Chord & FretMusical scales: a complete guide to modes, formulas and applications
Scales aren't just sequences to run up and down the neck. They organize pitches around a center, set the relationships between degrees, imply chords and create tension. The same collection of notes can take on different functions depending on which note is the center and which chords sound — which is why C major, D Dorian and G Mixolydian use the same notes yet behave differently.
Formulas use the major scale as the reference: b lowers and # raises a degree. A degree formula transposes to any tonic — the note names below are only one example. Functional spelling (#5 vs b6) marks the tension even when the sound is enharmonically the same.
See also: Chord types — the chord types each scale implies.
Scale, mode, collection and shape aren't the same thing
Collection
The abstract set of available pitches. C major, D Dorian and G Mixolydian share the collection C–D–E–F–G–A–B.
Scale
That collection organized around a tonic and an order.
Mode
A specific organization of the collection, with its own center, characteristic degrees and harmonic behavior.
Shape
Only a projection of the scale onto the neck. A shape is not the whole scale — it is one way to find it. Memorizing five pentatonic diagrams is not the same as understanding the scale.
A collection is not a stylistic use
Mixolydian does not become a different scale because it appears in a baião, a blues or a country solo. The same structure serves different traditions; the style lives in the phrasing, the rhythm and the target notes, not in swapping scales.
The most important structural families
The seven modes of the major scale
The diatonic modes share the same pattern of tones and semitones but reorganize the center. To sound modal you have to reinforce the center and the characteristic degree — if the music keeps resolving to C, the ear hears C major, not D Dorian.
| Scale | Formula | Example | |
|---|---|---|---|
| Ionian | 1 2 3 4 5 6 7 | C D E F G A B | Another name for the major scale: open, settled sound — the backbone of major keys and most familiar chords. |
| Dorian mode 2 of Ionian | 1 2 b3 4 5 6 b7 | D E F G A B C | 2nd mode of Ionian: minor with a major 6th — the loose groove of funk, soul and modal jazz. |
| Phrygian mode 3 of Ionian | 1 b2 b3 4 5 b6 b7 | E F G A B C D | 3rd mode of Ionian: the b2 right at the start gives a dark tension heard in metal, flamenco and film scores. |
| Lydian mode 4 of Ionian | 1 2 3 #4 5 6 7 | F G A B C D E | 4th mode of Ionian: major with a #4 — the floating, open sound of film scores and jazz. |
| Mixolydian mode 5 of Ionian | 1 2 3 4 5 6 b7 | G A B C D E F | 5th mode of Ionian: major with a b7 — the dominant sound of rock, blues, country and baião. |
| Aeolian mode 6 of Ionian | 1 2 b3 4 5 b6 b7 | A B C D E F G | 6th mode of Ionian and the same notes as natural minor: the melancholic minor of rock, pop and film music. |
| Locrian mode 7 of Ionian | 1 b2 b3 4 b5 b6 b7 | B C D E F G A | 7th mode of Ionian: no perfect 5th, so it is unstable — it shines over the half-diminished m7(b5) chord. |
Scale — The whole scale on the neck — in boxes or 3 notes per string; on the major modes, on guitar in standard tuning, with the CAGED forms named · use it in Chord & Fret
The three forms of the minor scale
"Minor scale" can mean different structures. Classical melodic minor is directional (ascends with major 6th and 7th, descends as natural); jazz minor is treated as a fixed collection and generates its own seven modes.
| Scale | Formula | Example | |
|---|---|---|---|
| natural minor | 1 2 b3 4 5 b6 b7 | A B C D E F G | Major with lowered 3rd, 6th and 7th: the classic minor sound of rock, pop and film scores — same collection as Aeolian. |
| harmonic minor | 1 2 b3 4 5 b6 7 | A B C D E F G# | Natural minor with a major 7th: gains a leading tone and V7 in minor, plus the exotic step-and-a-half leap from 6th to 7th. |
| melodic minor | 1 2 b3 4 5 6 7 | A B C D E F# G# | Minor with raised 6th and 7th: a smooth line up to the tonic; in jazz, a fixed collection with seven modes, home of m(maj7). |
Harmonic minor and its modes
The major seventh creates a strong leading tone and enables the V7 chord in a minor key. In popular practice the most relevant modes of the family are harmonic minor itself and phrygian dominant.
| Scale | Formula | Example | |
|---|---|---|---|
| harmonic minor | 1 2 b3 4 5 b6 7 | A B C D E F G# | Natural minor with a major 7th: gains a leading tone and V7 in minor, plus the exotic step-and-a-half leap from 6th to 7th. |
| Locrian ♮6 mode 2 of harmonic minor | 1 b2 b3 4 b5 6 b7 | B C D E F G# A | 2nd mode of harmonic minor: a Locrian with a major 6th — a brighter color for the half-diminished m7(b5) chord. |
| Ionian ♯5 (augmented) mode 3 of harmonic minor | 1 2 3 4 #5 6 7 | C D E F G# A B | 3rd mode of harmonic minor: a major scale with a raised 5th, floating and unreal — the color of the maj7(#5) chord. |
| Dorian ♯4 (Ukrainian) mode 4 of harmonic minor | 1 2 b3 #4 5 6 b7 | D E F G# A B C | 4th mode of harmonic minor: Dorian with a raised 4th — an exotic step-and-a-half leap over a major-6th minor sound. |
| Phrygian dominant mode 5 of harmonic minor | 1 b2 3 4 5 b6 b7 | E F G# A B C D | 5th mode of harmonic minor: major 3rd plus b2, the 'Spanish sound' of flamenco — classic color for dominants in minor keys. |
| Lydian ♯2 mode 6 of harmonic minor | 1 #2 3 #4 5 6 7 | F G# A B C D E | 6th mode of harmonic minor: an exotic Lydian with a step-and-a-half leap right at the start. |
| Ultralocrian mode 7 of harmonic minor | 1 b2 b3 b4 b5 b6 bb7 | G Ab Bb Cb Db Eb Fb | 7th mode of harmonic minor, almost everything lowered: dark, restless sound — a fit for the diminished seventh chord. |
Melodic (jazz) minor and its modes
The jazz-minor modes are central to jazz and sophisticated harmony. The #2/b3/#5 spelling is functional: enharmonically some notes sound the same, but the notation marks the tension they represent.
| Scale | Formula | Example | |
|---|---|---|---|
| melodic minor | 1 2 b3 4 5 6 7 | A B C D E F# G# | Minor with raised 6th and 7th: a smooth line up to the tonic; in jazz, a fixed collection with seven modes, home of m(maj7). |
| Dorian ♭2 mode 2 of melodic minor | 1 b2 b3 4 5 6 b7 | B C D E F# G# A | 2nd mode of the melodic minor: Dorian with a lowered 2nd — a grooving minor with a shadow right above the tonic. |
| Lydian augmented mode 3 of melodic minor | 1 2 3 #4 #5 6 7 | C D E F# G# A B | 3rd mode of the melodic minor: Lydian with raised 4th and 5th — a suspended shine, the color of maj7(#5) chords. |
| Lydian dominant mode 4 of melodic minor | 1 2 3 #4 5 6 b7 | D E F# G# A B C | 4th mode of the melodic minor: Mixolydian with a #4 — the scale for 7(#11) chords, from jazz to bossa nova and MPB. |
| Mixolydian ♭6 mode 5 of melodic minor | 1 2 3 4 5 b6 b7 | E F# G# A B C D | 5th mode of the melodic minor: Mixolydian with a b6 — a nostalgic dominant, the natural reading of 7(b13) chords. |
| Locrian ♮2 mode 6 of melodic minor | 1 2 b3 4 b5 b6 b7 | F G Ab Bb Cb Db Eb | 6th mode of the melodic minor: Locrian with a major 2nd, smoother — the preferred scale over m7(b5) in the minor ii–V. |
| altered (super-Locrian) mode 7 of melodic minor | 1 b2 b3 b4 b5 b6 b7 | G Ab Bb Cb Db Eb F | 7th mode of the melodic minor: b9, #9, b5 and b13 at once — maximum tension over 7alt dominants that beg to resolve. |
Pentatonics
Five notes, without the characteristic semitones of the diatonic scales. They are easy to apply because they avoid friction — but they are not a universal solution: the phrase depends on rhythm, articulation and target notes.
| Scale | Formula | Example | |
|---|---|---|---|
| major pentatonic | 1 2 3 5 6 | C D E G A | The major scale minus its 4th and 7th degrees: five notes, no semitones — the clean sound of country, folk, pop and gospel. |
| minor pentatonic | 1 b3 4 5 b7 | A C D E G | Natural minor minus its 2nd and 6th degrees: five friction-free notes, the core voice of blues, rock and popular music. |
Blues scales
The simultaneous or alternating minor and major third is fundamental to the language. Expression, bends and micro-tuning weigh as much as the collection of notes.
| Scale | Formula | Example | |
|---|---|---|---|
| minor blues | 1 b3 4 b5 5 b7 | A C D Eb E G | Minor pentatonic plus the b5 blue note: the crying, attitude-filled sound of blues and rock. |
| major blues | 1 2 b3 3 5 6 | C D Eb E G A | Major pentatonic plus a passing b3: the smiling side of the blues — the same notes as the relative minor blues. |
Symmetric scales
They repeat a regular intervallic pattern, which allows internal transpositions — the diminished scale, for instance, repeats its structure every minor third.
| Scale | Formula | Example | |
|---|---|---|---|
| whole tone | 1 2 3 #4 #5 #6 | C D E F# G# A# | Whole steps only, no half steps: a floating, dreamlike sound that colors augmented 7(#5) dominant chords. |
| diminished (half-whole) | 1 b2 #2 3 #4 5 6 b7 | C Db D# E F# G A Bb | Eight notes alternating half and whole steps: symmetric tension tailor-made for 7(b9) dominant chords. |
| diminished (whole-half) | 1 2 b3 4 b5 b6 bb7 7 | C D Eb F Gb Ab Bbb B | Eight notes in whole–half steps: the diminished seventh chord’s own scale, repeating its pattern every minor third. |
Bebop scales
They add one chromatic note to a seven-note scale to make eight. The function is rhythmic: aligning chord tones with strong beats in continuous eighth-note lines. The naming varies between schools — these are pedagogical conventions, not families as stable as major, harmonic minor or melodic minor.
| Scale | Formula | Example | |
|---|---|---|---|
| bebop dominant | 1 2 3 4 5 6 b7 7 | G A B C D E F F# | Mixolydian plus a passing major 7th: eight notes that land the chord tones on strong beats in jazz lines. |
| bebop major | 1 2 3 4 5 #5 6 7 | C D E F G G# A B | Major scale plus a chromatic note between 5 and 6 (spelled #5 here): lands major-chord tones on strong beats in jazz. |
| bebop Dorian | 1 2 b3 3 4 5 6 b7 | D E F F# G A B C | Dorian plus a passing major 3rd: eight notes landing minor-chord tones on strong beats; formulas vary between schools. |
Synthetic and specialized scales
They appear in specific repertoires — concert music, film scores, modern jazz, regional traditions.
| Scale | Formula | Example | |
|---|---|---|---|
| harmonic major | 1 2 3 4 5 b6 7 | C D E F G Ab B | The major scale with a lowered 6th: an exotic leap between 6th and 7th, and the sound of modal borrowing in a major key. |
| double harmonic (Byzantine) | 1 b2 3 4 5 b6 7 | C Db E F G Ab B | Two step-and-a-half leaps over a major base: the dramatic 'East-of-the-movies' sound — a historical catalog name. |
| Hungarian minor (Gypsy) | 1 2 b3 #4 5 b6 7 | A B C D# E F G# | Harmonic minor with a #4: two step-and-a-half leaps and an intense dance feel; it serves the m(maj7) chord. |
| Neapolitan minor | 1 b2 b3 4 5 b6 7 | A Bb C D E F G# | Harmonic minor with a b2, the Neapolitan-chord step: a dark, theatrical sound, more common in composition. |
| Neapolitan major | 1 b2 b3 4 5 6 7 | A Bb C D E F# G# | Melodic minor with a b2: a dark start, a bright whole-step climb — the 'major' is in its 6th and 7th. |
| Persian | 1 b2 3 4 b5 b6 7 | C Db E F Gb Ab B | Double harmonic with a b5: dense and unstable, no obvious rest; a Western catalog name, a composer's color. |
An efficient order of learning
- Tonal base: the major scale and the major and minor pentatonics — degrees before shapes.
- The most applicable modes: Dorian and Mixolydian, reinforcing the characteristic degree.
- Minor tonality: natural, harmonic and melodic, focusing on the leading tone.
- Sophisticated harmony: the melodic-minor modes (Lydian dominant, altered).
- Specialized vocabulary: symmetric, bebop and synthetic scales, as the repertoire demands.
Identify Chord — Found a shape on your own fretboard? The app names it back · see it in Chord & Fret
How many scales are there?
There is no simple answer. In the 12-note system the combinations are finite, but a scale involves order, tonic, spelling, direction, hierarchy, historical use, function and style — and the same collection can carry several names. The collection 1–2–3–#4–5–6–b7 is called Lydian dominant, the acoustic scale, Lydian b7 or the fourth mode of melodic minor. A useful catalog prioritizes relevant scales and shows family relationships instead of listing hundreds of names at the same level.
Want to change keys without redoing any of this? In the Chord & Fret app you drag and the whole neck rewrites itself — it's on the app stores.
Frequently asked questions
- Which scale should I learn first?
- The major scale and the major and minor pentatonics. They give the tonal and melodic base everything else is organized on.
- Are the Greek modes different scales?
- They are different organizations of one collection. What sets them apart is the center and the characteristic degree, not a new set of notes.
- Does the minor pentatonic work over any minor chord?
- It works in most minor contexts, but it does not replace hearing the chord: target notes and rhythm decide whether the phrase convinces.
- What is the difference between harmonic minor and phrygian dominant?
- They are the same collection seen from different centers: phrygian dominant is the 5th mode of harmonic minor. Function changes with the center.
- Are altered and super-Locrian the same scale?
- Yes — two names for the 7th mode of melodic minor. "Super-Locrian" describes the construction; "altered" describes the use over a 7alt dominant.
- Are the major scale and Ionian the same thing?
- The same collection. "Ionian" stresses the modal reading within a system of modes; "major" is the tonal name.
- Is there a single "Northeastern Brazilian" scale?
- Not one. Baião, xote and forró lean mostly on Mixolydian and Lydian dominant, but the character comes from the phrasing and accompaniment, not from an exclusive scale.
On cultural names
Terms like "Persian", "Arabic", "Byzantine" or "Hungarian" are historical names from the Western catalog and do not fully represent the musical systems of those cultures. A seven-note Western scale does not sum up an entire tradition.
Sources and methodology
Structured from tonal and modal harmony literature, jazz theory, computational analysis and music-representation standards (music21, MusicXML 4.0, Open Music Theory and harmonic corpora). The formulas and modal derivations on this page are verified against the same scale engine the app runs.