Functions and rules
How to write a chord's function in a chart, the scale every function gets in any key, and the rules the app follows to choose a scale. If you think a scale is wrong, the last section says how to tell me.
Writing a function
A chart row may end with the chord's function, after the scale: 5 | A7 | | V7/ii. Leave the scale cell blank and the scale follows the function, at the level the sheet is set to; a scale written in the cell is played as written instead. The function is read as:
[Key:] [(] [sub] [♭|♯] NUMERAL [quality] [/ [♭|♯] NUMERAL] [)]- The numeral counts from the row's key area, or from the key before a colon:
Eb: V7/ii. - Case follows the chord family: upper case for major, dominant and sus; lower case for minor, half-diminished and diminished. The editor corrects the case, but rejects a major quality on a lower-case numeral.
sub(a tritone substitute) goes only on a dominant:subV7,subV7/ii.- After the slash comes the chord it leads to, as a degree of the key:
V7/ii,iiø7/vi,♯iv°7/V. - Degrees count from the tonic as in a major key, in minor keys too:
♭IIIin C minor is E♭. (V7/ii): a dominant that doesn’t resolve as expected; the scale is the same. The sheet prints the parentheses.- Berklee spellings read too:
II-7,VII-7(♭5),V7(sus4),SubV7/ii,I∆7(Δ or ∆),B♭: V7/ii.
Qualities
| Family | Written on the sheet | Accepted spellings |
|---|---|---|
| major | 6 | 6 |
| major | nothing (a triad) | nothing |
| major | maj7 | maj7Maj7M7maj |
| major | maj7♯5 | maj7#5 |
| major | + | +aug |
| dominant | 7 | 7 |
| minor | 6 | 6m6-6 |
| minor | 7 | 7m7-7 |
| minor | nothing (a triad) | nothingm- |
| minor | (maj7) | (maj7)mMaj7-(maj7)-Maj7 |
| half-diminished | ø7 | ø7øm7b5m7(b5)-7b5-7(b5) |
| diminished | °7 | o7odim7 |
| sus | 7sus4 | 7sus47(sus4)7sussus4sus |
When a function won't read
| Written | The editor says | Meaning |
|---|---|---|
H: V7 | "H" isn't a key (Eb, Cm) | The text before the colon has to be a key. |
V7/x | "V7/x" isn't a function (V7/ii, subV7, ii7/V, ♭VII7, IVmaj7) | It doesn’t follow the pattern above. |
subii7 | sub only goes on a dominant (subV7) | A tritone substitute is a dominant: subV7, subV7/ii. |
iimaj7 | iimaj7: a major quality on a lower-case numeral | A lower-case numeral is a minor-family chord; a major chord takes an upper-case one (IImaj7). |
A function settles the numeral and the key the rules reason in. It doesn't change the chord: the chord symbol, its labels and the practice presets still read the chord as written. With the scale cell blank, the function decides the scale; on a dominant the rules still choose the tensions from the key, so a function is usually better than picking the scale yourself: transpose the chart, or change the level, and the scale still fits.
Functions and their scales
Each row is a one-chord chart run through the same analysis the sheets use: the chord the function puts in the key, the scale the rules give it, the rule that decided and why. Where the rules can only guess, the rule is marked (guess), and the note on the sheet says “a guess — an @key or a function would settle it”. In a real chart the chords around a chord can settle what one chord on its own leaves open.
Diatonic
| Function | Chord | Scale | Rule | Why |
|---|---|---|---|---|
| Imaj7 | CMaj7 | C Ionian | M3 | tonic: the 4th is in the key |
| ii7 | Dm7 | D Dorian | m4 | ii of the ii–V to C |
| iii7 | Em7 | E Phrygian | m9 | iii: Phrygian, the key's own notes (the ♭2 is a passing note) |
| IVmaj7 | FMaj7 | F Lydian | M4 | IV: the ♯4 is the key’s 7th |
| V7 | G7 | G Mixolydian | D4 | V7 of C: natural tensions |
| vi7 | Am7 | A Aeolian | m7 | vi: Aeolian, the key's own notes (the ♭6 is a passing note) |
| viiø7 | Bm7♭5 | B Locrian | h2 (guess) | viiø7 in C: Locrian, the key's own notes (its ♭2 is a passing note) |
Secondary
| Function | Chord | Scale | Rule | Why |
|---|---|---|---|---|
| V7/ii | A7 | A Mixolydian ♭6 | D4 | V7/ii in C: the ♭13 is in the key |
| iiø7/ii | Em7♭5 | E Locrian | h2 | iiø7 of D minor: Locrian, the key's own notes (its ♭2 is a passing note) |
| V7/iii | B7 | B Phrygian Dominant | D4 | V7/iii in C: ♭9 and ♭13 are in the key |
| iiø7/iii | F♯m7♭5 | F♯ Locrian | h2 | iiø7 of E minor: Locrian, the key's own notes (its ♭2 is a passing note) |
| V7/IV | C7 | C Mixolydian | D4 | V7/IV in C: natural tensions |
| ii7/IV | Gm7 | G Dorian | m4 | ii of the ii–V to F |
| V7/V | D7 | D Mixolydian | D4 | V7/V in C: natural tensions |
| ii7/V | Am7 | A Dorian | m4 | ii of the ii–V to G |
| V7/vi | E7 | E Phrygian Dominant | D4 | V7/vi in C: ♭9 and ♭13 are in the key |
| iiø7/vi | Bm7♭5 | B Locrian | h2 | iiø7 of A minor: Locrian, the key's own notes (its ♭2 is a passing note) |
Substitutes and borrowings
| Function | Chord | Scale | Rule | Why |
|---|---|---|---|---|
| subV7 | D♭7 | D♭ Lydian Dominant | D2 | tritone substitute: resolves down a half step to C |
| subV7/ii | E♭7 | E♭ Lydian Dominant | D2 | tritone substitute: resolves down a half step to Dm |
| subV7/iii | F7 | F Lydian Dominant | D2 | tritone substitute: resolves down a half step to Em |
| subV7/IV | G♭7 | G♭ Lydian Dominant | D2 | tritone substitute: resolves down a half step to F |
| subV7/V | A♭7 | A♭ Lydian Dominant | D2 | tritone substitute: resolves down a half step to G |
| subV7/vi | B♭7 | B♭ Lydian Dominant | D2 | tritone substitute: resolves down a half step to Am |
| ♭VII7 | B♭7 | B♭ Lydian Dominant | D5 | back door ♭VII7 to C: the ♯11 is in the key |
| ♭VImaj7 | A♭Maj7 | A♭ Lydian | M4 | ♭VImaj7, borrowed from C minor: Lydian (its ♯11 is in the key) |
| ♭IIImaj7 | E♭Maj7 | E♭ Lydian | M4 | ♭IIImaj7, borrowed from C minor: Lydian (its ♯11 is in the key) |
| ♭IImaj7 | D♭Maj7 | D♭ Lydian | M4 | ♭IImaj7, borrowed from C Phrygian: Lydian (its ♯11 is in the key) |
| IV7 | F7 | F Lydian Dominant | D5 (guess) | IV7 in C, not resolving: the ♯11 is in the key |
| I7 | C7 | C Mixolydian | D5 (guess) | I7 in C, not resolving: natural tensions |
| ♯iv°7 | F♯dim7 | F♯ Whole-Half Diminished | d1 | auxiliary diminished: it decorates the chord and returns to it; not functioning diatonically: the symmetric scale |
| vii°7/ii | C♯dim7 | C♯ Diatonic Diminished | d1 | vii°7 of Dm: A7♭9 without its root |
| vii°7/iii | D♯dim7 | D♯ Diatonic Diminished | d1 | vii°7 of Em: B7♭9 without its root |
| vii°7/IV | Edim7 | E Diatonic Diminished | d1 | vii°7 of F: C7♭9 without its root |
| vii°7/V | F♯dim7 | F♯ Diatonic Diminished | d1 | vii°7 of G: D7♭9 without its root |
| vii°7/vi | G♯dim7 | G♯ Diatonic Diminished | d1 | vii°7 of Am: E7♭9 without its root |
| V7sus4 | G7sus4 | G Mixolydian | s2 | V7sus4 resolving down a fifth: Mixolydian, the 4th is a chord tone here |
Chromatic
| Function | Chord | Scale | Rule | Why |
|---|---|---|---|---|
| ♭vi7 | A♭m7 | A♭ Dorian | m8 (guess) | a borrowed minor chord: Dorian, its own key |
| ♯ivø7 | F♯m7♭5 | F♯ Locrian | h2 (guess) | ♯ivø7 in C: Locrian, its own mode (the chord is outside the key) |
| ♭iii°7 | E♭dim7 | E♭ Diatonic Diminished ♭III | d1 (guess) | passing diminished: a rootless dominant ♭9 |
| II7 | D7 | D Mixolydian | D5 (guess) | II7 in C, not resolving: natural tensions |
| ♯IV7 | F♯7 | F♯ Lydian Dominant | D6 (guess) | a chromatic dominant with nowhere to go: Lydian Dominant, its own key |
How the engine chooses a scale
Each chord family has its own rules, tried in the order listed below; the first that applies decides. They are grouped here by what they look at, from the chord symbol alone to the chords around it.
The chord symbol alone
| Rule | Family | Scale | Looks at | What it does |
|---|---|---|---|---|
| D1 | dominant | from the symbol (Altered for alt) | the tensions written in the symbol | An alt dominant is Altered; written tensions (♭9, ♯9, ♯11, ♭13) override any other rule’s, shown as D1+ before that rule when they change its scale. |
| M1 | major | Lydian | a ♯11 in the symbol | A maj7♯11, or a triad with a ♯11 (B♭(♯11)), is Lydian. |
| M2 | major | Lydian Augmented | a ♯5 in the symbol | A maj7♯5 is Lydian Augmented; an augmented triad, Whole Tone. |
| m1 | minor | Melodic Minor | a major 7th in the symbol | A minor-major 7th is Melodic Minor. |
| m3 | minor | Aeolian | a ♭6 or ♭13 in the symbol | A minor chord with a written ♭6 or ♭13 is Aeolian. |
| s1 | sus | Phrygian | a ♭9 in the symbol | A sus ♭9 is Phrygian. |
The chart’s mode
| Rule | Family | Scale | Looks at | What it does |
|---|---|---|---|---|
| M5 | major | Lydian | a modal chart | A major chord in a modal chart is Lydian. |
| M6 | major | Mixolydian | a blues: a major triad or 6 chord on I, IV or V | In a blues a triad on I, IV or V implies its ♭7: Mixolydian (a maj7 says otherwise, and keeps the major rules); at Basic, the key’s Blues scale. |
| m6 | minor | Dorian | a modal chart | A minor chord in a modal chart is Dorian. |
| m10 | minor | Dorian | a minor blues: the i or iv (triad, m7 or m6) | In a minor blues the i and iv are Dorian; at Basic, the key’s Blues scale. |
| s4 | sus | Mixolydian | a blues: a sus chord on I, IV or V | In a blues a sus chord on I, IV or V is Mixolydian; at Basic, the key’s Blues scale. |
The chord’s degree in its key
| Rule | Family | Scale | Looks at | What it does |
|---|---|---|---|---|
| D7 | dominant | Mixolydian | a modal chart, or a dominant that resolves nowhere and is held four bars or more | A static or modal dominant is its own mode: Mixolydian. |
| D5 | dominant | derived from the key | its degree: the back door, or a diatonic dominant | A dominant a whole step below a major chord (the back door, ♭VII7), or a diatonic dominant that does not resolve, takes its tensions from the key. A guess when: a diatonic dominant that does not resolve. |
| D9 | dominant | Mixolydian | a blues: its degree, the I7, IV7 or V7 (before the chords around it), and for the V7 the chord before it | In a blues the I7 (a tonic with dominant color), the IV7 and the V7 are Mixolydian, unless a ii before the V7 makes it a ii–V; at Basic they play the key’s Blues scale. A minor blues’ V7 keeps the minor key’s rules. |
| M3 | major | Ionian (Mixolydian for a V triad) | its degree: the tonic, ♭III or ♭VII in a minor key, a V triad, or IV after its own dominant | The tonic major chord (or ♭III, the relative major, in a minor key) is Ionian; so is ♭VII of a minor key, the notes of the tonic’s Dorian, and a IV reached by its own dominant (V7/IV, or subV7/IV a half step above), the key of the moment; a V triad without its 7th is Mixolydian. |
| M4 | major | Lydian | its degree: any other major chord | Any other major chord is Lydian (♭VI of a minor key among them; on a IV not reached by its own dominant, the ♯4 is the key’s 7th; on ♭II, ♭III, ♭VI or ♭VII of a major key, borrowed by modal interchange, its ♯11 is in the key). |
| m2 | minor | Melodic Minor or Dorian | a 6 in the symbol, and its degree: the tonic of a minor key | A minor sixth chord on the tonic of a minor key is Melodic Minor, the raised 7th a tension; any other (iv6, ii6, or any in a modal chart) is Dorian. |
| m5 | minor | Dorian | its degree: the tonic of a minor key | The tonic minor chord of a minor key is Dorian, by convention. |
| m9 | minor | Phrygian | its degree: iii in a major key, also as the ii of the next dominant | iii in a major key is Phrygian, the key’s own notes (the ♭2 is a passing note); Dorian at Advanced. |
| m7 | minor | Dorian, Aeolian or Phrygian | its degree: another diatonic minor chord | A diatonic minor chord takes the key’s own notes: vi of a major key Aeolian, v of a minor key Phrygian, any other Dorian. |
The chords around it
| Rule | Family | Scale | Looks at | What it does |
|---|---|---|---|---|
| D2 | dominant | Lydian Dominant | the next chord, a half step down (not a ø7 or °7) | A tritone substitute resolves down a half step: Lydian Dominant. |
| D8 | dominant | derived from the minor key | a chain of dominants that ends on a minor chord, or its last link | An extended dominant on its way into a minor key, or the last link of the chain, takes its tensions from that key. A link into the key’s own V7 is V7/V, the links before it arrows. |
| D3 | dominant | Mixolydian | the next chord, another dominant a fifth down | An extended dominant (V7 of another V7) keeps natural tensions: Mixolydian (a blues I7 before its IV7 is not one: D9). A link into the key’s own V7 is V7/V (the dominant of the dominant), the links before it arrows; a chain that never reaches the key’s V7 keeps each chord’s own degree. |
| D4 | dominant | derived from the key | the chord it resolves to, a fifth down; the major or minor chord before it that it is the V of; or the ii before it | A resolving dominant takes each tension (9, 11, 13) in the form the key holds. |
| D6 | dominant | Lydian Dominant | a non-diatonic dominant with nowhere to go | A non-diatonic dominant that does not resolve is Lydian Dominant: in a major key, ♭VII7, ♭VI7 or ♭III7 borrowed from the parallel minor; any other, a chromatic dominant in its own key. A guess when: a chromatic dominant (not ♭VII7, ♭VI7 or ♭III7 in a major key). |
| m4 | minor | Dorian | the next chord, a dominant a fourth up | The ii of a ii–V is Dorian (a diatonic iii keeps its Phrygian, m9). |
| h2 | half-diminished | Locrian | the next chord, a dominant a fourth up | A half-diminished chord is Locrian (Locrian ♮2 at Advanced), in a modal chart too; with a dominant after it, it is the iiø7 of that minor ii–V; without one, iiø7 in a major key is borrowed from the parallel minor. A guess when: no related dominant follows (but iiø7 in a major key). |
| d1 | diminished | Diatonic Diminished, or Whole-Half Diminished | the next chord (its root or bass), and its degree in the key | A diminished seventh chord takes the diatonic diminished scale of its function: a vii°7 leading up a half step (to the next chord’s root or bass: ♯II°7 to I/3), the V7♭9♯9♭13 of the chord it leads to, from its own root; in a major key, ♯IV°7 to I (over its 5th or not), the ♯II°7’s notes; a passing ♭III°7 or ♭VI°7 or an auxiliary I°7 or V°7 (one that returns to a chord on its own root), its chord tones plus the key’s notes. Any other is not functioning diatonically: Whole-Half Diminished, the symmetric scale. Whole-Half at Basic and Advanced. A guess when: a passing diminished chord. |
| s2 | sus | Mixolydian or Mixolydian ♭6 | the next chord, a fifth down (in a chart that is not modal, held under four bars) | A resolving sus takes its 13 from the key: Mixolydian, or Mixolydian ♭6 when the key holds the ♭13. |
| s3 | sus | Mixolydian | no resolution: a modal chart, a sus held four bars or more, or none that falls a fifth; or, outside a modal chart, the dominant on its own root next | A static sus is Mixolydian; so is a sus before its dominant on the same root, a subdominant suspension (its 4th a chord tone). |
A guess
| Rule | Family | Scale | Looks at | What it does |
|---|---|---|---|---|
| m8 | minor | Dorian | a minor chord the key does not hold | A borrowed or chromatic minor chord is Dorian, its own key; iv in a major key is the minor iv, borrowed from the parallel minor. A guess when: always (but iv in a major key). |
The order each family tries
- major: M1 → M2 → M5 → M6 → M3 → M4
- dominant: D1 → D7 → D2 → D8 → D3 → D4 → D5 → D9 → D6
- minor: m1 → m2 → m3 → m6 → m10 → m4 → m5 → m9 → m7 → m8
- half-diminished: h2
- diminished: d1
- sus: s1 → s4 → s2 → s3
Dominants
A dominant's scale is named by three tension slots: the 9th (9, ♭9, or ♭9 and ♯9 together), the 11th (11 or ♯11) and the 13th (13 or ♭13). A rule that derives them (D4, D5, D8) reads each slot from the key's own scale: major in a major key, natural minor in a minor key, harmonic minor for the minor key's own V7. It takes the altered form only when the key holds it and not the natural one. Tensions written in the symbol (G7b9, 7#11, alt) fill their slots over the rule's, and the rule id says so: G7b9 going to C in C major is D1+D4, G Half-Whole Diminished. The slots name the scale:
| 9th | 11th | 13th | Scale |
|---|---|---|---|
| 9 | 11 | 13 | Mixolydian |
| 9 | 11 | ♭13 | Mixolydian ♭6 |
| 9 | ♯11 | 13 | Lydian Dominant |
| 9 | ♯11 | ♭13 | Whole Tone |
| ♭9 | 11 | 13 | Half-Whole Diminished |
| ♭9 | 11 | ♭13 | Phrygian Dominant |
| ♭9 | ♯11 | 13 | Half-Whole Diminished |
| ♭9 | ♯11 | ♭13 | Altered |
| ♭9 ♯9 | 11 | 13 | Spanish Phrygian |
| ♭9 ♯9 | 11 | ♭13 | Spanish Phrygian |
| ♭9 ♯9 | ♯11 | 13 | Half-Whole Diminished |
| ♭9 ♯9 | ♯11 | ♭13 | Altered |
Reporting a disagreement
The rules are a starting point, and a tune can know better. If a scale looks wrong to you, send:
- the chart row: the chord, its function and its key area;
- the scale shown;
- the rule id;
- the scale you expected, and why: a melody note, a recording, a book.
On the Changes sheet, click a chord's numeral or scale to see why it was chosen; Report issue in that note copies exactly this: the chord's bar, and a link to the chart unless it's a library chart you haven't edited. Paste it into the contact form or a new GitHub issue, and fill in what you expected.