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In
music Music is generally defined as the art of arranging sound to create some combination of form, harmony, melody, rhythm or otherwise expressive content. Exact definitions of music vary considerably around the world, though it is an aspect ...
or
music theory Music theory is the study of the practices and possibilities of music. ''The Oxford Companion to Music'' describes three interrelated uses of the term "music theory". The first is the "rudiments", that are needed to understand music notation (ke ...
, a thirteenth is the note thirteen
scale degree In music theory, the scale degree is the position of a particular note on a scale relative to the tonic, the first and main note of the scale from which each octave is assumed to begin. Degrees are useful for indicating the size of intervals and ...
s from the
root In vascular plants, the roots are the organs of a plant that are modified to provide anchorage for the plant and take in water and nutrients into the plant body, which allows plants to grow taller and faster. They are most often below the sur ...
of a
chord Chord may refer to: * Chord (music), an aggregate of musical pitches sounded simultaneously ** Guitar chord a chord played on a guitar, which has a particular tuning * Chord (geometry), a line segment joining two points on a curve * Chord ( ...
and also the interval between the root and the thirteenth. The interval can be also described as a compound sixth, spanning an
octave In music, an octave ( la, octavus: eighth) or perfect octave (sometimes called the diapason) is the interval between one musical pitch and another with double its frequency. The octave relationship is a natural phenomenon that has been refer ...
plus a sixth. The thirteenth is most commonly major or minor . A thirteenth chord is the stacking of six (
major Major (commandant in certain jurisdictions) is a military rank of commissioned officer status, with corresponding ranks existing in many military forces throughout the world. When used unhyphenated and in conjunction with no other indicators ...
or
minor Minor may refer to: * Minor (law), a person under the age of certain legal activities. ** A person who has not reached the age of majority * Academic minor, a secondary field of study in undergraduate education Music theory *Minor chord ** Barb ...
) thirds, the last being above the 11th of an
eleventh chord In music theory, an eleventh chord is a chord that contains the tertian extension of the eleventh. Typically found in jazz, an eleventh chord also usually includes the seventh and ninth, and elements of the basic triad structure. Variants inc ...
. Thus a thirteenth chord is a
tertian In music theory, ''tertian'' ( la, tertianus, "of or concerning thirds") describes any piece, chord, counterpoint etc. constructed from the intervals of (major and minor) thirds. An interval such as that between the notes A and C encompasses 3 ...
(built from thirds) chord containing the interval of a thirteenth, and is an
extended chord In music, extended chords are certain chords (built from thirds) or triads with notes ''extended'', or added, beyond the seventh. Ninth, eleventh, and thirteenth chords are extended chords. The thirteenth is the farthest extension diatonical ...
if it includes the
ninth In music, a ninth is a compound interval consisting of an octave plus a second. Like the second, the interval of a ninth is classified as a dissonance in common practice tonality. Since a ninth is an octave larger than a second, its ...
and/or the
eleventh In music or music theory, an eleventh is the note eleven scale degrees from the root of a chord and also the interval between the root and the eleventh. The interval can be also described as a compound fourth, spanning an octave plus a f ...
. "The jazzy thirteenth is a very versatile chord and is used in many genres." Since 13th chords tend to become unclear or confused with other chords when inverted, they are generally found in root position.Benward & Saker (2009). ''Music in Theory and Practice: Volume II'', p.179. Eighth Edition. . For example, depending on voicing, a major triad with an added major sixth is usually called a
sixth chord The term ''sixth chord'' refers to two different kinds of chord, the first in classical music and the second in modern popular music. The original meaning of the term is a ''chord in first inversion'', in other words with its third in the bass a ...
, because the sixth serves as a substitution for the major seventh, thus considered a chord tone in such context. However, Walter Piston, writing in 1952, considered that, "a true thirteenth chord, arrived at by superposition of thirds, is a rare phenomenon even in 20th-century music." This may be due to four-part writing, instrument limitations, and voice leading and stylistic considerations. For example, "to make the chord more playable n guitar">guitar.html" ;"title="n guitar">n guitar thirteenth chords often omit the fifth and the ninth."


Dominant thirteenth

Most commonly, 13th chords serve a dominant diatonic function">function (V13),Benward & Saker (2009), p.180. whether they have the exact intervals of a dominant thirteenth or not. Typically, a dominant chord anticipating a major resolution will feature a natural 13, while a dominant chord anticipating a minor resolution will feature a flat 13. Since thirteenth chords contain more than four notes, in
four-voice writing the root, third, seventh, and thirteenth are most often included, excluding the fifth, ninth, and eleventh . The third indicates the quality of the chord as major or minor, the seventh is important for the quality as a dominant chord, while the thirteenth is necessary in a thirteenth chord. In modern pop/jazz harmony, after the dominant thirteenth, a thirteenth chord (usually notated as X13, e.g. C13) contains an implied flatted seventh interval. Thus, a C13 consists of C, E, G, B, and A. The underlying harmony during a thirteenth chord is usually
Mixolydian Mixolydian mode may refer to one of three things: the name applied to one of the ancient Greek ''harmoniai'' or ''tonoi'', based on a particular octave species or scale; one of the medieval church modes; or a modern musical mode or diatonic scal ...
or Lydian dominant scale">Lydian dominant In music, the acoustic scale, overtone scale, Lydian dominant scale, Lydian 7 scale, or the Pontikonisian Scale is a Heptatonic scale, seven-note synthetic scale, synthetic Scale (music), scale. : This differs from the major scale in having an ...
(see chord-scale system). A thirteenth chord does not imply the quality of the ninth or eleventh scale degrees. In general, what gives a thirteenth chord its characteristic sound is the dissonance between the flat seventh and the thirteenth, an interval of a major seventh. In the common practice period the "most common" pitches present in V13 chord are the root, 3rd, 7th, and 13th; with the 5th, 9th, and 11th "typically omitted".Benward & Saker (2009), p.183-84. The 13th is most often in the soprano, or highest voice, and usually resolves down by a 3rd to the tonic I or i. If the V13 is followed by a I9 the 13th may resolve to the 9th.


Other thirteenth chords

These voice leading guidelines may not be followed after the common practice period in techniques such as
parallel harmony In music, parallel harmony, also known as harmonic parallelism, harmonic planing or parallel voice leading, is the parallel movement of two or more melodies (see voice leading). Illustrative example Lines with parallel harmony can be viewed as ...
and in the following example: 13th chords may less often be built on degrees other than the dominant, such as the tonic or subdominant. While the dominant thirteenth is the most common thirteenth chord, the major thirteenth is also fairly common.Hal Leonard Corp. (2003). ''Picture Chord Encyclopedia: Photos, Diagrams and Music Notation for Over 1,600 Keyboard Chords'', p.10. . A major thirteenth chord (containing a major seventh) will nearly always feature a chromatically raised eleventh (C E G B D F A) (see
Lydian mode The modern Lydian mode is a seven-tone musical scale formed from a rising pattern of pitches comprising three whole tones, a semitone, two more whole tones, and a final semitone. : Because of the importance of the major scale in modern music ...
), except for cases when the eleventh is omitted altogether. "It is customary to omit the eleventh on dominant or major thirteenth chords because the eleventh conflicts with the third," in these chords by a semitone.


Inversions

Generally found in root position, the
inversion Inversion or inversions may refer to: Arts * , a French gay magazine (1924/1925) * ''Inversion'' (artwork), a 2005 temporary sculpture in Houston, Texas * Inversion (music), a term with various meanings in music theory and musical set theory * ...
of a complete thirteenth chord including ''all'' seven notes, itself, "a rare phenomenon", is a theoretical impossibility since a new thirteenth chord with a different root is produced, for example Cmaj13 (C-E-G-B-D-F-A) becomes Em139 (E-G-B-D-F-A-C) then G13 (G-B-D-F-A-C-E), and so on, when inverted.


Gallery

Given the number of notes that may be included, there are a great variety of thirteenth chords. The following chords are notated below lead sheet symbols: Image:Thirteenth chord Cm13.png, Thirteenth chord based on minor triadKostka & Payne (1995). ''Tonal Harmony'', p.493. Third Edition. . Image:Thirteenth chord C13+11b9.png, Thirteenth chord with flat ninth Image:Thirteenth chord CMA7(add13).png, Benward & Saker (2009), p.185. File:Thirteenth chord CMA13.png, File:Thirteenth chord C13.png, File:Thirteenth chord CMI7(add13).png, File:Thirteenth chord C13sus.png, File:Thirteenth chord CMA13(sharp11).png, File:Thirteenth chord C13(b5).png, File:Thirteenth chord C13(b9).png, File:Thirteenth chord C13(sharp11).png, Image:Thirteenth chord C13b9.png, Bass note: C or alternatively G. Image:Thirteenth chord C13 guitar.png, "Thirteenth chord inversion with no fifth or ninth and the flatted seventh in the bass." Image:Thirteenth chord C13 guitar b.png, Different voicing for guitar. Image:Dominant thirteenth chord on C 4 voice 2.png, Dominant thirteenth: four-voice version. "This disposition is typical."Cooper (1975), p.227-28. Image:Thirteenth chord collapsed.png, A thirteenth chord "collapsed" into one octave results in a
dissonant In music, consonance and dissonance are categorizations of simultaneous or successive Sound, sounds. Within the Western tradition, some listeners associate consonance with sweetness, pleasantness, and acceptability, and dissonance with harshness ...
, seemingly
secundal In music or music theory, secundal is the quality of a chord made from seconds, and anything related to things constructed from seconds such as counterpoint. Secundal chords are often called tone clusters more generally, especially when non-diat ...
tone cluster. Image:Dominant thirteenth chord on C m13.png, A dominant thirteenth in F minor.


See also

* Jazz chord *
Harmonic planing In music, parallel harmony, also known as harmonic parallelism, harmonic planing or parallel voice leading, is the parallel movement of two or more melodies (see voice leading). Illustrative example Lines with parallel harmony can be viewed as ...
*
Ladder of thirds A modal frame in music is "a number of types permeating and unifying African, European, and American song" and melody., quoted in Richard Middleton (1990/2002). ''Studying Popular Music'', p. 203. Philadelphia: Open University Press. . It may al ...
* Mystic chord


References

{{Intervals Chord factors Extended chords Sixths (music) Compound intervals