Module 8: Voicings II: drop-2, drop-3 and rootless shapesLesson 5advanced⏱ 90 min + three weeks of daily drills

Extensions, rootless voicings and altered dominants

Turn your drop-2 shapes into 9th and 13th chords by replacing roots and 5ths, learn the rootless "A" and "B" forms for the ii–V–I, and voice 7b9, 7#9 and 7alt dominants that resolve cleanly to major and minor tonics.

Why rootless

A bass player plays the root. A pianist's left hand plays the root. If you also play the root, three people are playing the least interesting note in the chord. Every drop-2 shape from lessons 1 and 2 holds a root and a 5th, and neither of them tells the listener anything about the chord's colour. Replace them with the 9th and the 13th and you have a rootless voicing: the same four fingers, the same string set, the same voice leading, but the sound of a record instead of a chord book.

The second half of the lesson applies the idea to dominant chords, where the replacements can be altered (b9, #9, b13) to make the V chord pull harder towards the I. The shapes are the ones you already know, so the work is mostly in the ear.

The substitution principle

Two substitutions do most of the work:

  • 9 for the root. The 9th is a whole step above the root. In any drop-2 shape, find the finger on the root and move it up two frets (on the same string) and the chord becomes a 9th chord with no root: maj7 becomes maj9, m7 becomes m9, 7 becomes 9.
  • 13 for the 5th. The 13th is a whole step above the 5th. On a dominant chord, move the 5th up two frets and a 9 chord becomes a 13 chord (or a 7 chord becomes a 7 with a 13th). On major and minor chords the 13th is the same note as the 6th; it is used, but less often, because the 5th of a tonic chord is doing useful work holding the chord still.
SymbolNameFormulaNotes
Dm9minor ninth1 b3 5 b7 9D F A C E
G9dominant ninth1 3 5 b7 9G B D F A
G13dominant thirteenth1 3 5 b7 9 13G B D F A E
Cmaj9major ninth1 3 5 7 9C E G B D
G7b9dominant seven flat nine1 3 5 b7 b9G B D F Ab
G7#9dominant seven sharp nine1 3 5 b7 #9G B D F A#
G7altaltered dominant1 3 b7 b9 #9 b13G B F Ab A# Eb
C6/9six-nine1 3 5 6 9C E G A D

Here is the transformation on the G7 root-position and second-inversion shapes. Nothing is added: one finger moves, then another.

G7 becomes G9 becomes G13 by moving one finger at a time
Bar 1: root position, the root on string 5 goes up to the 9th (A), then the 5th on string 4 goes up to the 13th (E). Bar 2: the same two moves on the second-inversion shape, where the 5th is in the bass and the root is on string 4.
alphaTex source
\tempo 80
.
\ts 4 4
:4 (10.5 12.4 10.3 12.2){ch "G7"} (12.5 12.4 10.3 12.2){ch "G9"} :2 (12.5 14.4 10.3 12.2){ch "G13"} | :4 (5.5 5.4 4.3 6.2){ch "G7"} (5.5 7.4 4.3 6.2){ch "G9"} :2 (7.5 7.4 4.3 6.2){ch "G13"} |
G9G9strings 5432 · 9 in bass10fr×95b73×ADFB
G9, from the root-position G7 (9 replaces root)
G13G13strings 5432 · 9 in bass10fr×913b73×AEFB
G13, from the same shape (13 replaces 5th)
G9G9strings 5432 · 5 in bass4fr×593b7×DABF
G9, from the second-inversion G7
G13G13strings 5432 · 13 in bass4fr×1393b7×EABF
G13, from the same shape

The same first move applied to the ii and I chords:

Dm7 to Dm9 and Cmaj7 to Cmaj9
In each bar the root on string 5 moves up a whole step to the 9th. The rootless shape of Dm9 is an Fmaj7 drop-2 shape; the rootless Cmaj9 is an Em7 shape. That is not a coincidence: a 9th chord without its root is the seventh chord built on its 3rd.
alphaTex source
\tempo 80
.
\ts 4 4
:2 (5.5 7.4 5.3 6.2){ch "Dm7"} (7.5 7.4 5.3 6.2){ch "Dm9"} | (3.5 5.4 4.3 5.2){ch "Cmaj7"} (5.5 5.4 4.3 5.2){ch "Cmaj9"} |
Dm9Dm9strings 5432 · 9 in bass5fr×95b7b3×EACF
Dm9 rootless (looks like Fmaj7)
Cmaj9Cmaj9strings 5432 · 9 in bass×9573×DGBE
Cmaj9 rootless (looks like Em7)
Dm9Dm9strings 5432 · b7 in bass×b7b359×CFAE
Dm9 rootless, lower position
Cmaj9Cmaj9strings 5432 · 7 in bass×7359×BEGD
Cmaj9 rootless, lower position
Theory note

Take the root away from Dm9 (D F A C E) and F A C E is left: an Fmaj7 chord. Take the root from Cmaj9 and you have Em7; from G9, Bm7b5; from G13 (keeping 3, 13, 7, 9) a shape with no simpler name. You do not need new fingerings for 9th chords; you need to know which old fingering, played over which bass note, produces which sound. The chord dictionary's rootless category lists the shapes under the extended chord names so you can look them up either way.

The rootless "A" and "B" forms

Pianists name two standard rootless four-note layouts for the ii–V–I, and the names are useful on guitar too:

  • Form A stacks 3 – 5 – 7 – 9 from the bottom (for a dominant, 3 – 13 – 7 – 9 is the usual variant).
  • Form B stacks 7 – 9 – 3 – 5 (for a dominant, 7 – 9 – 3 – 13).

Form A of one chord leads to form B of the next and back again, which is why they come in a pair. On guitar the close stacks are stretchy or impossible on one string set, so what we actually play is the drop-2 of each form: the shapes you have just built. The diagrams show one close form on the 4-3-2-1 set, where the open strings make it possible, and the drop-2 forms on 5-4-3-2.

Dm9Dm9strings 5432 · b3 in bass5fr×b35b79×FACE
Form A of Dm9: b3 5 b7 9
G13G13strings 4321 · b7 in bass××b79313FABE
Form B of G13: b7 9 3 13
G13G13strings 4321 · b7 in bass××b73139FBEA
G13 drop-2 of form B: b7 3 13 9 (the classic guitar shape)
G13G13R×b7313×GFBE

The last diagram is the same G13 shape with the root added on string 6 for solo playing. On a gig with a bass player you would leave the low G out.

Rootless ii–V–I in C, F and Bb on strings 5-4-3-2
Dm9–G13–Cmaj9, Gm9–C13–Fmaj9, Cm9–F13–Bbmaj9. The ii to V change moves one finger each time; the V to I is a position shift of two frets. Swing it, two beats per chord.
alphaTex source
\tempo 110
.
\ts 4 4
:2 (7.5 7.4 5.3 6.2){ch "Dm9"} (7.5 7.4 4.3 6.2){ch "G13"} | :1 (5.5 5.4 4.3 5.2){ch "Cmaj9"} | :2 (5.5 7.4 3.3 6.2){ch "Gm9"} (5.5 7.4 3.3 5.2){ch "C13"} | :1 (3.5 5.4 2.3 5.2){ch "Fmaj9"} | :2 (5.5 5.4 3.3 4.2){ch "Cm9"} (5.5 5.4 2.3 4.2){ch "F13"} | :1 (3.5 3.4 2.3 3.2){ch "Bbmaj9"} |

Listen to the top voice of the C phrase: F, F, E. The b3 of the ii becomes the b7 of the V without moving, then falls a half step to the 3rd of the I. A top voice that barely moves is what pianists call "the lazy voice", and it is one of the most useful sounds in comping behind a soloist, because it stays out of their way.

7b9: the diminished shape

Replace the root of a dominant chord with the b9 instead of the 9 and the four remaining notes (3, 5, b7, b9) form a diminished seventh chord. G7b9 without its root is B–D–F–Ab, which is Bdim7, which is also Ddim7, Fdim7 and Abdim7. So every dim7 shape you learned in lesson 1 is already a rootless 7b9 for four different dominants, and moving the shape up three frets gives another inversion of the same chord.

Bdim7Bdim7strings 5432 · 2nd inversion7fr×b5Rb3bb7×FBDAb
each shape is also a rootless G7b9
Bdim7Bdim7strings 5432 · 3rd inversion10fr×bb7b3b5R×AbDFB
each shape is also a rootless G7b9
Bdim7Bdim7strings 5432 · root position×Rb5bb7b3×BFAbD
each shape is also a rootless G7b9
Bdim7Bdim7strings 5432 · 1st inversion4fr×b3bb7Rb5×DAbBF
each shape is also a rootless G7b9
G7b9G7b9strings 5432 · 3 in bass×3b7b95×BFAbD
G7b9 rootless: the Bdim7 root-position shape
G7b9G7b9strings 5432 · 5 in bass4fr×5b93b7×DAbBF
G7b9 rootless, three frets higher
G7b9G7b9strings 4321 · b7 in bass××b735b9FBDAb
G7b9 rootless on the top set
G7b9 resolving to Cmaj7 in four positions
Each bar: a rootless G7b9 (a dim7 shape) for two beats, then the nearest Cmaj7. The dim7 shape moves up three frets per bar and stays the same chord.
alphaTex source
\tempo 92
.
\ts 4 4
:2 (2.5 3.4 1.3 3.2){ch "G7b9"} (2.5 2.4 0.3 1.2){ch "Cmaj7"} | (5.5 6.4 4.3 6.2){ch "G7b9"} (3.5 5.4 4.3 5.2){ch "Cmaj7"} | (8.5 9.4 7.3 9.2){ch "G7b9"} (7.5 9.4 5.3 8.2){ch "Cmaj7"} | (11.5 12.4 10.3 12.2){ch "G7b9"} (10.5 10.4 9.3 12.2){ch "Cmaj7"} |
Tip

The dim7 shape B–D–F–Ab is a rootless 7b9 for the four dominants whose roots sit a half step below each of its notes: G7b9 (below Ab), Bb7b9 (below B), Db7b9 (below D) and E7b9 (below F). When a chart says 7b9, find the dim7 shape a half step above the root (or on its 3rd, 5th or b7, which is the same shape elsewhere on the neck) and you have the chord.

7#9 and 7alt

The #9 is a half step above the 9. A dominant 7#9 contains both the major 3rd and, an octave and a bit higher, the minor 3rd spelled as #9: the "Hendrix chord", which in jazz is a blues-flavoured altered dominant. The 7alt symbol (also written 7#9b13 or just "alt") means a dominant with altered 9ths and the b13 instead of the 5th: the notes of the altered scale. On four strings you cannot play every alteration at once, so a 7alt voicing is any four-note shape with the 3rd, b7 and two altered tones.

G7#9G7#9strings 5432 · 3 in bass×3b7#95×BFA#D
G7#9 rootless: 3 b7 #9 5
G7#9G7#99fr×R3b7#9×GBFA#
G7altG7altstrings 5432 · 3 in bass×3b7#9b13×BFA#Eb
G7alt rootless: 3 b7 #9 b13
G7altG7altstrings 4321 · b7 in bass3fr××b73b13#9FBEbA#
G7alt rootless on the top set: b7 3 b13 #9
G7altG7alt××b73b13b9FBEbAb

The custom shape with the b9 on top (x x 3 4 4 4) is the most common guitar "alt" chord: a one-finger barre on the top three strings at the 4th fret with the b7 on string 4. It has no 5th, no root, and both the b9 and b13, which is the darkest sound of the family.

ii–V–I in C with b9, #9 and altered dominants
Three two-bar phrases in one position (frets 1–5): Dm9 to G7b9 to Cmaj9; Dm9 to G7#9 to Cmaj9; Dm9 to G7alt to C6/9. Listen to the top voice of the last phrase: E, Eb, D. Play each phrase slowly before swinging it.
alphaTex source
\tempo 100
.
\ts 4 4
:2 (3.5 3.4 2.3 5.2){ch "Dm9"} (2.5 3.4 1.3 3.2){ch "G7b9"} | :1 (2.5 2.4 0.3 3.2){ch "Cmaj9"} | :2 (3.5 3.4 2.3 5.2){ch "Dm9"} (2.5 3.4 3.3 3.2){ch "G7#9"} | :1 (2.5 2.4 0.3 3.2){ch "Cmaj9"} | :2 (3.5 3.4 2.3 5.2){ch "Dm9"} (2.5 3.4 3.3 4.2){ch "G7alt"} | :1 (3.5 2.4 2.3 3.2){ch "C6/9"} |
C6/9C6/9×R369×CEAD
Dm6/9Dm6/9×Rb369×DFBE

The 6/9 chord is the tonic sound that goes with altered dominants: a major triad with the 6th and 9th instead of the 7th, bright and open, with no note that the melody can clash with. The minor version, m6/9, is the matching tonic for a minor key.

Altered dominants in the minor ii–V–i

In minor keys the V chord is almost always altered, because the b9 and b13 are notes of the harmonic minor scale. The ii is half-diminished, which has no root to replace in the same way (its 9th is a b9, rarely voiced), so leave it as a plain drop-2 shape.

Minor ii–V–i in D minor with 7b9 and 7alt
Em7b5 (drop 2, third inversion) to A7b9 (a rootless dim7 shape) to Dm6/9; then Em7b5 to A7alt (3 b7 #9 b13) to Dm6/9. In the first phrase only one note changes between the ii and the V.
alphaTex source
\tempo 100
.
\ts 4 4
:2 (5.5 5.4 3.3 5.2){ch "Em7b5"} (4.5 5.4 3.3 5.2){ch "A7b9"} | :1 (5.5 3.4 4.3 5.2){ch "Dm6/9"} | :2 (5.5 5.4 3.3 5.2){ch "Em7b5"} (4.5 5.4 5.3 6.2){ch "A7alt"} | :1 (5.5 3.4 4.3 5.2){ch "Dm6/9"} |

A turnaround with everything in it

The I–VI7–ii–V turnaround with extended and altered voicings, in one position, with every change moving at most two voices by step:

Cmaj9 – A7b9 – Dm9 – G13 – C6/9
A full rootless turnaround between the 2nd and 5th frets. Cmaj9 to A7b9 moves two voices by a half step; Dm9 to G13 moves one finger; G13 to C6/9 moves three voices by step with the A held. Swing it at 110 and then loop it as an intro.
alphaTex source
\tempo 110
.
\ts 4 4
:2 (5.5 5.4 4.3 5.2){ch "Cmaj9"} (4.5 5.4 3.3 5.2){ch "A7b9"} | (3.5 3.4 2.3 5.2){ch "Dm9"} (2.5 3.4 2.3 5.2){ch "G13"} | :1 (3.5 2.4 2.3 3.2){ch "C6/9"} |
I–VI7–ii–V in every key: play it rootless with maj9, 7b9, m9 and 13
KeyImaj7VI7ii7V7
CCmaj7A7Dm7G7
FFmaj7D7Gm7C7
BbBbmaj7G7Cm7F7
EbEbmaj7C7Fm7Bb7
AbAbmaj7F7Bbm7Eb7
DbDbmaj7Bb7Ebm7Ab7
GbGbmaj7Eb7Abm7Db7
BBmaj7G#7C#m7F#7
EEmaj7C#7F#m7B7
AAmaj7F#7Bm7E7
DDmaj7B7Em7A7
GGmaj7E7Am7D7
Watch out

An altered dominant pulls towards its tonic. Over a V7 that resolves to I, b9, #9 and b13 all work; over a V7 that does not resolve where you expect (a blues I7 chord, a dominant that moves to another dominant, a static vamp) they can fight the soloist. Over a I7 or IV7 in a blues, prefer 9 and 13. And listen to the pianist: if they are playing a natural 9, your #9 will clash, not colour.

How to practise this lesson

  1. Transformations. Take each drop-2 shape of a 7 chord on one string set, move the root up to the 9, then the 5th up to the 13. Say what you are doing. Then the same on maj7 (root to 9 only) and m7 (root to 9 only). Then on the next string set.
  2. Rootless ii–V–I in twelve keys, on 5-4-3-2 first, from the notation and the chord dictionary rootless category, two beats per chord, around the cycle of fourths.
  3. Alter the V. Play the same ii–V–I with 7b9, then 7#9, then 7alt, then listen back and decide which you like against a recorded bass line.
  4. The turnaround above in all twelve keys, and the minor ii–V–i in D, G, C, F and A minor.
  5. Comp a tune. Choose a standard with mostly ii–V–I motion and comp it entirely rootless; record it with a metronome and listen for whether the harmony is still clear without the roots.
Practice
  • Week 1, 20 minutes a day. The 7 to 9 to 13 transformation on all four drop-2 shapes on strings 5-4-3-2 at 60 bpm, then on 4-3-2-1. From day 4: the rootless ii–V–I in C, F, Bb, Eb, Ab and Db at 100 bpm, two beats per chord, metronome on 2 and 4.
  • Week 2, 20 minutes a day. The remaining six keys. Then the V chord altered: 7b9 (dim7 shapes) in all keys, 7#9 and 7alt in C, F, Bb and Eb. The minor ii–V–i in D, G, C and F minor with 7b9 and with 7alt.
  • Week 3, 20 minutes a day. The rootless turnaround in all twelve keys at 110–120 bpm, then one full standard comped rootless with the metronome on 2 and 4 at 120 bpm. Record it and check that every V chord resolves and that no altered note clashes with the melody.
  • Progress check: play a rootless ii–V–I with a plain, b9, #9 or altered V in any key within three seconds of the call, on strings 5-4-3-2 or 4-3-2-1.

Quiz