Intervals in music: names, sizes and how to count them
An interval is the distance between two notes. Its name has a number, found by counting letter names, and a quality (perfect, major, minor, augmented or diminished), found by counting half steps. C up to G is a perfect fifth, 7 half steps.
An interval is the distance between two notes. Every melody is a string of intervals, and every chord is a stack of them. If you can name intervals, you can read music faster, build chords, understand scales and hear what is happening in a piece. Intervals are the vocabulary behind most of music theory.
Each interval has two parts to its name: a number and a quality. The number tells you how far apart the letters are. The quality tells you the exact size in half steps. This page explains both.
How do you find the number of an interval?
Count the letter names from the lower note to the upper note, including both ends. Ignore sharps and flats for this step. C to E is C, D, E, which is three letters, so it is a third. C to G is C, D, E, F, G, which is five letters, so it is a fifth. A note with itself is a unison, or first. Eight letters apart is an octave.
| Interval number | Name | Example from C |
|---|---|---|
| 1 | Unison | C to C |
| 2 | Second | C to D |
| 3 | Third | C to E |
| 4 | Fourth | C to F |
| 5 | Fifth | C to G |
| 6 | Sixth | C to A |
| 7 | Seventh | C to B |
| 8 | Octave | C to C |
What is interval quality?
The number alone is not enough. C to E and C to E♭ are both thirds, but they sound different and have different sizes. Quality names the exact size. There are five qualities: perfect, major, minor, augmented and diminished.
Unisons, fourths, fifths and octaves can be perfect. Seconds, thirds, sixths and sevenths can be major or minor. Any interval can be made one half step bigger (augmented) or smaller (diminished) than its usual size. A minor interval is one half step smaller than the major one. An augmented interval is one half step larger than major or perfect. A diminished interval is one half step smaller than minor or perfect.
How many half steps is each interval?
Count half steps on a keyboard, where each key (black or white) is one half step. See half steps and whole steps if you want a refresher. The table shows every interval within one octave above C.
| Interval | Short name | Half steps | Example from C |
|---|---|---|---|
| Perfect unison | P1 | 0 | C to C |
| Minor second | m2 | 1 | C to D♭ |
| Major second | M2 | 2 | C to D |
| Minor third | m3 | 3 | C to E♭ |
| Major third | M3 | 4 | C to E |
| Perfect fourth | P4 | 5 | C to F |
| Augmented fourth or diminished fifth | A4 or d5 | 6 | C to F♯ or G♭ |
| Perfect fifth | P5 | 7 | C to G |
| Minor sixth | m6 | 8 | C to A♭ |
| Major sixth | M6 | 9 | C to A |
| Minor seventh | m7 | 10 | C to B♭ |
| Major seventh | M7 | 11 | C to B |
| Perfect octave | P8 | 12 | C to C |
Memory trick: every interval from the tonic up the major scale is major or perfect. C to D, E, F, G, A and B are M2, M3, P4, P5, M6 and M7. Lower a major interval by one half step to make it minor.
What do the intervals look like?
Read more about specific intervals on their own pages, such as the major third, perfect fifth, tritone and octave.
What are melodic and harmonic intervals?
When two notes sound one after the other, the interval is melodic. When they sound together, it is harmonic. The name of the interval is the same either way. Melodic intervals can go up or down. Going down by a fifth from C lands on F, not G.
What is an interval inversion?
Turn an interval upside down by moving the lower note up an octave. The result is its inversion. Two rules help: the numbers always add up to 9, and the qualities swap. A third becomes a sixth, a fourth becomes a fifth, a second becomes a seventh. Major becomes minor, minor becomes major, augmented becomes diminished, and perfect stays perfect.
| Interval | Inverts to | Example |
|---|---|---|
| Major third (M3) | Minor sixth (m6) | C to E becomes E to C |
| Minor third (m3) | Major sixth (M6) | C to E♭ becomes E♭ to C |
| Perfect fourth (P4) | Perfect fifth (P5) | C to F becomes F to C |
| Major second (M2) | Minor seventh (m7) | C to D becomes D to C |
Which intervals are consonant and which are dissonant?
Some intervals sound stable and smooth. These are consonant. Others sound tense and want to move. These are dissonant. Traditionally, the unison, octave and perfect fifth are perfect consonances. Thirds and sixths are imperfect consonances. Seconds, sevenths and the tritone are dissonances. The perfect fourth is treated as consonant in some situations and dissonant in others, which is a point theory teachers like to debate.
Dissonant does not mean bad. Dissonance gives music its motion and drama, and a dissonance resolving into a consonance feels like a deep breath out.
What are compound intervals?
Intervals larger than an octave are compound. A ninth is an octave plus a second. A tenth is an octave plus a third. Chords such as a ninth chord use these. To name one, subtract 7 from the number: a ninth is a second, a tenth is a third.
How can you practice intervals?
- Pick a starting note and count the letter names to the second note to find the number.
- Count half steps and check the table for the quality.
- Play each one on a piano or sing it, so that you connect the name with the sound.
- Link each interval to a song you know, such as the first two notes of a familiar tune.
The best way to learn intervals is to hear them. Try the note trainer for practice and the music theory quiz to test yourself.
Interval chart
| Interval | Half steps | From C | Inverts to |
|---|---|---|---|
| perfect unison (P1) | 0 | C to C | perfect octave |
| minor second (m2) | 1 | C to D♭ | major seventh |
| major second (M2) | 2 | C to D | minor seventh |
| minor third (m3) | 3 | C to E♭ | major sixth |
| major third (M3) | 4 | C to E | minor sixth |
| perfect fourth (P4) | 5 | C to F | perfect fifth |
| augmented fourth (A4) | 6 | C to F♯ | diminished fifth |
| diminished fifth (d5) | 6 | C to G♭ | augmented fourth |
| perfect fifth (P5) | 7 | C to G | perfect fourth |
| minor sixth (m6) | 8 | C to A♭ | major third |
| major sixth (M6) | 9 | C to A | minor third |
| minor seventh (m7) | 10 | C to B♭ | major second |
| major seventh (M7) | 11 | C to B | minor second |
| perfect octave (P8) | 12 | C to C | perfect unison |
Check yourself
1. How many half steps are in a perfect fifth?
Answer: 7. A perfect fifth is 7 half steps, as in C up to G.
2. What is the interval from C up to E♭?
Answer: Minor third. The letters C to E make a third, and with E♭ it is 3 half steps, so it is minor.
3. What does a major sixth become when inverted?
Answer: Minor third. Numbers add to 9 and major becomes minor, so a major sixth inverts to a minor third.
4. Which interval is the tritone?
Answer: Six half steps. The tritone is an augmented fourth or diminished fifth, 6 half steps wide.
5. What interval is this?
Answer: Major seventh. C up to B is 11 half steps, one less than an octave.