Claude · Music by Design · A Series
Pack 06 · The Stack

How Chords Actually Work

Pack 05 showed you the machine: a string vibrates, and everything else is consequence. This pack runs the same machine on chords. A chord is not a shape. It is a stack of thirds cut out of a scale, and every rule about chords — why there are only four triads, why vi can stand in for I, why a ii–V–I is two notes, why a triad over the wrong bass sounds like fusion — falls out of that one fact. Eight laws, each caused by the last, every voicing verified in E.

Design note. Chord books teach shapes. Shapes are the last thing you should learn, because a shape hides the stack. Here the order is: thirds are the only stable stack → the scale makes seven chords → chords that share notes do the same job → a chord is a set, not a shape → keep stacking and the chord becomes the scale → two notes define everything → any chord can borrow a V or a neighbour → a triad over a bass names a mode. Play it in that order and you'll never need a chord dictionary again.

00The Chain of Consequences

Same rule as Pack 05: each law exists because of the one before it.

LAW 01
Thirds are the only stable stack

Partials 4:5:6 of the string are a major triad. Stack two thirds and there are exactly four outcomes. That's every triad there is.

LAW 02
The scale makes seven chords

Stack thirds inside the seven-fifths stack and you get I ii iii IV V vi vii°. Quality is decided by position, not choice.

LAW 03
Shared notes, shared job

Chords that overlap do the same work. Three families: home, away, pull. That's why vi can replace I and why ii replaces IV.

LAW 04
A chord is a set, not a shape

E–G♯–B in any order is E. So the smoothest progression is the one where each voice barely moves. Voice leading is just laziness done well.

LAW 05
Keep stacking, get the scale

7, 9, 11, 13 are just more thirds. And the top of one chord is the bottom of another — rootless voicings are free.

LAW 06
Two notes define everything

The 3rd and 7th fix the quality. The root is the bass player's problem. A ii–V–I is two strings.

LAW 07
Any chord can borrow

Every chord can be preceded by its own V (gravity works anywhere). Every key can borrow from its parallel minor (the stack next door).

LAW 08
A triad over a bass is a mode

Put a triad on top of a different root and you've named a scale in one grab. This is the fusion chord, explained.

LEGEND: everything in E · amber = root · teal = 3rd / 7th (the notes that define quality) · rust = the note that changed or the borrowed note · x = don't play

01Thirds Are the Only Stable Stack

Pack 05, Law 01: the string's partials 4, 5 and 6 are E, G♯, B — a major triad. Those three notes are in the ratio 4:5:6, the simplest three-note ratio there is. So the triad is stable because it's what the string already does, and a third-plus-a-third is the stack the ear accepts as "one thing." Now the arithmetic: a third is either major (4 frets) or minor (3 frets). Two of them, in order, gives four possibilities. That's all the triads that exist.

Law 01 · four and only four

Major, Minor, Diminished, Augmented — Built from E

Big third then small = major. Small then big = minor. Small then small = diminished (too narrow, it shrinks). Big then big = augmented (too wide, it floats). Play all four from E and hear each one's personality come from its shape, not its name.
TriadStackNotesFeel
E major4 + 3E G♯ Bsettled — the string's own chord
E minor3 + 4E G Bsettled but shadowed
E diminished3 + 3E G A♯pinched — contains the tritone, wants out
E augmented4 + 4E G♯ Cweightless — octave in three equal parts (Pack 05 Law 06)
       E       Em      Edim     Eaug
e|-----0-------0-------3-------0-----|
B|-----0-------0-------5-------1-----|
G|-----1-------0-------3-------1-----|
D|-----2-------2-------2-------2-----|
A|-----2-------2-------x-------3-----|
E|-----0-------0-------x-------0-----|
  G♯ is the only difference between E and Em — one fret decides the mood

The thing to take away: every chord you will ever play is one of these four with more thirds stacked on top. There is no fifth kind. Sus chords aren't a fifth kind — they're a triad with the third removed, which is why they sound like a question (no third, no mood).

TARGET · play the four in a row, slowly · then only E and Em, alternating, listening to the G string · that one fret is the whole subject of major and minor

02The Scale Makes Seven Chords

Take E major — the seven-fifths stack from Pack 05 — and build a stack of thirds on each note, using only notes from the scale. You don't get to choose the quality. The scale decides. Three come out major, three minor, one diminished, and it is always in the same order in every major key on earth: I ii iii IV V vi vii°.

Law 02 · the harmonised scale

Seven Chords, Four Shapes, One String

All seven as four-note 7th chords, root on the A string, walking up the neck. Notice there are only four shapes — maj7, m7, dom7, m7♭5 — because there are only four ways the thirds can fall. The shape tells you the quality; the fret tells you the name.
        Emaj7   F♯m7    G♯m7    Amaj7   B7      C♯m7    D♯m7♭5  (Emaj7)
        I       ii      iii     IV      V       vi      vii°
B|------9-------10------12------14------16------5-------7-------9-----|
G|------8-------9-------11------13------14------4-------6-------8-----|
D|------9-------11------13------14------16------6-------7-------9-----|
A|------7-------9-------11------12------14------4-------6-------7-----|
  shape: maj7    m7      m7      maj7    dom7    m7      m7♭5    (B7 low: x-2-4-2-4)

Why the qualities land where they do: the major chords (I, IV, V) sit on the three notes touching each other in the stack of fifths — E's nearest neighbours A and B. The minor chords sit on the next three. The diminished chord sits on D♯, the far end of the stack, the note least related to home — so of course its chord is the unstable one. Chord quality is position on the circle of fifths. Same law as the mode dimmer in Pack 05.

TARGET · play the seven up and back · then say the roman numeral before each one · then play only the three majors, then only the three minors

03Shared Notes, Shared Job

Look at the notes. E is E G♯ B. C♯m is C♯ E G♯. G♯m is G♯ B D♯. They overlap by two notes each — so they do roughly the same job. That's the whole of "harmonic function": the seven chords sort into three families by what they share. Home (I, vi, iii), away (IV, ii), pull (V, vii°). Every progression in every style is a walk between those three rooms.

Law 03 · the three families

Substitution Is Just Overlap

Top-three-string triads. Play E, then C♯m: two of the three notes don't move. Play A, then F♯m: same. Play B, then D♯dim: same. When you swap a chord for its family member, the listener hears "the same place, redecorated." That's why vi–IV–I–V and I–IV–I–V are the same song.
FamilyChordsShared notesJob
Home (tonic)E · C♯m · G♯mE–G♯ · G♯–Brest, arrival, "we're here"
Away (subdominant)A · F♯mA–C♯departure, lift, "somewhere else"
Pull (dominant)B7 · D♯dimD♯–F♯ (+ the tritone D♯–A)tension, "go home now"
      E → C♯m         A → F♯m         B → D♯dim
e|----4-----4----|----5-----5----|----7-----5----|
B|----5-----5----|----5-----7----|----7-----7----|
G|----4-----6----|----6-----6----|----8-----8----|
   two notes stay     two notes stay    two notes stay — same job, new colour

The pay-off for writing and soloing: a progression is just a route through three rooms. Home → away → pull → home is I–IV–V–I. Home → away → home is the plagal "amen." Home → pull → home is the blues turnaround. When you want a progression to feel new without changing the route, swap within the family — that's what every "sad version" of a happy song does (I becomes vi).

TARGET · play I–IV–V–I · then vi–ii–V–I · then iii–IV–V–vi · hear that it's the same journey three times
Hear it on record

"Little Wing" — Hendrix. Em → G → Am → Em → Bm → B♭ → Am → C → G → F → C → D. It moves between home (Em, G), away (Am, C) and pull (Bm, D) — and the B♭ and F are Law 07 arriving early. Hendrix wasn't thinking roman numerals, but the ear was, which is why it never sounds like twelve chords; it sounds like three rooms and a garden.

04A Chord Is a Set, Not a Shape

E major is the set {E, G♯, B}. Any order, any octave, any string. So a chord has as many "shapes" as there are ways to arrange three notes — and the useful ones are the three inversions: root on the bottom, 3rd on the bottom, 5th on the bottom. Once you see chords as sets, the smoothest way from one to the next is obvious: move each note as little as possible. That's voice leading, and it's why pianists sound smooth and guitarists who only know barre chords don't.

Law 04a · one chord, three places

E Major on the Top Three, Three Ways

       root pos   1st inv    2nd inv
       E G♯ B     G♯ B E     B E G♯
e|-----7---------12---------4------|
B|-----9---------12---------5------|
G|-----9---------13---------4------|
  the same set, three different bottoms — pick the one nearest your hand
Law 04b · laziness done well

I – IV – V – I With Nobody Moving More Than Two Frets

The Triad Walk from Pack 04, now with the reason. Watch each string: the top note goes G♯ → A → B → B. The middle goes E → E → F♯ → G♯. The bottom goes B → C♯ → D♯ → E. Three melodies, each stepping. The chords change; nothing jumps. This is what "smooth" physically is.
       E        A        B        E
e|-----4--------5--------7--------7-----|   G♯  A   B   B
B|-----5--------5--------7--------9-----|   E   E   F♯  G♯
G|-----4--------6--------8--------9-----|   B   C♯  D♯  E
  every voice moves by step or not at all

Landau's rhythm playing is this law. He almost never plays the same chord shape twice in a row; he plays the nearest inversion, so the top note of the chords makes a melody on its own. The Custom Standard on the neck pickup, top-three-string triads, volume at 6 — that's the sound, and it's a consequence of chords being sets.

TARGET · play I–IV–V–I in all three inversion "lanes" (start at 4, at 9, at 12) · sing the top note as you go

05Keep Stacking, Get the Scale

Pack 05 Law 05 said a scale stacked in thirds is one big chord. The chord-side version: 7ths, 9ths, 11ths and 13ths aren't new chords, they're the same stack continued. E G♯ B is E. Add D♯: Emaj7. Add F♯: Emaj9. And here's the trick that makes jazz and fusion voicings cheap — the top of one chord is the bottom of the next. The upper four notes of Emaj9 (G♯ B D♯ F♯) are G♯m7. So G♯m7 is Emaj9 with the root missing. The bass player has the root. You never needed it.

Law 05 · rootless for free

iii m7 = I maj9 · iii m7♭5 = I 9

Play Emaj9 with the root. Then play G♯m7 on the top four strings — you'll hear it's the same chord with the floor removed. Then flatten the D♯ to D and it's E9 (rootless). One shape, two frets, and you're comping like a piano player.
       Emaj9      G♯m7 = Emaj9 (no root)    G♯m7♭5 = E9 (no root)
e|-----x-------------7----------------------7----------|   B   5
B|-----7-------------7----------------------7----------|   F♯  9
G|-----8-------------8----------------------7----------|   D♯ / D   7 / ♭7
D|-----6-------------6----------------------6----------|   G♯  3
A|-----7-------------x----------------------x----------|   E   R   (bass player's job)
E G♯ B D♯ F♯ A C♯  = Emaj13  = E Ionian in thirds
   G♯ B D♯ F♯       = G♯m7   = Emaj9 without E
   G♯ B D F♯        = G♯m7♭5 = E9 without E
Every big chord contains a small chord on a different root. Fusion comping is playing the small one.

The rule of thumb: for any I chord, play the iii chord and it becomes a 9th. For any dominant, play the m7♭5 a major third up. Henderson's voicings are almost all this — four notes, no root, the bass underneath doing the naming.

TARGET · loop an E bass note on the RC-5 · play G♯m7, G♯m7♭5, back and forth · hear Emaj9 → E9 → Emaj9 without ever playing an E

06Two Notes Define Everything

Follow Law 05 to its end. The root is the bass player's. The 5th is in the harmonic series of the root anyway (Pack 05 Law 01 — the amp plays it for you). What's left? The 3rd and the 7th. Those two notes decide major or minor, dominant or not. Everything else is colour. So a whole ii–V–I fits on two strings.

Law 06 · guide tones

F♯m7 → B7 → Emaj7 on the G and B Strings

Watch how little moves. F♯m7's 3rd and 7th are A and E. B7's are D♯ and A — the A stays, E drops to D♯. Emaj7's are G♯ and D♯ — the D♯ stays, A drops to G♯. Two notes, and at each change one of them holds still. This is the skeleton of every jazz standard, and it's why the Long Note practice works: the note you hold is always one of these.
       F♯m7     B7       Emaj7
       ii       V        I
B|-----5--------4--------4------|   E(♭7) → D♯(3) → D♯(7)
G|-----2--------2--------1------|   A(♭3) → A(♭7) → G♯(3)
  at every change, one note stays and one note falls a fret

Why this changes your soloing: if you land on the 3rd or 7th of each chord as it arrives, you are "playing the changes" with one note per bar. The rest of the bar can be anything. Pack 01's motif-redesign (D became C♯ over A7) was this law — C♯ is A7's 3rd. You were doing guide tones before you knew the name.

TARGET · play the two-note ii–V–I · then solo over the loop landing ONLY on the two-note chord at each change · then let the rest be free

07Any Chord Can Borrow

Two ways out of the seven-chord box, both consequences of laws you've already played. First: gravity (Pack 05 Law 02) works from any note, so any chord can be preceded by its own V — a secondary dominant. Second: the parallel minor is just the stack next door (three clicks darker on the dimmer), so any chord from E minor can be borrowed into E major and the ear accepts it as a shadow passing over.

Law 07a · the secondary dominant

E → G♯7 → C♯m: Borrow a V for the vi

C♯m's own V is G♯7. G♯7 is not in E major — it has a B♯ (C) in it. That one wrong note is the point: it's the leading tone of C♯, and it makes C♯m arrive like a destination instead of a family member. This is the chord that makes a vi feel like an event.
       G♯7          C♯m7
B|-----13-----------5------|   B♯ (C) → E   ← the borrowed leading tone
G|-----11-----------4------|
D|-----13-----------6------|
A|-----11-----------4------|
Law 07b · borrowed from the minor

♭VI, ♭VII and iv — the Shadow Chords

E minor's stack contains C, D and Am. Drop any of them into an E major progression and the light dims for a bar. C is the "epic" chord. D is the rock chord (E–D–A is half the songs you love). Am is the minor plagal — the saddest way to come home there is.
       E        D(♭VII)  C(♭VI)   B7       E             E        Am(iv)   E
e|-----0--------2--------0--------2--------0-----|  e|---0--------0--------0-----|
B|-----0--------3--------1--------0--------0-----|  B|---0--------1--------0-----|
G|-----1--------2--------0--------2--------1-----|  G|---1--------2--------1-----|
D|-----2--------0--------2--------1--------2-----|  D|---2--------2--------2-----|
A|-----2--------x--------3--------2--------2-----|  A|---2--------0--------2-----|
E|-----0--------x--------x--------x--------0-----|  E|---0--------x--------0-----|
  major → shadow → shadow → pull → home                the minor plagal: home, grief, home

The mechanism: the borrowed chords all carry a note from the parallel minor — G, C or D — that E major doesn't have. The ear hears the stack shift one or three clicks darker and back. It's the dimmer switch from Pack 05, applied to chords rather than scales. Nothing is "outside." It's next door.

TARGET · play E–D–C–B7–E · then E–Am–E · then insert G♯7 before any C♯m · you now have twelve usable chords in E instead of seven

08A Triad Over a Bass Is a Mode

The fusion chord, finally explained. Put a plain triad on top of a different bass note and you get a big extended chord for the price of a small one — and, better, the pair names a scale. D over E is E Mixolydian. F♯ over E is E Lydian. G over E is E Dorian or Aeolian. One grab, one mode. This is how Henderson and Landau comp: simple triads, moving bass, huge harmony.

Law 08 · slash chords

D/E · F♯/E · G/E — Three Modes, Three Grabs

The low E rings throughout. On top: a D triad (D F♯ A = E's ♭7, 9, 11) — that's E9sus, the Mixolydian sound. Swap to F♯ (F♯ A♯ C♯ = 9, ♯11, 13) — the ♯11 is Lydian, floating, the Landau clean chord. Swap to G (G B D = ♭3, 5, ♭7) — Em7, the Dorian/Aeolian sound. You've just played three modes as three chords without moving the bass.
       D/E           F♯/E           G/E
       = E9sus       = E13♯11 (no 3) = Em7
       Mixolydian    Lydian          Dorian / Aeolian
e|-----2-------------2--------------3------|
B|-----3-------------2--------------0------|
G|-----2-------------3--------------0------|
D|-----0-------------4--------------0------|
A|-----x-------------x--------------2------|
E|-----0-------------0--------------0------|
  same bass, three triads, three worlds — the ♯11 (A♯) in F♯/E is the Lydian tell

Why it sounds like fusion: a slash chord has no 3rd in the guitar part (or hides it), so the quality is ambiguous — and ambiguity plus a strong bass is exactly the Pack 05 Law 06 float, but with a home. It's the sound of a mode being stated rather than a chord being played. Landau's "clean, huge, undefined" chords are this: a triad, the bass elsewhere, the BigSky doing the rest.

TARGET · E drone on the looper · cycle D/E → F♯/E → G/E, two bars each · solo over each with its mode · you're playing the dimmer switch as harmony

09The Proof — Eight Bars, Eight Laws

A progression in E where every chord is a law. Nothing is decorative. Loop it, comp it, then solo over it landing on guide tones.

◈ The Designed Progression · E · 8 bars

Play the Stack

bar   chord              law
1     Emaj9              Law 05 — the stack continued
2     C♯m7               Law 03 — home family, redecorated
3     F♯m7  →  B7        Law 06 — the two-note engine (ii–V)
4     Emaj7              Law 02 — I, the scale's own chord
5     G♯7                Law 07a — secondary dominant, the borrowed leading tone
6     C♯m7               arrives as a destination this time
7     Am7   →  D/E       Law 07b (borrowed iv) → Law 08 (slash, Mixolydian)
8     F♯/E  →  B7        Law 08 (Lydian float) → Law 03 (pull) → back to bar 1

voicings (all verified)
       Emaj9   C♯m7    F♯m7    B7      Emaj7   G♯7     C♯m7    Am7     D/E     F♯/E    B7
e|-----x-------x-------x-------x-------x-------x-------x-------0-------2-------2-------2----|
B|-----7-------5-------10------4-------9-------13------5-------1-------3-------2-------0----|
G|-----8-------4-------9-------2-------8-------11------4-------0-------2-------3-------2----|
D|-----6-------6-------11------4-------9-------13------6-------2-------0-------4-------1----|
A|-----7-------4-------9-------2-------7-------11------4-------0-------x-------x-------2----|
E|-----x-------x-------x-------x-------x-------x-------x-------x-------0-------0-------x----|

Listen for the joins. Bar 1→2: Emaj9 to C♯m7 — three notes in common, the floor drops a third, nothing else moves (Laws 03 and 05 at once). Bar 3: watch only the G and B strings — A/E → A/D♯ → G♯/D♯ — the guide tones doing the whole job. Bar 5→6: the C (B♯) in G♯7 is the one note not in E major, and it's why bar 6's C♯m7 lands harder than bar 2's. Bar 7: Am7 is the shadow; D/E lifts it into Mixolydian; F♯/E in bar 8 lifts again into Lydian, and B7 pulls the whole thing home. Three rooms, two borrowings, one bass note, eight laws.

TARGET · comp it with top-three inversions only (Law 04) · then solo landing on 3rds and 7ths at each change (Law 06) · then record both

10How To Practise This

The Method

One law per day again, in order. Day 1 is the four triads until you hear the shape, not the name. Day 2 is the harmonised scale until you can say the numeral before the chord. Day 4 is inversions until your hand goes to the nearest one without thinking. Day 6 is the two-string ii–V–I — do this one until it's boring; it's the most important page in the pack. Then loop The Proof and comp for ten minutes with nothing but top-three inversions and slash chords.

The Tone

This is a comping pack, so it's the Custom Standard, neck SSV, DCX as the desk, Jan Ray off. Laws 04–06 want the top three strings clear — Mesa clean with a touch of Mobius chorus and a plate, volume at 6 so the triads don't bloom into mush. Laws 07–08 are the Landau clean chord: Jan Ray on, volume at 5, BigSky big. When the Deluxe Reverb arrives, all of this is what it's for.

Where This Sits

Session 14 (How Chords Are Built) was the "what." This is the "why," and it closes the loop with Pack 05: scales and chords are the same seven notes stacked two ways, so every law about one is a law about the other. Pack 07, when it comes, applies the machine to rhythm — the third thing the string does.