How to use it
- Choose Two notes → interval, or Note + interval → note.
- Pick the notes or the interval and direction.
- Read the name, half steps and inversion.
- Play it together or one after the other.
Two ways to calculate
Two notes → interval. Pick a lower and an upper note. The calculator names the interval (for example major third), gives its short symbol (M3), the number of half steps, the inversion and whether it's consonant or dissonant. Tick the compound option to put the upper note one more octave up and get ninths, tenths and beyond.
Note + interval → note. Pick a starting note, an interval and a direction. The tool returns the correctly spelled target: a major third above E♭ is G, a minor third above C♯ is E, and a diminished seventh above C is B𝄫 (double flat), not A, because interval spelling depends on letter names, not just on keys.
Interval chart
| Half steps | Interval | Symbol | Example from C |
|---|---|---|---|
| 0 | Perfect unison | P1 | C–C |
| 1 | Minor second | m2 | C–D♭ |
| 2 | Major second | M2 | C–D |
| 3 | Minor third | m3 | C–E♭ |
| 4 | Major third | M3 | C–E |
| 5 | Perfect fourth | P4 | C–F |
| 6 | Augmented 4th / diminished 5th (tritone) | A4 / d5 | C–F♯ / C–G♭ |
| 7 | Perfect fifth | P5 | C–G |
| 8 | Minor sixth | m6 | C–A♭ |
| 9 | Major sixth | M6 | C–A |
| 10 | Minor seventh | m7 | C–B♭ |
| 11 | Major seventh | M7 | C–B |
| 12 | Perfect octave | P8 | C–C' |
The same chart is built into the tool; click any example to hear it.
Inversions and consonance
To invert an interval, move the lower note up an octave. The numbers always add up to 9 and the quality flips: major becomes minor, augmented becomes diminished, and perfect stays perfect. A major third (C–E) inverts to a minor sixth (E–C); a perfect fourth inverts to a perfect fifth.
The calculator also labels how the interval sounds in traditional theory:
- Perfect consonance: unison, octave and fifth. The fourth is consonant too, but treated as a dissonance above the bass in classical harmony.
- Imperfect consonance: major and minor thirds and sixths.
- Dissonance: seconds, sevenths and every augmented or diminished interval, even when it sounds like a consonant one on the piano (an augmented second sounds like a minor third).
Ear training
The Ear training box plays a random interval and you pick its name. Start with the Basic set (M2, m3, M3, P4, P5, P8) and move on to All 12 when you're ready. Choose Melodic to hear the two notes one after the other, or Harmonic to hear them together, which is harder. The score and your current streak are shown as you go.
A classic trick is to link each interval to the start of a song you know: many people hear a perfect fourth as Here Comes the Bride and a perfect fifth as the opening of the Star Wars theme. Use whichever songs work for you. Everything runs in your browser, so the quiz works offline once the page has loaded.
Frequently asked questions
How many half steps are in a perfect fifth?
Seven. A perfect fourth has five and an octave has twelve.
What is a tritone?
An interval of six half steps, exactly half an octave. Spelled as an augmented fourth (C–F♯) or a diminished fifth (C–G♭).
What is the inversion of a major third?
A minor sixth. Interval numbers in an inversion add up to 9, and major becomes minor.
Why is C to D♯ an augmented second and not a minor third?
Interval names come from letter names. C to D is a second, so C to D♯ is an augmented second, even though it sounds the same as the minor third C–E♭.
What is a compound interval?
An interval larger than an octave, such as a ninth (an octave plus a second) or a tenth (an octave plus a third).
Last updated: November 12, 2026