The two pillars upon which the Western tongue of music was raised — one bright, one shadowed, both born of the same seven-letter alphabet.
Seven doors opening onto the same room. Each mode holds the identical notes as its parent Major scale — only the starting stone differs, and with it, the light.
| Mode | Formula from Major Scale Degree | C-Root Example |
|---|---|---|
| Ionian | 1st degree — Major scale | C-D-E-F-G-A-B-C |
| Dorian | 2nd degree — W-H-W-W-W-H-W | D-E-F-G-A-B-C-D |
| Phrygian | 3rd degree — H-W-W-W-H-W-W | E-F-G-A-B-C-D-E |
| Lydian | 4th degree — W-W-W-H-W-W-H | F-G-A-B-C-D-E-F |
| Mixolydian | 5th degree — W-W-H-W-W-H-W | G-A-B-C-D-E-F-G |
| Aeolian | 6th degree — Natural Minor | A-B-C-D-E-F-G-A |
| Locrian | 7th degree — H-W-W-H-W-W-W | B-C-D-E-F-G-A-B |
The Natural Minor, sharpened at the seventh — a single raised tone that opens a gap of a step-and-a-half, and with it, a whole family of modes carrying an exotic, dominant tension.
Seven modes rise from this scale in turn — the key voices among them:
| № | Mode |
|---|---|
| 1 | Harmonic Minor |
| 2 | Locrian ♮6 |
| 3 | Ionian ♯5 |
| 4 | Dorian ♯4 |
| 5 | Phrygian Dominant |
| 6 | Lydian ♯2 |
| 7 | Altered Diminished |
Where the Harmonic Minor sharpens one tone, the Melodic Minor smooths the path between — in its jazz guise, the ascending form is kept both rising and falling, giving rise to some of the most prized colors in the improviser's tongue.
Five-note tongues, and the six-note blues dialects born of them — the vocabulary carried from field and chapel into every riddim, riff, and solo since.
| Scale | Formula | C-Root Example |
|---|---|---|
| Major Pentatonic | 1-2-3-5-6 | C-D-E-G-A |
| Minor Pentatonic | 1-♭3-4-5-♭7 | C-E♭-F-G-B♭ |
| Blues Pentatonic | Minor Pent + ♭5 | C-E♭-F-G♭-G-B♭ |
| Minor Blues Hexatonic | Blues Pent + ♮7 | C-E♭-F-G♭-G-B♭-B |
| Blues + Add M7 | Blues Pent + 7 | C-E♭-F-G♭-G-B♭-B |
| Suspended Pentatonic | 1-2-4-5-♭7 | C-D-F-G-B♭ |
| Dorian Pentatonic | 1-2-♭3-5-6 | C-D-E♭-G-A |
| Phrygian Pentatonic | 1-♭2-♭3-5-♭6 | C-D♭-E♭-G-A♭ |
| Mixolydian Pentatonic | 1-2-3-5-♭7 | C-D-E-G-B♭ |
| Aeolian Pentatonic | 1-♭3-4-5-♭6 | C-E♭-F-G-A♭ |
Note: "Minor Blues Hexatonic" and "Blues + Add M7" are two names for the same six added-seventh dialect — the natural 7th laid atop the Blues Pentatonic.
Eight-note scales, each a seven-note parent with a single chromatic passing-tone stitched in — a tailor's trick that lets the strong chord-tones fall neatly on the downbeats when running straight eighth-notes.
| Scale | Formula Add | C Example |
|---|---|---|
| Major Bebop | Major + ♭6 | C-D-E-F-G-G♯-A-B-C |
| Minor Bebop | Dorian + ♮3 | C-D-E♭-E-F-G-A-B♭-C |
| Dominant Bebop | Mixolydian + 7 | C-D-E-F-G-A-B♭-B-C |
| Dorian Bebop | Dorian + ♮3 | Same as Minor Bebop |
Scales built from a single repeating interval-pattern — perfectly symmetrical, and so uncannily portable that only a handful of truly distinct versions exist no matter how far you transpose them.
The furthest shelves of the Codex — scales of foreign lands, full chromatic runs, and modern names layered atop old modes.
The three-note foundation of nearly all harmony — a root, a third, and a fifth, whose quality alone decides whether a chord feels stable, soft, restless, or strange.
A fourth note stacked above the triad — the workhorse vocabulary of jazz, gospel, soul, and reggae harmony alike, where every chord earns a clearer job to do.
Ninths, elevenths, and thirteenths — the seventh chord stacked ever higher, each new tier borrowed straight from the scale, thickening the color without changing the chord's fundamental job.
Chords that trade the third for something else entirely, add a color-tone without a seventh, or bend the ninth and eleventh sharp and flat for maximum dominant tension.
Every chord above finds its purpose only in relation to a home. Here is where each diatonic triad falls in a major and a minor key, and the three great families of function every progression is built from: Tonic (rest), Predominant (motion), and Dominant (tension seeking release).
| Degree | Roman Numeral | Chord | Quality | Function |
|---|---|---|---|---|
| 1 | I | C | Major | Tonic — home, full rest. |
| 2 | ii | Dm | Minor | Predominant — sets up motion toward V. |
| 3 | iii | Em | Minor | Tonic (weak) — a softer substitute for I. |
| 4 | IV | F | Major | Predominant — the classic lead-in to V. |
| 5 | V | G | Major | Dominant — maximum pull back to I. |
| 6 | vi | Am | Minor | Tonic — the relative minor, a common alternate "home." |
| 7 | vii° | B° | Diminished | Dominant — the leading-tone chord, unstable and resolution-hungry. |
| Degree | Roman Numeral | Chord | Quality | Function |
|---|---|---|---|---|
| 1 | i | Am | Minor | Tonic — home, though less final-sounding than a major I. |
| 2 | ii° | B° | Diminished | Predominant — leads toward the dominant. |
| 3 | III | C | Major | Tonic — the relative major, a bright alternate "home." |
| 4 | iv | Dm | Minor | Predominant — the minor-key answer to IV. |
| 5 | v → V | Em → E | Minor (natural) / Major (harmonic) | Dominant — the natural-minor v is weak; raising it to V (harmonic minor's ♯7) restores a true pull to i. |
| 6 | VI | F | Major | Predominant — a common detour before the dominant. |
| 7 | VII → vii° | G → G♯° | Major (natural) / Diminished (harmonic) | Subtonic (natural) or Dominant, leading-tone (harmonic) — the ♯7 turns this into a true leading-tone chord. |
A progression's grammar, in brief: Tonic chords are where a phrase can rest; Predominant chords (ii, IV, vi in disguise, or their minor-key kin) gather momentum; Dominant chords (V, vii°, and their extended/altered forms from Parts X–XII) demand resolution back to Tonic. Nearly every riddim, hymn, and standard is some arrangement of those three motions.
The bridge between the two halves of this Codex — for every chord you might play, here is the scale (or scales) that supply its melody. The primary choice is the safest, most consonant road; the alternates are the color-tones a bolder improviser reaches for.
| Chord Type | Primary Scale | Alternate / Color Scales | Why |
|---|---|---|---|
| Maj7 (I chord) | Ionian (Part II) | Lydian (Part II) if the melody wants a raised 4th | Ionian is the chord's own parent scale; Lydian trades the perfect 4th (a mild clash against the 3rd) for the brighter ♯4. |
| Maj7♯11 (Lydian chord) | Lydian (Part II) | Major Bebop (Part VI) | The ♯11 in the chord is the scale's ♯4 — Lydian is built for this sound. |
| Dominant 7 (V chord, resolving) | Mixolydian (Part II) | Dominant Bebop (Part VI) | Mixolydian is Major with a ♭7 — exactly the dominant 7th chord's own notes, nothing more. |
| Dominant 7♯11 (static / vamping) | Lydian Dominant / Acoustic Scale (Parts IV & VIII) | Whole-Tone (Part VII) | Mixolydian's perfect 4th clashes against a ♯11; Lydian Dominant raises it to match. |
| Dominant 7♭9 / 7♯9 ("Hendrix chord") | Half-Whole Diminished (Part VII) | Phrygian Dominant (Parts III & VIII) for a Spanish/flamenco flavor | The Half-Whole scale contains both the ♭9 and ♯9 alongside the chord tones — one scale, both tensions. |
| Dominant 7alt (fully altered V7) | Altered Scale (Part IV) | Whole-Tone (Part VII) for a softer, symmetrical alternative | The Altered Scale is built specifically to supply ♭9, ♯9, ♯11, and ♭13 all at once. |
| Dominant 7♯5 / Augmented | Whole-Tone (Part VII) | Altered Scale (Part IV) | Every interval in Whole-Tone is a major 2nd — it naturally contains the raised 5th and no perfect 5th to contradict it. |
| Minor 7 (ii chord, major key) | Dorian (Part II) | Minor Bebop (Part VI) | Dorian's natural 6th is what separates a major-key ii7 from a darker Aeolian minor. |
| Minor 7 (i chord, minor-key vamp) | Aeolian / Natural Minor (Part I) | Minor Pentatonic, Dorian (Parts V & II) | Aeolian is the chord's true parent scale when it functions as a tonic rather than a ii. |
| Minor 7♭5 (iiø7, minor key) | Locrian ♮2 (2nd mode of Melodic Minor) (Part IV) | Locrian (Part II) | Straight Locrian's ♭2 often sounds harsh against this chord in a ii-V-i; the Melodic-Minor-born Locrian ♮2 softens it. |
| Diminished 7 | Whole-Half Diminished (Part VII) | — | The symmetrical octatonic scale shares the chord's own repeating minor-3rd structure exactly. |
| Minor-Major 7 (m∆7) | Melodic Minor (Part IV) | Harmonic Minor (Part III) | Melodic Minor is the source scale of this exact chord — 1-♭3-5-7 falls directly out of its first four notes. |
| Suspended 4 / 7sus4 | Mixolydian (Part II) | Suspended Pentatonic (Part V) | No 3rd in the chord means no clash to avoid — Mixolydian's ♭7 and natural 9 both sit comfortably. |
| Blues chords (I7, IV7 in a blues) | Blues Pentatonic (Part V) | Mixolydian, Minor Pentatonic (Parts II & V) | The blues idiom freely mixes major-chord harmony with a minor-flavored melodic scale — that friction is the blues sound itself. |
Rule of thumb: match the scale to the chord's function, not just its letter name. A G7 resolving to C wants Mixolydian; the same G7 vamping for eight bars with no resolution in sight can happily wear Lydian Dominant, Whole-Tone, or even Altered, depending on how far out you want to lean.
Chords in isolation are only vocabulary. Here is the grammar — the cadences that punctuate a phrase, and the workhorse progressions built from the functions laid out in Part XIII.
| Cadence | Motion | C Major Example | Effect |
|---|---|---|---|
| Authentic (Perfect) | V → I | G → C | A full stop — the strongest possible sense of arrival. |
| Authentic (Imperfect) | V → I (inverted or 3rd on top) | G/B → C | Resolved, but softer — a comma rather than a period. |
| Plagal | IV → I | F → C | The "Amen" cadence — gentler, churchly, no leading-tone pull. |
| Half | any → V | C → G / Dm → G | Ends open, mid-sentence — sets up the next phrase to answer it. |
| Deceptive | V → vi | G → Am | Promises resolution, then slips sideways — surprise, delay, longing. |
| Phrygian Half (minor key) | iv6 → V | Dm/F → E | A minor-key signature move — the ♭2-like bass step gives it a Spanish, classical-era color. |
| Progression | Roman Numerals | C Major / A Minor Example | Character & Where It Lives |
|---|---|---|---|
| The Pop Loop | I – V – vi – IV | C – G – Am – F | Endlessly reusable — countless pop, rock, and reggae hooks ride this exact four-chord loop. |
| Doo-Wop / 50s Change | I – vi – IV – V | C – Am – F – G | The oldest four-chord loop in the modern songbook — nostalgic, circular. |
| The Jazz Cadence | ii – V – I | Dm7 – G7 – Cmaj7 | The single most important three-chord cell in jazz — a Predominant-Dominant-Tonic motion in miniature. |
| Rhythm Changes (A section) | I – vi – ii – V | C – Am – Dm – G | The turnaround underneath countless jazz standards and contrafacts. |
| Blues Changes (12-bar) | I – I – I – I – IV – IV – I – I – V – IV – I – V | C7 – C7 – C7 – C7 – F7 – F7 – C7 – C7 – G7 – F7 – C7 – G7 | The twelve-bar backbone of blues, early rock & roll, and R&B. |
| Minor Blues | i – iv – i – i – iv – iv – i – i – V – iv – i – V | Am – Dm – Am – Am – Dm – Dm – Am – Am – E7 – Dm – Am – E7 | Darker cousin of the standard blues — the V is usually major even in a minor key, for a true dominant pull. |
| The Andalusian Cadence | i – ♭VII – ♭VI – V | Am – G – F – E | A descending bassline through the natural minor down to a raised dominant — flamenco, classical, and rock balladry alike. |
| Descending Minor Vamp | i – ♭VI – ♭III – ♭VII | Am – F – C – G | A moody, cyclical minor-key loop — common in rock, cinematic scoring, and minor-key riddims. |
| Backdoor Progression | ii – ♭VII7 – I | Dm7 – B♭7 – Cmaj7 | A borrowed dominant (♭VII7, from the parallel minor) resolves to I from an unexpected direction — a favorite jazz substitution for V7. |
| One-Chord Vamp | I (static) | Cm7 (held) | No motion at all — the whole groove lives in the rhythm and the melody's tension against a single chord. Common in reggae riddims and modal jazz alike. |
Every progression here is only Parts XIII's functions in motion: Tonic to rest on, Predominant to gather momentum, Dominant to demand a return. Learn the function beneath the roman numerals, and any of these loops can be transposed, reharmonized, or borrowed from freely.
Every major key, and the six chords a songwriter reaches for most within it — I through vi, plus the vii° often left off the quick-reference charts. Find your key, read the row, and every chord in Part XIII's function table falls into place at a glance.
| Key | Rel. Minor | I | ii | iii | IV | V | vi | vii° |
|---|---|---|---|---|---|---|---|---|
| C | Am | C | Dm | Em | F | G | Am | B° |
| G | Em | G | Am | Bm | C | D | Em | F♯° |
| D | Bm | D | Em | F♯m | G | A | Bm | C♯° |
| A | F♯m | A | Bm | C♯m | D | E | F♯m | G♯° |
| E | C♯m | E | F♯m | G♯m | A | B | C♯m | D♯° |
| B | G♯m | B | C♯m | D♯m | E | F♯ | G♯m | A♯° |
| F♯ (G♭) | D♯m | F♯ | G♯m | A♯m | B | C♯ | D♯m | E♯° (F°) |
| D♭ (C♯) | B♭m | D♭ | E♭m | Fm | G♭ | A♭ | B♭m | C° |
| A♭ | Fm | A♭ | B♭m | Cm | D♭ | E♭ | Fm | G° |
| E♭ | Cm | E♭ | Fm | Gm | A♭ | B♭ | Cm | D° |
| B♭ | Gm | B♭ | Cm | Dm | E♭ | F | Gm | A° |
| F | Dm | F | Gm | Am | B♭ | C | Dm | E° |
All twelve keys around the circle of fifths, F♯/G♭ standing at the far point where sharps and flats meet. Each row's Relative Minor shares every one of that key's chords — start a song in Am and you're already living inside C major's own six triads, just orbiting a different center of gravity (see Part XIII for how that center changes the function of each chord).
No entry in the Codex answers to that search, traveler.
Reading a formula is not the same as owning it in your hands. This chapter turns Part I's major scale formula into a physical count-and-cross motion — the same trick you already found for yourself — and shows exactly where your fingers land.
The numbers on the keys are the count, not your fingers — 1-2-3-4 for the first half, then 1-2-3-4 again for the second half, with the whole step in the amber-to-copper color change marking the seam between them. Same count, every one of these seven keys — only the keys under your hand change, not the count.
Your actual fingers move differently — see the table just below for real right-hand fingering, where the thumb crosses only once instead of the count restarting twice.
Every mode divides into two tetrachords and a joint — that part is guaranteed, since any 7-interval scale has a first three, a middle one, and a last three. What's special about Major, Dorian, and Phrygian isn't that they divide — it's that their two halves are identical. The other four still divide cleanly; their two halves are simply two different tetrachords stitched together, and in two cases the stitch itself is a half step instead of a whole one.
| Mode | Full Formula | Its Division | Joint | Twin Halves? |
|---|---|---|---|---|
| Ionian (Major) | W-W-H-W-W-W-H | (W-W-H) + (W-W-H) | Whole step | Yes — identical |
| Dorian | W-H-W-W-W-H-W | (W-H-W) + (W-H-W) | Whole step | Yes — identical |
| Phrygian | H-W-W-W-H-W-W | (H-W-W) + (H-W-W) | Whole step | Yes — identical |
| Mixolydian | W-W-H-W-W-H-W | (W-W-H) + (W-H-W) | Whole step | No — Major's tetrachord, then Dorian's |
| Aeolian (Nat. Minor) | W-H-W-W-H-W-W | (W-H-W) + (H-W-W) | Whole step | No — Dorian's tetrachord, then Phrygian's |
| Lydian | W-W-W-H-W-W-H | (W-W-W) + (W-W-H) | Half step | No — a whole-tone run, then Major's tetrachord |
| Locrian | H-W-W-H-W-W-W | (H-W-W) + (W-W-W) | Half step | No — Phrygian's tetrachord, then a whole-tone run |
Five of the seven modes share the exact same joint your ear already knows from Major — a plain whole step holding the two halves together. Only Lydian and Locrian break that pattern, and they break it the same way: both contain a rare three-whole-steps-in-a-row tetrachord (W-W-W) that appears nowhere else among the seven modes, and both are forced into a half-step joint to fit it in. Fittingly, those are also the two modes built around a tritone rather than a perfect 4th or 5th from the root — the oddity in the joint and the oddity in the character are the same fact seen twice.
This one isn't borrowed from the Major system — it's a different shape entirely, built and verified from scratch: Natural Minor is one small cell (whole step, then half step) played twice, starting the second time a perfect 4th above where the first one began.
The same two blue-teal cells every time, both counted "1, 2, ♭3" — that's the shape repeating. Watch the arcs: one whole-step joint after the first cell, but two whole-step arcs closing the loop after the second — the asymmetry made visible, not just described.
Pick any of the twenty-one modes already in this Codex, or type your own seven-interval formula, and check it against both rules at once: the Major system's twin tetrachords (3 + joint + 3), and your Minor system's repeating cell (2 + joint + 2, with two closing intervals left over).
| Family | Keys | Right-Hand Fingering | Feel |
|---|---|---|---|
| The Sharp Family | C, G, D, A, E, B, F♯/G♭ | 1-2-3, 1-2-3-4-5 | One thumb-cross, always after the 3rd finger. The biggest family — seven keys, one shape. |
| The Near Family | F, B♭ | 1-2-3-4, 1-2-3-4 | The cross comes one note later — after the 4th finger instead of the 3rd. |
| The Deep Flat Family | E♭, A♭ | 1-2-3-4-5, 1-2-3 | No cross until after all five fingers are used — then a short 3-note tail. |
| The Exception | D♭ | 2-3, 1-2-3-4, 1-2 | The only major scale that doesn't start on the thumb at all — begin on your 2nd finger. |
Notice the pattern across all twelve: no matter the family, your thumb crosses under exactly once per octave, and it always lands on the first available white key after a run of black keys. That's the only rule your hand actually needs — the fingerings above are just that rule applied to each key.
Every scale in this Codex descends from somewhere. Here is the lineage — which forms are true ancestors, which are children of a single alteration, and which stand entirely apart, owing nothing to the Major Scale at all.
Click any name to open its home chapter. Notice how much of the Codex is really one ancestor, altered a handful of times — the Harmonic and Melodic Minor families exist because of a single raised tone each, and even the Blues and Pentatonic tongues are the Major and Natural Minor scales with notes removed, not added. The Symmetrical family alone owes nothing to the Major Scale — a dashed line, not a branch.
Kept apart from the Canon that precedes it — scales foreign to the Western system this Codex is otherwise built on, or disputed enough in their naming and use that they earn a separate shelf rather than a numbered Part of their own.
An index in the old style — not a chapter to read start to finish, but a table to consult. Pick a note; see every chord in the Thesaurus that calls on it.