Music Scale Calculator: Notes, Intervals, and Scale Formulas
Choose a root note and a scale type to see every note in that scale, the semitone-step pattern between them, the interval names from the root, and the numeric degree formula used in theory textbooks and chord charts. Covers 20 scale types from the major and natural minor to modes, pentatonics, blues, whole-tone, diminished, and exotic world scales. The "show your work" panel walks you through how each note is derived so you understand the pattern, not just the answer.
How musical scales are built
Every musical scale is a pattern of half steps (semitones) applied to a starting note called the root or tonic. The chromatic scale divides the octave into 12 equal semitones; any named scale selects a subset of those 12 pitches using a fixed interval recipe.
For example, the major scale uses the pattern 2-2-1-2-2-2-1 (in semitones). Starting from C: move 2 semitones to D, 2 more to E, 1 to F, 2 to G, 2 to A, 2 to B, and 1 back to C an octave higher. That step sequence never changes regardless of root note, giving all 12 major scales the same relative sound and the same interval relationships between their degrees.
- Whole step (W): 2 semitones - the most common melodic move.
- Half step (H): 1 semitone - creates tension and pulls toward resolution.
- Minor 3rd (m3): 3 semitones - used in pentatonic and blues scales for character.
How to use this calculator
Select a root note from the dropdown (the 12 pitches of the chromatic scale are listed, with enharmonic equivalents grouped as "C# / Db"). Then choose a scale type. The calculator instantly shows:
- Scale notes: every pitch name from root to root, using sharp or flat spelling based on key convention.
- Semitone step pattern: the interval recipe in half steps - this is the scale's "DNA".
- Degree formula: the numeric notation used in theory books (b3 means the third degree is lowered a half step from major).
- Intervals from root: the formal interval name for each degree (Major 2nd, Perfect 5th, etc.).
The "show your work" panel below the result traces every note step by step so you can follow the logic yourself.
The seven modes of the major scale
A mode is a scale derived by starting the major scale pattern on a different degree. Starting C major on its second note gives D Dorian; starting on the third gives E Phrygian; and so on. All seven modes share the same seven notes as their parent major key, but each one has a different root and therefore a different tonal center and character:
- Ionian (major): 1 - bright, stable, tonal home base.
- Dorian: 2 - minor feel, raised 6th, popular in jazz and funk.
- Phrygian: 3 - b2 gives a Spanish or flamenco flavor.
- Lydian: 4 - raised 4th creates a dreamy, floating quality.
- Mixolydian: 5 - major with b7, the scale of rock and blues-rock dominants.
- Aeolian (natural minor): 6 - the standard minor scale.
- Locrian: 7 - b2 and b5 make it highly dissonant; rare in tonal music.
Each mode is listed separately in the scale type dropdown so you can hear exactly which notes it contains from any root.
Pentatonic and blues scales
Pentatonic scales use only five notes per octave, removing the half-step intervals that create strong tension and resolution pulls. This makes them very accessible for improvisation because there are no "avoid notes" that clash with common chords.
The major pentatonic (1-2-3-5-6) drops the 4th and 7th degrees of the major scale. The minor pentatonic (1-b3-4-5-b7) drops the 2nd and b6. Both scales are used across folk, pop, rock, country, and blues worldwide.
The blues scale adds a single note to the minor pentatonic: the b5, known as the "blue note." This chromatic passing tone is the defining sound of blues, R&B, and soul. Guitarists bend into and out of the b5 constantly for expressive effect. Structurally, the blues scale's step pattern is 3-2-1-1-3-2.
Sharp vs. flat note spelling
Every black key on a piano has two names (C# and Db are the same pitch) and the choice between them depends on key convention. Keys that traditionally use sharps in their key signature (G, D, A, E, B, F#) spell accidentals as sharps. Keys that traditionally use flats (F, Bb, Eb, Ab, Db, Gb) spell them as flats.
This calculator follows that convention automatically: select F as the root and accidentals will appear as Bb and Eb; select G as the root and they will appear as F# and C#. Proper enharmonic spelling prevents notes from being repeated (you would never write "E and E#" in the same scale when "E and F" says the same thing more clearly).
Common scale types and their semitone patterns
| Scale | Degrees | Step pattern | Sound character |
|---|---|---|---|
| Major | 7 | 2-2-1-2-2-2-1 | Bright, stable, resolved |
| Natural Minor | 7 | 2-1-2-2-1-2-2 | Dark, emotional, introspective |
| Harmonic Minor | 7 | 2-1-2-2-1-3-1 | Exotic, dramatic, classical minor |
| Melodic Minor | 7 | 2-1-2-2-2-2-1 | Smooth, jazz-minor, versatile |
| Major Pentatonic | 5 | 2-2-3-2-3 | Open, singable, folk-friendly |
| Minor Pentatonic | 5 | 3-2-2-3-2 | Blues, rock, universal soloing |
| Blues | 6 | 3-2-1-1-3-2 | Soulful, bent, expressive |
| Dorian | 7 | 2-1-2-2-2-1-2 | Minor with bright 6th, jazz/funk |
| Phrygian | 7 | 1-2-2-2-1-2-2 | Spanish, flamenco, metal |
| Lydian | 7 | 2-2-2-1-2-2-1 | Dreamy, floating, film scores |
| Mixolydian | 7 | 2-2-1-2-2-1-2 | Rock, blues rock, folk |
| Locrian | 7 | 1-2-2-1-2-2-2 | Diminished, dissonant, metal |
| Whole Tone | 6 | 2-2-2-2-2-2 | Impressionistic, ambiguous |
| Diminished (oct.) | 8 | 2-1-2-1-2-1-2-1 | Symmetrical, jazz over dim chords |
Step pattern in semitones (1 = half step, 2 = whole step, 3 = minor third). Compare to see how each scale differs from major.
Frequently asked questions
What is the difference between a scale and a mode?
A mode is a type of scale derived by rotating the starting point of an existing scale. The seven modes (Ionian through Locrian) all share the same seven notes as their parent major key, but each one treats a different note as the tonic, giving it a different flavor. In practice, a scale and a mode are the same kind of thing - an ordered set of pitches with a fixed interval pattern.
What does the degree formula mean (e.g. 1 2 b3 4 5 b6 b7)?
The degree formula compares every note in the scale to the corresponding degree of the major scale. A "b" (flat) symbol means that degree is one half step lower than in the major scale. A "#" (sharp) means it is one half step higher. The natural minor formula "1 2 b3 4 5 b6 b7" tells you that degrees 3, 6, and 7 are all lowered one half step from major - that flattening is what gives the scale its darker character.
How many notes are in a scale?
It depends on the scale type. Most Western scales are heptatonic (7 notes per octave, not counting the repeated root). Pentatonic scales have 5 notes. The blues scale has 6. The whole-tone and augmented scales have 6. The diminished (octatonic) scale has 8. Exotic scales can have anywhere from 5 to 12 notes.
Which scale should I use for soloing?
It depends on the chord. Over a major chord, try the major scale or major pentatonic. Over a minor chord, the natural minor or minor pentatonic are safe choices. Over a dominant 7th chord (e.g. G7), try Mixolydian or the blues scale. Over a dominant 7th with altered tensions (G7#9 or G7b9), the super-locrian (altered) scale matches all the chord tones. Dorian is a great all-purpose minor mode for jazz and funk.
What is a semitone (half step) vs. a whole step?
A semitone is the smallest interval in Western music - the distance from one piano key to the immediately adjacent key (including black keys). C to C# is one semitone. A whole step is two semitones: C to D is a whole step. The semitone pattern of a scale is its defining "DNA" - the same pattern applied from any root always produces the same scale type.
Why do some scales use flats and others use sharps?
The choice follows the key signature convention established by music theory. Keys on the sharp side of the circle of fifths (G, D, A, E, B, F#) use sharp spelling for accidentals; keys on the flat side (F, Bb, Eb, Ab, Db, Gb) use flat spelling. This prevents double-naming the same letter twice in one scale and makes the music easier to read.
What is the blues scale and why does it sound bluesy?
The blues scale is a six-note scale built by adding a b5 (flat fifth, also called the "blue note") to the minor pentatonic. The blue note sits between the perfect 4th and perfect 5th, creating a dissonant chromatic pull. Guitarists exaggerate this tension by bending the string into the blue note pitch. The combination of the minor third (b3), blue note (b5), and minor seventh (b7) over major or dominant chords creates the characteristic clash that defines blues music.