Scales, one relationship at a time
Use these formulas as maps of semitone distances from the root. The final 12 marks the octave; it does not add a new pitch class. The examples use common note spellings, not fingering instructions.
Start with intervals
A semitone is the smallest step in twelve-tone equal temperament: one fret on a guitar, or the next piano key including black keys. A whole tone spans two semitones. Count distances from the root instead of counting only white keys. The octave returns to the same note name at twice the frequency.
- Semitones from the root
- 1 whole tone = 2 semitones
- Note example
- C–Db: 1 · C–D: 2
Try it
Play C–Db–D slowly. Listen to the difference between the small step and the whole tone.
The major scale
The major scale has seven distinct notes. Its semitone steps lie between degrees 3–4 and 7–8; the other adjacent steps are whole tones. Moving the entire pattern to another root changes the note names but keeps the relationships. A major key can still contain borrowed chords or chromatic melody notes.
- Semitones from the root
- 0–2–4–5–7–9–11–12
- Note example
- C D E F G A B C
Try it
Play the scale up and down, then make a four-note phrase that comes home to C.
The natural minor scale
Natural minor lowers degrees 3, 6 and 7 compared with the parallel major scale. A natural minor uses the same notes as C major, but A is its tonal center. Relative keys share a key signature; parallel keys share a root. Harmonic and melodic minor are related forms with different sixth or seventh degrees.
- Semitones from the root
- 0–2–3–5–7–8–10–12
- Note example
- A B C D E F G A
Try it
Compare C major with C natural minor. Keep C as home so the lowered degrees are easy to hear.
Major and minor pentatonic scales
Pentatonic means five notes per octave. Major pentatonic uses degrees 1, 2, 3, 5 and 6; minor pentatonic uses 1, flat 3, 4, 5 and flat 7. Their open spacing makes short phrases easy to explore, but no scale guarantees that every note will fit every chord. Rhythm and where a phrase resolves still matter.
- Semitones from the root
- Major: 0–2–4–7–9 · Minor: 0–3–5–7–10
- Note example
- C D E G A · A C D E G
Try it
Limit yourself to three notes. Repeat a rhythm, then change only the final note.
The minor blues scale
A common six-note minor blues scale adds the flat fifth to minor pentatonic. That extra note often creates passing tension rather than a resting point. Blues performance also uses bends, flexible pitch and rhythmic phrasing that an equal-tempered note list cannot fully describe. There are other blues-scale conventions; this is one practical starting point.
- Semitones from the root
- 0–3–5–6–7–10–12
- Note example
- C Eb F Gb G Bb C
Try it
Move from F through Gb to G, then resolve to C. Hear the flat fifth as tension you can release.
Modes and tonal centers
The seven modes of the major-scale collection are Ionian, Dorian, Phrygian, Lydian, Mixolydian, Aeolian and Locrian. They share a collection when built on successive notes, but each organizes it around a different center. Dorian has a natural sixth relative to natural minor; Lydian has a raised fourth relative to major; Mixolydian has a lowered seventh. Keep a drone or repeated home note to hear the difference.
- Semitones from the root
- Ionian: 0–2–4–5–7–9–11 Dorian: 0–2–3–5–7–9–10 Phrygian: 0–1–3–5–7–8–10 Lydian: 0–2–4–6–7–9–11 Mixolydian: 0–2–4–5–7–9–10 Aeolian: 0–2–3–5–7–8–10 Locrian: 0–1–3–5–6–8–10
- Note example
- D Dorian: D E F G A B C D
Try it
Compare D natural minor and D Dorian. Hold D as a reference and change only Bb to B.
From a scale to a musical phrase
Choose one root and one scale. Sing or play a short idea, leave a pause and answer it. Then compare its chord tones with the chord underneath. Practicing every scale quickly is less useful than hearing how a few notes move toward or away from home. Stop if practice causes discomfort and use a comfortable register.
- Semitones from the root
- Root → phrase → pause → return
- Note example
- C E G E · D F E C
Try it
Use a slow metronome, keep the phrase short and change either the rhythm or one note—not both at once.
