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  2. Standard tuning - Wikipedia

    en.wikipedia.org/wiki/Standard_tuning

    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 the viola) Double bass – E 1 A 1 D 2 G 2 (ascending perfect fourths, where the highest sounding open string coincides with the G on a cello). Double bass with a low C extension – C 1 E 1 A 1 D 2 G 2 (the same, except ...

  3. Pythagorean tuning - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_tuning

    [2] 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.

  4. 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.

  5. All fifths tuning - Wikipedia

    en.wikipedia.org/wiki/All_fifths_tuning

    C-G-d-a-e'-b' or G'-D-A-e-b-f ♯ ', which have intervals of 3 octaves minus a half-step between the lowest and highest string. The conventional tuning has an interval of 2 octaves between lowest and highest string. All-fifths tuning is a tuning in intervals of perfect fifths like that of a mandolin or a violin. It has a wide range.

  6. Stringed instrument tunings - Wikipedia

    en.wikipedia.org/wiki/Stringed_instrument_tunings

    E 2 E 1 •A 2 A 1 •D 3 D 2G 3 G 2: Eight-string bass guitar, 8-string bass US Essentially a 4-string bass with each string doubled at the upper octave. Guitar, bass (12-string) 12 strings 4 courses. E 2 E 2 E 1 •A 2 A 2 A 1 •D 3 D 3 D 2G 3 G 3 G 2: Twelve-string bass guitar, 12-string bass US Similar to an 8-string bass with ...

  7. Wikipedia : Manual of Style/Stringed instrument tunings

    en.wikipedia.org/wiki/Wikipedia:Manual_of_Style/...

    If the octave is also to be indicated, use either Helmholtz pitch notation, as in E–A–d–g–b–e′ for the guitar, or scientific pitch notation, as in E 2 –A 2 –D 3G 3 –B 3 –E 4. Although the expert will instantly recognise either of these for what it is, for the benefit of the general reader a link should be provided to the ...

  8. Musical system of ancient Greece - Wikipedia

    en.wikipedia.org/wiki/Musical_system_of_ancient...

    Thus, the octave is made up of a fourth and a fifth. ... Philolaus's scale thus consisted of the following intervals: 9:8, 9:8, 256:243 [these three intervals take us up a fourth], 9:8, 9:8, 9:8, 256:243 [these four intervals make up a fifth and complete the octave from our starting note]. This scale is known as the Pythagorean diatonic and is ...

  9. Comma (music) - Wikipedia

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

    Syntonic comma on C Pythagorean comma on C . In music theory, a comma is a very small interval, the difference resulting from tuning one note two different ways. [1] Traditionally, there are two most common comma; the syntonic comma, "the difference between a just major 3rd and four just perfect 5ths less two octaves", and the Pythagorean comma, "the difference between twelve 5ths and seven ...