Harmony WebInteractive Chord Flowchart
⌕
Resolution
Tension
Deceptive
Modal colour
Chromatic
Tonic
Subdominant
Dominant
🎹 Play a chord…
🎓 Lessons
Choose a lesson to begin
Cadence Challenge
click chord · drag · tap bg to reset
NR:
3
Inv
Root
Oct
3
Bass
50
Strum
0ms
Human
0%
SOUND
Harmonic Function
Voice Leading
Click two chords to see movement
← Click any chord node to see details, inversions & scale positions
Playing
Inversions
Circle of Fifths
Layer Chords
MIDI Controller
Not connected
Play notes freely — hold a chord to match a node…
MIDI Output
Ch
Vel 90
Connect MIDI then select an output port
MIDI Clock
Stopped
Sends 24 MIDI clock pulses per beat at the BPM above. Set your DAW to sync to external MIDI clock on the same port.
Notation
120
—
tap a chord node
Tap a chord node to see details
Open a chord first, then switch here to see the fingering on the main keyboard above.
3
Octave
Not connected
Progression
Hit REC then tap chords…
80BPM
Tempo
Color Guide
Major Triads
Bright, stable
Minor Triads
Dark, emotional
Dominant 7ths
Tension
Diminished
Unstable
Extended 9/11/13
Jazz color
Suspended/Add
Open, floating
Augmented
Dreamlike tension
Being a Compendium & Thesaurus, Gathered & Set Down

The Codex of Scales & Chords

Wherein are recorded the Major & Minor Systems, the Seven Modes, the Harmonic & Melodic Kin, the Blues & Pentatonic Tongues, the Bebop Passing-Tones, the Symmetrical & Exotic Forms — and thereafter, the full Thesaurus of Chords: their Notes, their Names, and the Function each serves within a Key
THE CODEX
I
Part the First

Major & Minor Scales

The two pillars upon which the Western tongue of music was raised — one bright, one shadowed, both born of the same seven-letter alphabet.


Major Scale

W – W – H – W – W – W – H
C MajorC–D–E–F–G–A–B–C
The scale of open daylight; every other scale in this Codex is measured against it.

Natural Minor Scale

W – H – W – W – H – W – W
A Natural MinorA–B–C–D–E–F–G–A
Shares its notes wholly with C Major — it is that scale's sixth degree, the Aeolian mode, wearing a darker cloak.
II
Part the Second

Modes of the Major Scale

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.


ModeFormula from Major Scale DegreeC-Root Example
Ionian1st degree — Major scaleC-D-E-F-G-A-B-C
Dorian2nd degree — W-H-W-W-W-H-WD-E-F-G-A-B-C-D
Phrygian3rd degree — H-W-W-W-H-W-WE-F-G-A-B-C-D-E
Lydian4th degree — W-W-W-H-W-W-HF-G-A-B-C-D-E-F
Mixolydian5th degree — W-W-H-W-W-H-WG-A-B-C-D-E-F-G
Aeolian6th degree — Natural MinorA-B-C-D-E-F-G-A
Locrian7th degree — H-W-W-H-W-W-WB-C-D-E-F-G-A-B
III
Part the Third

Harmonic Minor System

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.


Harmonic Minor

W – H – W – W – H – WH – H
A Harmonic MinorA–B–C–D–E–F–G♯–A
Natural Minor with a raised 7th (♮7 → ♯7).

Seven modes rise from this scale in turn — the key voices among them:

№Mode
1Harmonic Minor
2Locrian ♮6
3Ionian ♯5
4Dorian ♯4
5Phrygian Dominant
6Lydian ♯2
7Altered Diminished
IV
Part the Fourth

Melodic Minor System

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.


Melodic Minor

W – H – W – W – W – W – H
C Melodic MinorC–D–E♭–F–G–A–B–C
Jazz convention: identical ascending and descending.

Altered Scale

H – W – H – W – W – W – W
B AlteredB–C–D–E♭–F–G♭–A♭–B
Also called Altered Dominant, Super Locrian, or Diminished Whole-Tone — the 7th mode of Melodic Minor. Used over altered V7 chords.

Lydian Dominant

W – W – W – H – W – H – W
C Lydian DominantC–D–E–F♯–G–A–B♭–C
The 4th mode of Melodic Minor — a Mixolydian with a raised 4th, bright yet unresolved.
V
Part the Fifth

Blues & Pentatonics

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.


ScaleFormulaC-Root Example
Major Pentatonic1-2-3-5-6C-D-E-G-A
Minor Pentatonic1-♭3-4-5-♭7C-E♭-F-G-B♭
Blues PentatonicMinor Pent + ♭5C-E♭-F-G♭-G-B♭
Minor Blues HexatonicBlues Pent + ♮7C-E♭-F-G♭-G-B♭-B
Blues + Add M7Blues Pent + 7C-E♭-F-G♭-G-B♭-B
Suspended Pentatonic1-2-4-5-♭7C-D-F-G-B♭
Dorian Pentatonic1-2-♭3-5-6C-D-E♭-G-A
Phrygian Pentatonic1-♭2-♭3-5-♭6C-D♭-E♭-G-A♭
Mixolydian Pentatonic1-2-3-5-♭7C-D-E-G-B♭
Aeolian Pentatonic1-♭3-4-5-♭6C-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.

VI
Part the Sixth

Bebop Scales

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.


ScaleFormula AddC Example
Major BebopMajor + ♭6C-D-E-F-G-G♯-A-B-C
Minor BebopDorian + ♮3C-D-E♭-E-F-G-A-B♭-C
Dominant BebopMixolydian + 7C-D-E-F-G-A-B♭-B-C
Dorian BebopDorian + ♮3Same as Minor Bebop
VII
Part the Seventh

Symmetrical & Advanced Scales

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.


Whole-Tone Scale

W – W – W – W – W – W
C Whole-ToneC–D–E–F♯–G♯–A♯–C
Only two unique whole-tone scales exist: the C-collection and the C♯-collection — every other root duplicates one of these two.

Whole-Half Diminished

W – H – W – H – W – H – W – H
C Whole-HalfC–D–E♭–F–G♭–A♭–A–B–C
Also called the Symmetrical Diminished scale.

Half-Whole Diminished

H – W – H – W – H – W – H – W
C Half-WholeC–D♭–E♭–E–F♯–G–A–B♭–C
Also called the Dominant Diminished scale — favored over dominant seventh chords.
VIII
Part the Eighth

Modern, Chromatic & Exotic Scales

The furthest shelves of the Codex — scales of foreign lands, full chromatic runs, and modern names layered atop old modes.


Spanish Mode (Phrygian Dominant)

1-♭2-3-4-5-♭6-♭7
C SpanishC-D♭-E-F-G-A♭-B♭-C
The 5th mode of Harmonic Minor by another name — flamenco's signature color.

Chromatic Scale

All 12 half-steps
C ChromaticC-C♯-D-D♯-E-F-F♯-G-G♯-A-A♯-B-C
Every pitch in the octave — the well from which all other scales are drawn.

Chromatic Harmonic

Chromatic, harmonic-minor flavored
NotesNo fixed set — varies by use
Not a fixed scale but a chromatic passage colored toward the Harmonic Minor's raised 7th; construction varies by composer and context.

Acoustic Scale (Lydian Dominant)

1-2-3-♯4-5-6-♭7
C AcousticC-D-E-F♯-G-A-B♭-C
The overtone series rendered as a scale — same notes as Lydian Dominant, from Part IV.

Bartók Scale

Same as Acoustic / Lydian Dominant
C BartókC-D-E-F♯-G-A-B♭-C
Named for the composer who favored its bright-yet-unresolved color in his own harmonic language.
IX
Part the Ninth

Triads

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.


X
Part the Tenth

Seventh Chords

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.


XI
Part the Eleventh

Extended Chords

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.


XII
Part the Twelfth

Suspended, Added & Altered Chords

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.


XIII
Part the Thirteenth, and Last

Chord Function Within a Key

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).


In a Major Key — C Major shown

DegreeRoman NumeralChordQualityFunction
1ICMajorTonic — home, full rest.
2iiDmMinorPredominant — sets up motion toward V.
3iiiEmMinorTonic (weak) — a softer substitute for I.
4IVFMajorPredominant — the classic lead-in to V.
5VGMajorDominant — maximum pull back to I.
6viAmMinorTonic — the relative minor, a common alternate "home."
7vii°B°DiminishedDominant — the leading-tone chord, unstable and resolution-hungry.

In a Minor Key — A Minor shown, natural & harmonic forms

DegreeRoman NumeralChordQualityFunction
1iAmMinorTonic — home, though less final-sounding than a major I.
2ii°B°DiminishedPredominant — leads toward the dominant.
3IIICMajorTonic — the relative major, a bright alternate "home."
4ivDmMinorPredominant — the minor-key answer to IV.
5v → VEm → EMinor (natural) / Major (harmonic)Dominant — the natural-minor v is weak; raising it to V (harmonic minor's ♯7) restores a true pull to i.
6VIFMajorPredominant — a common detour before the dominant.
7VII → 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.

XIV
Part the Fourteenth

Chord-Scale Relationships

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 TypePrimary ScaleAlternate / Color ScalesWhy
Maj7 (I chord)Ionian (Part II)Lydian (Part II) if the melody wants a raised 4thIonian 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 flavorThe 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 alternativeThe Altered Scale is built specifically to supply ♭9, ♯9, ♯11, and ♭13 all at once.
Dominant 7♯5 / AugmentedWhole-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 7Whole-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 / 7sus4Mixolydian (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.

XV
Part the Fifteenth, and Last

Progressions & Cadences

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.


Cadences — the punctuation marks of a phrase

CadenceMotionC Major ExampleEffect
Authentic (Perfect)V → IG → CA full stop — the strongest possible sense of arrival.
Authentic (Imperfect)V → I (inverted or 3rd on top)G/B → CResolved, but softer — a comma rather than a period.
PlagalIV → IF → CThe "Amen" cadence — gentler, churchly, no leading-tone pull.
Halfany → VC → G / Dm → GEnds open, mid-sentence — sets up the next phrase to answer it.
DeceptiveV → viG → AmPromises resolution, then slips sideways — surprise, delay, longing.
Phrygian Half (minor key)iv6 → VDm/F → EA minor-key signature move — the ♭2-like bass step gives it a Spanish, classical-era color.

The Progression Dictionary — roman numerals with real-key examples

ProgressionRoman NumeralsC Major / A Minor ExampleCharacter & Where It Lives
The Pop LoopI – V – vi – IVC – G – Am – FEndlessly reusable — countless pop, rock, and reggae hooks ride this exact four-chord loop.
Doo-Wop / 50s ChangeI – vi – IV – VC – Am – F – GThe oldest four-chord loop in the modern songbook — nostalgic, circular.
The Jazz Cadenceii – V – IDm7 – G7 – Cmaj7The single most important three-chord cell in jazz — a Predominant-Dominant-Tonic motion in miniature.
Rhythm Changes (A section)I – vi – ii – VC – Am – Dm – GThe turnaround underneath countless jazz standards and contrafacts.
Blues Changes (12-bar)I – I – I – I – IV – IV – I – I – V – IV – I – VC7 – C7 – C7 – C7 – F7 – F7 – C7 – C7 – G7 – F7 – C7 – G7The twelve-bar backbone of blues, early rock & roll, and R&B.
Minor Bluesi – iv – i – i – iv – iv – i – i – V – iv – i – VAm – Dm – Am – Am – Dm – Dm – Am – Am – E7 – Dm – Am – E7Darker cousin of the standard blues — the V is usually major even in a minor key, for a true dominant pull.
The Andalusian Cadencei – ♭VII – ♭VI – VAm – G – F – EA descending bassline through the natural minor down to a raised dominant — flamenco, classical, and rock balladry alike.
Descending Minor Vampi – ♭VI – ♭III – ♭VIIAm – F – C – GA moody, cyclical minor-key loop — common in rock, cinematic scoring, and minor-key riddims.
Backdoor Progressionii – ♭VII7 – IDm7 – B♭7 – Cmaj7A borrowed dominant (♭VII7, from the parallel minor) resolves to I from an unexpected direction — a favorite jazz substitution for V7.
One-Chord VampI (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.

XVI
Part the Sixteenth, and Final

The Key Chart

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.


KeyRel. MinorIiiiiiIVVvivii°
CAmCDmEmFGAmB°
GEmGAmBmCDEmF♯°
DBmDEmF♯mGABmC♯°
AF♯mABmC♯mDEF♯mG♯°
EC♯mEF♯mG♯mABC♯mD♯°
BG♯mBC♯mD♯mEF♯G♯mA♯°
F♯ (G♭)D♯mF♯G♯mA♯mBC♯D♯mE♯° (F°)
D♭ (C♯)B♭mD♭E♭mFmG♭A♭B♭mC°
A♭FmA♭B♭mCmD♭E♭FmG°
E♭CmE♭FmGmA♭B♭CmD°
B♭GmB♭CmDmE♭FGmA°
FDmFGmAmB♭CDmE°

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.

XVII
Part the Seventeenth, and Truly Last

The Practice Method — Hand Movement for Piano

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 Tetrachord Trick — why counting "1, 2, 3, 4" twice works on every major scale

The Scale, Split in Half

(W–W–H) + W + (W–W–H)
Every major scale is really just one four-note shape, played twice, with a single whole-step joint in the middle. In C: C-D-E-F is the first shape (whole, whole, half). G-A-B-C is the exact same shape (whole, whole, half), just started five notes higher. The F-to-G in between is the only whole step joining the two halves.
Your own count — "1, 2, 3, 4, then from the 5: 1, 2, 3, 4" — is this exact structure. You're not naming the half-step separately; it's simply tucked inside the count, falling between count 3 and count 4 in each half (C-D-E are counts 1-2-3, all whole steps, then E-to-F — count 4 — is the half step that closes the shape). The only moment that gets no number at all is the single whole step joining count 4 of the first half to count 1 of the second — F-to-G. Two identical four-note counts, one silent joint between them.
Try it out loud on any major key: "1, 2, 3, 4 — (joint) — 1, 2, 3, 4." You'll land on the octave exactly on schedule, every time, in every key — and the diagram below colors the two counts differently so you can see the split as well as feel it.

Feel It — One Octave, C Major

Same hand shape, seven keys:
Press play — thumb starts on the root.

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.

Does the Same Split Work on Other Modes?

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.

ModeFull FormulaIts DivisionJointTwin Halves?
Ionian (Major)W-W-H-W-W-W-H(W-W-H) + (W-W-H)Whole stepYes — identical
DorianW-H-W-W-W-H-W(W-H-W) + (W-H-W)Whole stepYes — identical
PhrygianH-W-W-W-H-W-W(H-W-W) + (H-W-W)Whole stepYes — identical
MixolydianW-W-H-W-W-H-W(W-W-H) + (W-H-W)Whole stepNo — Major's tetrachord, then Dorian's
Aeolian (Nat. Minor)W-H-W-W-H-W-W(W-H-W) + (H-W-W)Whole stepNo — Dorian's tetrachord, then Phrygian's
LydianW-W-W-H-W-W-H(W-W-W) + (W-W-H)Half stepNo — a whole-tone run, then Major's tetrachord
LocrianH-W-W-H-W-W-W(H-W-W) + (W-W-W)Half stepNo — 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.

C Ionian (Major), Split in Half

(W–W–H) + W + (W–W–H)
C IonianC–D–E–F–G–A–B–C
The original: "1, 2, 3, 4 — (joint) — 1, 2, 3, 4." The half-step falls between count 3 and 4 (E-to-F), the joint at F-to-G is the whole step, and the second half repeats the first note for note.

C Dorian, Split in Half

(W–H–W) + W + (W–H–W)
C DorianC–D–E♭–F–G–A–B♭–C
Count it the same way: "1, 2, 3, 4 — (joint) — 1, 2, 3, 4." The half-step falls between count 2 and 3 (D-to-E♭) instead of 3 and 4, but the shape of the count and the whole-step joint at F-to-G match Major exactly.

C Phrygian, Split in Half

(H–W–W) + W + (H–W–W)
C PhrygianC–D♭–E♭–F–G–A♭–B♭–C
The half-step sits right at the front of each count — between count 1 and 2. Say it the same way: "1, 2, 3, 4 — (joint) — 1, 2, 3, 4" — the joint at F-to-G still holds.

The Minor-Scale Trick — one 3-note cell, stacked twice, a 4th apart

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.

Natural Minor, Split by Cell

(W–H) + W + (W–H) + W + W
C Natural MinorC–D–E♭–F–G–A♭–B♭–C
The cell is just three notes — 1, 2, ♭3 — whole step then half step. C-D-E♭ is the cell. F-G-A♭ is the exact same cell, restarted a 4th higher. Count it: "1, 2, ♭3, whole-step, restart on the 4: 1, 2, ♭3, whole-step, whole-step."
The asymmetry is the real finding here. Getting from the first cell into the second only takes one whole step (E♭-to-F). But closing the loop back to the octave after the second cell takes two whole steps (A♭-to-B♭, then B♭-to-C) — one hand-off, one longer walk home. That's a genuinely different shape from Major's system, where the same single whole-step joint does the job both times.
Full sequence, cell by cell: W-H-W-W-H-W-W — matches the Natural Minor formula in Part I exactly, just heard as one small idea repeated rather than seven separate letters.

Feel It — Two Cells, C Minor

Same cell, seven minor keys:
Press play — the cell starts on the root.

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.

The Split Calculator — test any scale against both systems

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).

Right-Hand Fingering — Three Families, and One Exception

FamilyKeysRight-Hand FingeringFeel
The Sharp FamilyC, G, D, A, E, B, F♯/G♭1-2-3, 1-2-3-4-5One thumb-cross, always after the 3rd finger. The biggest family — seven keys, one shape.
The Near FamilyF, B♭1-2-3-4, 1-2-3-4The cross comes one note later — after the 4th finger instead of the 3rd.
The Deep Flat FamilyE♭, A♭1-2-3-4-5, 1-2-3No cross until after all five fingers are used — then a short 3-note tail.
The ExceptionD♭2-3, 1-2-3-4, 1-2The 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.

The Left Hand — once the right hand is automatic

Sharp Family, Left Hand

5-4-3-2-1, 3-2-1
For C, G, D, A, E, B, and F♯, the left hand crosses over the thumb rather than under it — the mirror image of the right hand's motion. Practice each hand alone until it's automatic before attempting hands together.

The Drill

1. Say the count out loud while you play: "one-two-three-CROSS-one-two-three-four-five." The word "cross" should land exactly on the thumb-under, not before or after it.

2. Reverse it coming down: "five-four-three-two-one-CROSS-three-two-one."

3. Start in C, at a slow tempo you can say the count at without rushing. Once it's smooth, move to G — the count and the motion stay identical, only the black key under finger 3 changes.

4. Work through the whole Sharp Family (C, G, D, A, E, B, F♯) before touching F, B♭, E♭, A♭, or D♭ — you're reinforcing one shape seven times before your hand has to learn a second one.

5. Once the Sharp Family is automatic, the Near Family (F, B♭) is only a one-note delay on the same idea. Save D♭ for last — it's the one true exception, worth learning on its own rather than trying to make it fit a shape it doesn't share.
XVIII
Part the Eighteenth

The Genealogy

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.


MAJOR SCALE the common ancestor

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.

XIX
Part the Nineteenth

The Apocrypha

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.


Hirajoshi Scale

1-2-♭3-5-♭6
C HirajoshiC–D–E♭–G–A♭
A Japanese pentatonic built for koto music — its two half-step clusters give it a sound no Western pentatonic shares.

Hungarian Minor

1-2-♭3-♯4-5-♭6-7
C Hungarian MinorC–D–E♭–F♯–G–A♭–B
Harmonic Minor with a raised 4th added — two augmented-second gaps in one scale, prized in Eastern European folk and gypsy jazz.

Neapolitan Minor

1-♭2-♭3-4-5-♭6-7
C Neapolitan MinorC–D♭–E♭–F–G–A♭–B
Harmonic Minor with a lowered 2nd — an 18th-century classical color, rare enough to sit outside the main Harmonic Minor family tree.

Neapolitan Major

1-♭2-♭3-4-5-6-7
C Neapolitan MajorC–D♭–E♭–F–G–A–B
The Melodic Minor's cousin, with a lowered 2nd in place — bright and unsettled at once.

Enigmatic Scale

1-♭2-3-♯4-♯5-♯6-7
C EnigmaticC–D♭–E–F♯–G♯–A♯–B
Attributed to Verdi — deliberately strange, with no clean tetrachord logic like the Canon's scales. Disputed as a "real" scale by some theorists to this day.

Quarter-Tone Inflection

Not fixed — pitches between the twelve
NotesVaries by tradition (Arabic maqam, Turkish makam)
Outside the twelve-tone grid this entire Codex is drawn on. Included here only as a marker that the well runs deeper than the Chromatic Scale in Part VIII — not transcribed, since it cannot be honestly rendered in the notation this book uses.
XX
Part the Twentieth, and Final

The Concordance

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.


Cover Page
♪Compiled & illuminated for Damian Dru — Mazzaroth Prime