5...

    The intervals of 5-limit just intonation (prime limit, not odd limit) are ratios involving only the powers of 2, 3, and 5.The fundamental intervals are the superparticular ratios 2/1 (the octave), 3/2 (the perfect fifth) and 5/4 (the major third).

  8. Pythagorean interval - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_interval

    Pythagorean perfect fifth on C Play ⓘ: C-G (3/2 ÷ 1/1 = 3/2).. In musical tuning theory, a Pythagorean interval is a musical interval with a frequency ratio equal to a power of two divided by a power of three, or vice versa. [1]

  9. Piano tuning - Wikipedia

    en.wikipedia.org/wiki/Piano_tuning

    A benefit of stretching octaves is the correction of dissonance that equal temperament imparts to the perfect fifth. Without octave stretching, the slow, nearly imperceptible beating of fifths in the temperament region (ranging from little more than one beat every two seconds to about one per second) would double each ascending octave.

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