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In music, a guitar chord is a set of notes played on a guitar. A chord's notes are often played simultaneously, but they can be played sequentially in an arpeggio. The implementation of guitar chords depends on the guitar tuning. Most guitars used in popular music have six strings with the "standard" tuning of the Spanish classical guitar, namely E–A–D–G–B–E' ; in standard tuning, the intervals present among adjacent strings are perfect fourths except for the major third (G,B). Standard tuning requires four chord-shapes for the major triads.

Musical fundamentals
The theory of guitar-chords respects harmonic conventions of Western music. Discussions of basic guitar-chords rely on fundamental concepts in music theory: the twelve notes of the octave, musical intervals, chords, and chord progressions. Intervals {{listen The octave consists of twelve notes. Its natural notes constitute the C major scale, (C, D, E, F, G, A, B, and C). The intervals between the notes of a chromatic scale are listed in a table, in which only the emboldened intervals are discussed in this article's section on fundamental chords; those intervals and other seventh-intervals are discussed in the section on intermediate chords. The unison and octave intervals have perfect consonance. Octave intervals were popularized by the jazz playing of Wes Montgomery. The perfect-fifth interval is highly consonant, which means that the successive playing of the two notes from the perfect fifth sounds harmonious. A semitone is the distance between two adjacent notes on the chromatic circle, which displays the twelve notes of an octave. As indicated by their having been emboldened in the table, a handful of intervals—thirds (minor and major), perfect fifths, and minor sevenths—are used in the following discussion of fundamental guitar-chords. As already stated, the perfect-fifths (P5) interval is the most harmonious, after the unison and octave intervals. An explanation of human perception of harmony relates the mechanics of a vibrating string to the musical acoustics of sound waves using the harmonic analysis of Fourier series. When a string is struck with a finger or pick (plectrum), it vibrates according to its harmonic series. When an open-note C-string is struck, its harmonic series begins with the terms (C,C,G,C,E,G,B,C). The root note is associated with a sequence of intervals, beginning with the unison interval (C,C), the octave interval (C,C), the perfect fifth (C,G), the perfect fourth (G,C), and the major third (C,E). In particular, this sequence of intervals contains the thirds of the C-major chord {(C,E),(E,G)}. Perfect fifths The perfect-fifth interval is featured in guitar playing and in sequences of chords. The sequence of fifth intervals built on the C-major scale is used in the construction of triads, which is discussed below.{{efn|1=This sequence of fifths features the diminished fifth (b,f), which replaces the perfect fifth (b,f) containing the chromatic note f, which is not a member of the C-major key. The note f (of the C-major scale) is replaced by the note f in the Lydian chromatic scale. {c d e fis g a b c' }}} { } Cycle of fifths Concatenating the perfect fifths ((F,C), (C,G), (G,D), (D,A), (A,E), (E,B),...) yields the sequence of fifths (F,C,G,D,A,E,B,...); this sequence of fifths displays all the notes of the octave. This sequence of fifths shall be used in the discussions of chord progressions, below. Power chord The perfect-fifth interval is called a power chord by guitarists, who play them especially in blues and rock music. The Who's guitarist, Peter Townshend, performed power chords with a theatrical windmill-strum. The major triad has a root, a major third, and a fifth. (The major chord's major-third interval is replaced by a minor-third interval in the minor chord, which shall be discussed in the next subsection.) For example, a C-major triad consists of the (root, third, fifth)-notes (C, E, G). The three notes of a major triad have been introduced as an ordered triplet, namely (root, third, fifth), where the major third is four semitones above the root and where the perfect fifth is seven semitones above the root. This type of triad is in closed position. Triads are quite commonly played in open position: For example, the C-major triad is often played with the third (E) and fifth (G) an octave higher, respectively sixteen and nineteen semitones above the root. Another variation of the major triad changes the order of the notes: For example, the C-major triad is often played as (C,G,E), where (C,G) is a perfect fifth and E is raised an octave above the perfect third (C,E). (C,E,G), for example. This reduces the Diophantine-approximation error of the major third in equal-temperaments, compared to just intonation. --> Alternative orderings of the notes in a triad are discussed below (in the discussions of chord inversions and drop-2 chords). In popular music, a subset of triads is emphasized—those with notes from the three major-keys (C, G, D), which also contain the notes of their relative minor keys (Am, Em, Bm). Progressions traditionally enumerated with the Roman numerals I, ii, iii, IV, V, vi, vii. Its major-key sub-progression C–F–G (I–IV–V) is conventional in popular music. In this progression, the minor triads ii–iii–vi appear in the relative minor key (Am)'s corresponding chord progression. The major chords are highlighted by the three-chord theory of chord progressions, which describes the three-chord song that is archetypal in popular music. When played sequentially (in any order), the chords from a three-chord progression sound harmonious ("good together"). The most basic three-chord progressions of Western harmony have only major chords. In each key, three chords are designated with the Roman numerals (of musical notation): The tonic (I), the subdominant (IV), and the dominant (V). While the chords of each three-chord progression are numbered (I, IV, and V), they appear in other orders. In the 1950s the I–IV–V chord progression was used in "Hound Dog" (Elvis Presley) and in "Chantilly Lace" (The Big Bopper). Major-chord progressions are constructed in the harmonization of major scales in triads. For example, stacking the C-major scale with thirds creates a chord progression, which is traditionally enumerated with the Roman numerals I, ii, iii, IV, V, vi, vii; its sub-progression C–F–G (I–IV–V) is used in popular music, as already discussed. Further chords are constructed by stacking additional thirds. Stacking the dominant major-triad with a minor third creates the dominant seventh chord, which shall be discussed after minor chords. Minor A minor chord has the root and the fifth of the corresponding major chord, but its first interval is a minor third rather than a major third: : Minor chords arise in the harmonization of the major scale in thirds, which was already discussed: The minor chords have the degree positions ii, iii, and vi. : Minor chords arise as the tonic notes of minor keys that share the same key signature with major keys. From the major key's I–ii–iii–IV–V–vi–vii progression, the "secondary" (minor) triads ii–iii–vi appear in the relative minor key's corresponding chord progression as i–iv–v (or i–iv–V or i–iv–V7): For example, from C's vi–ii–iii progression A–D–E, the chord E is often played as E or E7 in a minor chord progression. Among basic chords, the minor chords (D,E,A) are the tonic chords of the relative minors of the three major keys (F,G,C): : The technique of changing among relative keys (pairs of relative majors and relative minors) is a form of modulation. Minor chords are constructed by the harmonization of minor scales in triads. Seventh chords: major–minor chords with dominant function Adding a minor seventh to a major triad creates a dominant seventh (denoted V7). In music theory, the "dominant seventh" described here is called a major-minor seventh, emphasizing the chord's construction rather than its usual function. Dominant sevenths are often the dominant chords in three-chord progressions, These progressions with seventh chords arise in the harmonization of major scales in seventh chords. Twelve-bar blues Be they in major key or minor key, such I–IV–V chord progressions are extended over twelve bars in popular music—especially in jazz, blues, and rock music. The twelve-bar blues structure is used by McCartney's "3 Legs", which was noted earlier. ==Playing chords: open strings, inversion, and note doubling==
Playing chords: open strings, inversion, and note doubling
The implementation of musical chords on guitars depends on the tuning. Since standard tuning is most commonly used, expositions of guitar chords emphasize the implementation of musical chords on guitars with standard tuning. The implementation of chords using particular tunings is a defining part of the literature on guitar chords, which is omitted in the abstract musical-theory of chords for all instruments. For example, in the guitar (like other stringed instruments but unlike the piano), open-string notes are not fretted and so require less hand-motion. Thus chords that contain open notes are more easily played and hence more frequently played in popular music, such as folk music. Many of the most popular tunings—standard tuning, open tunings, and new standard tuning—are rich in the open notes used by popular chords. Open tunings allow major triads to be played by barring one fret with only one finger, using the finger like a capo. On guitars without a zeroth fret (after the nut), the intonation of an open note may differ from then note when fretted on other strings; consequently, on some guitars, the sound of an open note may be inferior to that of a fretted note. Unlike the piano, the guitar has the same notes on different strings. Consequently, guitar players often double notes in chord, so increasing the volume of sound. Doubled notes also changes the chordal timbre: Having different "string widths, tensions and tunings, the doubled notes reinforce each other, like the doubled strings of a twelve-string guitar add chorusing and depth". Notes can be doubled at identical pitches or in different octaves. For triadic chords, doubling the third interval, which is either a major third or a minor third, clarifies whether the chord is major or minor. Unlike a piano or the voices of a choir, the guitar (in standard tuning) has difficulty playing the chords as stacks of thirds, which would require the left hand to span too many frets, particularly for dominant seventh chords, as explained below. If in a particular tuning chords cannot be played in closed position, then they often can be played in open position; similarly, if in a particular tuning chords cannot be played in root position, they can often be played in inverted positions. A chord is inverted when the bass note is not the root note. Additional chords can be generated with drop-2 (or drop-3) voicing, which are discussed for standard tuning's implementation of dominant seventh chords (below). When providing harmony in accompanying a melody, guitarists may play chords all-at-once or as arpeggios. Arpeggiation was the traditional method of playing chords for guitarists for example in the time of Mozart. Contemporary guitarists using arpeggios include Johnny Marr of The Smiths. ==Fundamental chords==
Fundamental chords
Standard tuning A six-string guitar has five musical-intervals between its consecutive strings. In standard tuning, the intervals are four perfect fourths and one major third, the comparatively irregular interval for the (G,B) pair. Consequently, standard tuning requires four chord shapes for the major chords. There are separate chord forms for chords having their root note on the third, fourth, fifth, and sixth strings. Of course, a beginner learns guitar by learning notes and chords, and irregularities make learning the guitar difficult—even more difficult than learning the formation of plural nouns in German, according to Gary Marcus. Nonetheless, most beginners use standard tuning. Another feature of standard tuning is that the ordering of notes often differs from root position. Notes are often inverted or otherwise permuted, particularly with seventh chords in standard tuning, as the following examples illustrate. Major Commonly used major chords are convenient to play in standard tuning, in which fundamental chords are available in open position, that is, the first three frets and additional open strings. For the C major chord (C,E,G), the conventional left-hand fingering doubles the C and E notes in the next octave; this fingering uses two open notes, E and G: • E on the first string • C on the second string • G on the third string • E on the fourth string • C on the fifth string • Sixth string is not played. Major Chords (Guide for Guitar Chord Charts) • A: 002220 • B: x24442 • C: 032010 • D: xx0232 • E: 022100 • F: 133211 • F#: 244322 (movable – remember that no sharps or flats are between BC and EF) • Normal G: 320003 • Nashville style G: 3×0033 For the other commonly used chords, the conventional fingerings also double notes and feature open-string notes: File:A_major_chord_for_guitar_(open)_svg_hariadhi.svg|A Major Chord File:D major chord for guitar (open) svg hariadhi.svg|D Major Chord File:E major chord for guitar (open) svg hariadhi.svg|E Major Chord File:G_major_chord_for_guitar_(open)_svg_hariadhi.svg|G Major Chord Besides doubling the fifth note, the conventional E-major chord features a tripled bass note. An illustration shows a naive C7 chord, which would be extremely difficult to play, Drop-two chords are used for sevenths chords besides the major–minor seventh with dominant function, which are discussed in the section on intermediate chords, below. Drop-two chords are used particularly in jazz guitar. Drop-two second-inversions are examples of openly voiced chords, which are typical of standard tuning and other popular guitar tunings. "Alternatively voiced" seventh chords are commonly played with standard tuning. A list of fret number configurations for some common chords follows: • E7:[020100] • G7:[320001] • A7:[X02020] • B7:[X21202] (This B7 requires no barre, unlike the B major.) • D7:[XX0212] Other chord inversions Already in basic guitar playing, inversion is important for sevenths chords in standard tuning. It is also important for playing major chords. In standard tuning, chord inversion depends on the bass note's string, and so there are three different forms for the inversion of each major chord, depending on the position of the irregular major thirds interval between the G and B strings. For example, if the note E (the open sixth string) is played over the A minor chord, then the chord would be [0 0 2 2 1 0]. This has the note E as its lowest tone instead of A. It is often written as Am/E, where the letter following the slash indicates the new bass note. However, in popular music it is usual to play inverted chords on the guitar when they are not part of the harmony, since the bass guitar can play the root pitch. Alternate tunings There are many alternate tunings. These change the way chords are played, making some chords easier to play and others harder. • Open tunings each allow a chord to be played by strumming the strings when "open", or while fretting no strings. Open tunings are common in blues and folk music, and they are used in the playing of slide guitar. • Drop tunings are common in hard rock and heavy metal music. In drop-D tuning, the standard tuning's E-string is tuned down to a D note. With drop-D tuning, the bottom three strings are tuned to a root–fifth–octave (D–A–D) tuning, which simplifies the playing of power chords. • Regular tunings allow chord note-forms to be shifted all around the fretboard, on all six strings (unlike standard or other non-regular tunings). Knowing a few note-patterns—for example of the C major, C minor, and C7 chords—enables a guitarist to play all such chords. Open tunings An open tuning allows a chord to be played by strumming the strings when "open", or while fretting no strings. The base chord consists of at least three notes and may include all the strings or a subset. The tuning is named for the base chord when played open, typically a major triad, and each major triad can be played by barring exactly one fret. Open tunings are common in blues and folk music, "Sonny Landreth, Keith Richards and other open-G masters often lower the second string slightly so the major third is in tune with the overtone series. This adjustment dials out the dissonance, and makes those big one-finger major-chords come alive." Repetitive open-tunings are used for two non-Spanish classical-guitars. For the English guitar the open chord is C major (C–E–G–C–E–G); for the Russian guitar which has seven strings, G major (G–B–D–G–B–D–G). Mixing a perfect fourth and a minor third along with a major third, these tunings are on-average major-thirds regular-tunings. While on-average major-thirds tunings are conventional open tunings, properly major-thirds tunings are unconventional open-tunings, because they have augmented triads as their open chords. Regular tunings Guitar chords are dramatically simplified by the class of alternative tunings called regular tunings. In each regular tuning, the musical intervals are the same for each pair of consecutive strings. Regular tunings include major-thirds (M3), all-fourths, augmented-fourths, and all-fifths tunings. For each regular tuning, chord patterns may be diagonally shifted down the fretboard, a property that simplifies beginners' learning of chords and that simplifies advanced players' improvisation. The diagonal shifting of a C major chord in M3 tuning appears in a diagram. Further simplifications occur for the regular tunings that are repetitive, that is, which repeat their strings. For example, the E–G–c–e–g–c' M3 tuning repeats its octave after every two strings. Such repetition further simplifies the learning of chords and improvisation; This repetition results in two copies of the three open-strings' notes, each in a different octave. Similarly, the B–F–B–F–B–F augmented-fourths tuning repeats itself after one string. , which is based on all-fifths tuning. ==Intermediate chords==
Intermediate chords
After major and minor triads are learned, intermediate guitarists play seventh chords. Tertian harmonization ;Stacking of third intervals The fundamental guitar-chords—major and minor triads and dominant sevenths—are tertian chords, which concatenate third intervals, with each such third being either major (M3) or minor (m3). More triads: diminished and augmented As discussed above, major and minor triads are constructed by stacking thirds: • The major triad concatenates (M3,m3), supplementing M3 with a perfect-fifth (P5) interval, and • the minor triad concatenates (m3, M3), supplementing m3 with a P5 interval. Similar tertian harmonization yields the remaining two triads: • the diminished triad concatenates (m3,m3), supplementing m3 with a diminished-fifth interval, and • the augmented triad concatenates (M3,M3), supplementing M3 with an augmented-fifth interval. More sevenths: major, minor, and (half-)diminished Stacking thirds also constructs the most used seventh-chords. The most important seventh-chords concatenate a major triad with a third interval, supplementing it with a seventh interval: • The (dominant) major-minor seventh concatenates a major triad with another minor third, supplementing it with a minor-seventh interval. • The major seventh concatenates a major triad with a major third, supplementing it with a major-seventh interval. • The minor seventh concatenates a minor triad with a minor third, supplementing it with a minor-seventh interval. • The half-diminished seventh concatenates a diminished triad with a major third, supplementing it with a diminished-seventh interval. • The (fully) diminished seventh concatenates a diminished triad with a minor third, supplementing it with a diminished-seventh interval. Four of these five seventh-chords—all but the diminished seventh—are constructed via the tertian harmonization of a major scale. As already stated, • The major-minor seventh has the dominant V7 function. • The major seventh plays the tonic (I7) and subdominant (IV7) roles; • The minor seventh plays the ii7, iii7, and vi7 roles. • The half-diminished seventh plays the vii7 role. While absent from the tertian harmonization of the major scale, • The diminished seventh plays the vii7 role in the tertian harmonization of the harmonic minor scale. (dominant), (minor), (half-diminished), (major), , , or When playing seventh chords, guitarists often play only a subset of notes from the chord. The fifth is often omitted. When a guitar is accompanied by a bass, the guitarist may omit the bass note from a chord. As discussed earlier, the third of a triad is doubled to emphasize its major or minor quality; similarly, the third of a seventh is doubled to emphasize its major or minor quality. The most frequent seventh is the dominant seventh; the minor, half-diminished, and major sevenths are also popular. its sevenths occur in the tertian harmonization in sevenths of the minor scale. Other subsequences of the fifths-circle chord progression are used in music. In particular, the ii–V–I progression is the most important chord progression in jazz music. Chord chart guide for major inversions Major inversions for guitar in standard tuning. The low E is on the left. The A demonstrates three of the different movable shapes. • A: [XXX655] | A: [XXX9(10)9] | A: [XXX220] • B: [XXX442] • C: [XXX553] • D: [XXX775] • E: [XXX997] • F: [XXX211] • G: [XXX433] Specific tunings Standard tuning: minor and major sevenths Besides the dominant seventh chords discussed above, other seventh chords—especially minor seventh chords and major seventh chords—are used in guitar music. Minor seventh chords have the following fingerings in standard tuning: • Dm7: [XX0211] • Em7: [020000] • Am7: [X02010] • Bm7: [X20202] • Fm7: [202220] or ([XX2222] Also an A/F Chord) Major seventh chords have the following fingerings in standard tuning: • Cmaj7: [X32000] • Dmaj7: [XX0222] • Emaj7: [021100] • Fmaj7: [103210] • Gmaj7: [320002] • Amaj7: [X02120] Major-thirds tuning In major-thirds (M3) tuning, the chromatic scale is arranged on three consecutive strings in four consecutive frets. For each hand position of four frets, the hand is stationary and the fingers move, each finger being responsible for exactly one fret. Consequently, three hand positions (covering frets 1–4, 5–8, and 9–12) partition the fingerboard of classical guitar, which has exactly 12 frets. Only two or three frets are needed for the guitar chords—major, minor, and dominant sevenths—which are emphasized in introductions to guitar-playing and to the fundamentals of music. Each major and minor chord can be played on exactly two successive frets on exactly three successive strings, and therefore each needs only two fingers. Other chords—seconds, fourths, sevenths, and ninths—are played on only three successive frets. ==Advanced chords and harmony==
Advanced chords and harmony
Sequences of thirds and seconds The circle of fifths was discussed in the section on intermediate guitar chords. Other progressions are also based on sequences of third intervals; progressions are occasionally based on sequences of second intervals. Extended chords As their categorical name suggests, extended chords indeed extend seventh chords by stacking one or more additional third-intervals, successively constructing ninth, eleventh, and finally thirteenth chords; thirteenth chords contain all seven notes of the diatonic scale. In closed position, extended chords contain dissonant intervals or may sound supersaturated, particularly thirteenth chords with their seven notes. Consequently, extended chords are often played with the omission of one or more tones, especially the fifth and often the third, as already noted for seventh chords; similarly, eleventh chords often omit the ninth, and thirteenth chords the ninth or eleventh. Often, the third is raised an octave, mimicking its position in the root's sequence of harmonics. Dominant ninth chords were used by Beethoven, and eleventh chords appeared in Impressionist music. Thirteenth chords appeared in the twentieth century. Extended chords appear in many musical genres, including jazz, funk, rhythm and blues, and progressive rock/progressive metal. Whole tone scales were used by King Crimson for the title track on its Red album of 1974; Beyond tertian harmony In popular music, chords are often extended also with added tones, especially added sixths. Quartal and quintal harmony Chords are also systematically constructed by stacking not only thirds but also fourths and fifths, supplementing tertian major–minor harmony with quartal and quintal harmonies. Quartal and quintal harmonies are used by guitarists who play jazz, folk, and rock music. Quartal harmony has been used in jazz by guitarists such as Jim Hall (especially on Sonny Rollins's The Bridge), George Benson ("Skydive"), Kenny Burrell ("So What"), and Wes Montgomery ("Little Sunflower"). Harmonies based on fourths and fifths also appear in folk guitar. On her 1968 debut album Song to a Seagull, Joni Mitchell used both quartal and quintal harmony in "Dawntreader", and she used quintal harmony in "Seagull". Quartal and quintal harmonies also appear in alternate tunings. It is easier to finger the chords that are based on perfect fifths in new standard tuning than in standard tuning. New standard tuning was invented by Robert Fripp, a guitarist for King Crimson. Preferring to base chords on perfect intervals—especially octaves, fifths, and fourths—Fripp often avoids minor thirds and especially major thirds, which are sharp in equal temperament tuning (in comparison to thirds in just intonation). Alternative harmonies can also be generated by stacking second intervals (major or minor). == See also ==
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