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Repetitive tuning

From Wikipedia, the free encyclopedia
Major-thirds tuning repeats itself (at a higher octave) after three strings. Thus, chords can be shifted vertically on the same frets.
The C major chord and its first and second inversions. In the first inversion, the C note has been raised 3 strings on the same fret. In the second inversion, both the C note and the E note have been raised 3 strings on the same fret.
Chords are inverted by shifting notes by three stringson the same fret in major-thirds tuning.[1]

Repetitive tunings are a type ofalternative tunings for theguitar. A repetitive tuning begins with a list of notes that isduplicated, either at unison or at higheroctaves.

Amongregular tunings, there are four repetitive-tunings (besides trivially repetitive tunings such as C-C-C-C-C-C); this article discusses threeminor-thirds tuning,major-thirds tuning, andaugmented-fourths tuning (but notmajor seconds tuning, which is not repetitive on six strings). Amongopen tunings, there are repetitive versions ofopen C tuning andopen G tuning, which have been associated with theEnglish andRussian guitars, respectively.

Repetition eases the learning offretboard andchords and easesimprovisation. For example, in major-thirds tuning, chords are raised an octave by shifting fingers by three strings on the same frets.[2]

Repetitive tunings are listed after their number ofopenpitches. For example, the repetitive open-C tuning C-E-G-C-E-G has three open-pitches, each of which is associated with repeated notes{(C,C), (E,E), (G,G)}.

One

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Everyaugmented-fourths (tritone) tunings repeats its two notes three times.

Thetrivial tuning repeats the same note every string. It is also called aunisonregular tuning.

C-C-C-C-C-C.[3]

Other trivial-tunings repeat their single notes on a higher octave (or on higher octaves), for example,

C-C-c-c-c'-c'.

Two

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The following tunings repeat their notes on a higher octave after two strings:

Any note fingered on one string can be fingered on two other strings. Thus chords can be fingered in many ways in augmented-fourths tuning. It is also a regular tuning in which the interval between its strings is atritone (augmented fourth).[4]

There are other tunings for the cittern.[6]

  • Alternating fourths and fifths tuning, such as A1-D2-A2-D3-A3-D4. (ADADAD)

This kind of tuning can also be called modal D or open D5 as it contains a D chord without a third. It is also used on other instruments, e.g. fiddle, mandolin and the Irish bouzouki.

Three

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Everymajor-thirds tuning repeats its three notes twice.
For the Russian guitar, the open strings form a G-major chord, which is twice repeated

The following tunings repeat their notes after three strings:

D-G-B-D-G-B-D,[7]

Chord inversion is especially simple in major-thirds tuning. Chords are inverted simply by raising one or two notes three strings. The raised notes are played with the same finger as the original notes. The major-thirds tuning is also a regular tuning having amajor third interval between strings.[1][2]

Four

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Minor-thirds tunings repeat its four notes after four strings (twice on aneight-string guitar).

In eachminor-thirds tuning, every interval between successive strings is aminor third. It repeats its open-notes after four strings.Doubled notes have different sounds because of differing "string widths, tensions andtunings, and [they] reinforce each other,like the doubled strings of a twelve string guitaradd chorusing and depth," according toWilliam Sethares.[14]

In the minor-thirds tuning beginning with C,

C-D-F-a-c-d

the open strings contain the notes (c, d, f) of thediminished C chord. The minor-thirds tuning is also a regular tuning, which has aminor third interval between consecutive strings.[14]

See also

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Notes

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  1. ^abKirkeby (2012,"Fretmaps, major chords: Major Triads"):Kirkeby, Ole (1 March 2012)."Major thirds tuning". m3guitar.com. cited bySethares (2011) andGriewank (2010, p. 1). Retrieved10 June 2012.
  2. ^abGriewank (2010, p. 10)
  3. ^Sethares (2001,"Regular tunings", p. 53; and "The augmented fourths tuning" 60):

    Sethares, Bill (2001). "Regular tunings".Alternate tuning guide(PDF). Madison, Wisconsin: University of Wisconsin; Department of Electrical Engineering. pp. 52–67. Retrieved9 September 2012.

  4. ^Sethares (2001,"The augmented fourth tuning", p. 60)
  5. ^Sethares (2001i,"Instrumental tunings: Cittern tuning two, p. 42)
  6. ^Sethares (2001i, pp. 34 and 41–42)

    Sethares, Bill (2001i). "Instrumental tunings".Alternate tuning guide(PDF). Madison, Wisconsin: University of Wisconsin; Department of Electrical Engineering. pp. 34–51. Retrieved12 September 2012.

  7. ^Sethares (2001,"The major third tuning", pp. 56–57)
  8. ^Ophee, Matanya (ed.).19th Century etudes for the Russian 7-string guitar in G Op. The Russian Collection. Vol. 9. Editions Orphee. PR.494028230.
  9. ^Ophee, Matanya (ed.).Selected Concert Works for the Russian 7-String Guitar in G open tuning. The Russian Collection. Vol. 10 ("X"). Editions Orphee. PR.494028240.
  10. ^Smith, Gerald Stanton (1984).Songs to seven strings: Russian guitar poetry and Soviet "mass song". Soviet history, politics, society, and thought. Indiana University Press. pp. 1–271.ISBN 978-0-253-35391-7.
  11. ^Timofeyev, Oleg V. (1999).The golden age of the Russian guitar: Repertoire, performance practice, and social function of the Russian seven-string guitar music, 1800-1850. Duke University, Department of Music. pp. 1–584. University Microfilms (UMI), Ann Arbor, Michigan, number 9928880.
  12. ^Sethares (2001o,The open C tuning, p. 18):

    Sethares, Bill (2001o). "Open tunings".Alternate tuning guide(PDF). Madison, Wisconsin: University of Wisconsin; Department of Electrical Engineering. pp. 16–33. Retrieved9 September 2012.

  13. ^Hannu Annala; Heiki Mätlik (2007). "Composers for other plucked instruments: Rudolf Straube (1717-1785)".Handbook of Guitar and Lute Composers. Translated by Katarina Backman. Mel Bay. p. 30.ISBN 978-0-7866-5844-2.
  14. ^abSethares (2001,"The minor third tuning", p. 54)

References

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General
TuningRepetitiveOvertonesOther
(often most popular)
Miscellaneous
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