Lesson 3 of 7 · about 13 minutes
Intervals by Ear
You'll be able to
- Name the intervals from a half step to an octave and count their half steps
- Use well-known melodies as memory hooks for each interval
- Hear whether a melody leap is a third, fourth, fifth or sixth
- Check your own sung intervals against a pitch reader
An interval is the distance from one note to another. That is all. When a melody jumps, it jumps by an interval. When two people sing harmony, they are singing an interval. And every chord is a stack of intervals. If you can hear the difference between a third and a fifth, you can work out melodies by ear, sing harmony on purpose, and tell a bass player "go up a fourth" instead of humming at them.
Naming intervals by counting
Intervals get two parts to their name. The number counts letter names, including both ends. C to E covers C, D, E, so it is a third. C to G covers C, D, E, F, G, so it is a fifth. The quality word (major, minor, perfect) tells you the exact size, which you check by counting half steps.
Here is the whole set within one octave, measured up from C:
| Half steps | Interval | From C | How it feels |
|---|---|---|---|
| 0 | Unison | C to C | Same note |
| 1 | Minor second | C to Db | Rubbing, tense |
| 2 | Major second | C to D | A plain step |
| 3 | Minor third | C to Eb | Sad, bluesy |
| 4 | Major third | C to E | Bright, happy |
| 5 | Perfect fourth | C to F | Open, a call to attention |
| 6 | Tritone | C to F# | Unsettled, wants to move |
| 7 | Perfect fifth | C to G | Strong, hollow, stable |
| 8 | Minor sixth | C to Ab | Bittersweet |
| 9 | Major sixth | C to A | Warm, sweet |
| 10 | Minor seventh | C to Bb | Bluesy, unresolved |
| 11 | Major seventh | C to B | Dreamy, leaning upward |
| 12 | Octave | C to C | Same note, higher |
On a guitar, counting half steps is counting frets. Put a finger on any fret, then count up the same string. Three frets up is a minor third. Seven frets up is a fifth. You can check every row of that table on one string in a couple of minutes.
Memory hooks
Nobody learns intervals from a table. You learn them by tying each one to the start of a tune you already hear in your head. Here are hooks that work for most people raised on American folk, church and campfire music. Hum the first two notes of the tune, not the whole thing. The interval is the jump between those two notes unless I say otherwise.
Going up
- Minor second: the shark theme from the movie "Jaws." Two low notes, a half step apart, rocking back and forth.
- Major second: "Happy Birthday." The first two notes are the same pitch. The third note steps up a whole step. That step is your major second.
- Minor third: "Greensleeves." The very first leap, from the pickup note up to the first strong beat.
- Major third: "When the Saints Go Marching In." The first two notes. Also the first two notes of "Kumbaya."
- Perfect fourth: "Amazing Grace." The opening jump from the low pickup up to the long note. Also "Here Comes the Bride" and the bugle call "Taps," which starts with two quick notes on the same pitch and then jumps up a fourth.
- Tritone: "Maria" from "West Side Story." The first two notes of the title word. It sounds like it is about to fall over, and it is supposed to.
- Perfect fifth: "Twinkle, Twinkle, Little Star." First note twice, then the leap up. Also the first big jump in the main "Star Wars" theme.
- Minor sixth: "The Entertainer," the Scott Joplin rag. Skip the first two little pickup notes. The jump from the third note up to the fourth is a minor sixth.
- Major sixth: "My Bonnie Lies Over the Ocean." The first two notes. Also the three-note NBC chime, first to second note.
- Minor seventh: the opening of the original "Star Trek" television theme, the first two notes of the fanfare.
- Major seventh: "Over the Rainbow" from "The Wizard of Oz," but measured from the first note to the third. The first jump is an octave, then the melody drops a half step. First note to that third note is a major seventh.
- Octave: "Over the Rainbow" again, first two notes.
Going down
- Major second down: "Mary Had a Little Lamb," first two notes.
- Minor third down: "Hey Jude," first two notes. Also the playground taunt everyone knows, the singsong two-note "nyah nyah."
- Major third down: "Swing Low, Sweet Chariot," first two notes.
- Perfect fifth down: the theme from "The Flintstones," first two notes.
If a hook does not work for you, swap it. Your own hooks stick better. A Baptist kid and a punk kid will have different lists, and both lists are correct as long as the intervals check out. To check a hook, pick out its first two notes on a guitar string and count the frets between them.
Why songwriters care
Melody shape is mostly intervals. Steps (seconds) feel like talking. Leaps feel like shouting, pleading or praising. A chorus that opens with a big leap, a fourth, fifth or sixth, announces itself. A verse that moves mostly by steps sounds conversational, which is exactly what a story verse wants. Listen to old gospel and you will hear choruses jump up a fourth or fifth on the first word, then walk back down by steps. That shape is no accident.
Harmony singing is intervals too. The standard country and bluegrass harmony sits a third above the melody most of the time, sometimes moving to a fourth or fifth so it stays inside the chord. If you can hear thirds, you can find a harmony part. Sing the melody note, then sing up to the next note of the chord, and you are most of the way there.
Thirds and fifths are the ones that matter most
If you only learn three intervals this month, learn the major third, the minor third and the perfect fifth. Every chord in the next lesson is built from them. A major chord is a major third with a minor third stacked on top. A minor chord flips that order. The outer edge of both is a perfect fifth. Hear those three, and you can tell major from minor by ear, which is the single most useful ear skill for a folk player working out a song from a recording.
Example: working out a melody
You have a tune in your head for a chorus line, "We will pave the county road." You sing it into your phone. The first two words sit on the same note, then "pave" jumps up. It feels like the start of "Twinkle, Twinkle." So it is a fifth. If you started on G, "pave" is D. "The county" steps down a whole step to C and stays there, and "road" settles on B, a major third above the G you started on. Now you can play it, write it down, and hand it to a fiddler.
Try it
- On one guitar string, play a note, then the note seven frets higher. Hum "Twinkle, Twinkle" and match it. Repeat for 5 frets ("Amazing Grace"), 4 frets ("Saints") and 3 frets ("Greensleeves").
- Have a friend play two notes on a guitar or piano while you look away. Name the interval using your hooks. Stick to thirds, fourths and fifths for the first week.
- Open SoundStudio and record yourself singing a steady note, then a fifth above it, then a major third above the first note. Turn on the Wave + Pitch view and point at each note to read its name. Count the half steps between the names: a fifth should be 7 apart, a major third 4. If the third came out 3 or 5, you sang a minor third or a fourth. Try again until the numbers match.
- Take a song you wrote. Find the biggest leap in the melody and name it.
Checklist
- I can count the half steps in any interval up to an octave.
- I have at least one memory hook for the third, fourth, fifth and sixth.
- I can hear the difference between a major and minor third.
- I have checked my sung intervals against SoundStudio's pitch line.
Current: In the News
Audio and video
- "Ultimate Intervals 1 - Musical Ear Training for Beginners - 1sts, 5ths, and Octaves", Joe Luegers Music Academy (YouTube), September 9, 2022. Beginner ear training with listening exercises for unisons, fifths and octaves, using familiar melodies as anchors.
- "Intervals (Ear Training) - Identifying Intervals Using Popular Songs", In Unison Music Lessons (YouTube), March 3, 2020. Uses song openings as memory hooks for each interval, the same method this lesson teaches.
- "Interval Ear Training: Aural Training Stage 1of5 (Guitar Lesson AU-101) How to play", JustinGuitar (YouTube), October 13, 2010. First part of a free guitar-based ear training course that drills hearing intervals.
External resources
- "Interval Ear Training", musictheory.net. Free browser drill that plays intervals and asks you to name them, for daily practice.
- "Specific Intervals", musictheory.net. Explains interval quality (major, minor, perfect) and how to count half steps.
- "Intervals", Open Music Theory. Open textbook chapter covering interval size, quality, inversion and consonance, with worksheets.
Check yourself
1. How many half steps are in a perfect fifth?
A perfect fifth is seven half steps, for example C up to G. Five half steps is a perfect fourth.
2. The first two notes of "Amazing Grace" leap upward by which interval?
The melody starts on the 5 below the home note and jumps up to the 1. That leap is a perfect fourth, five half steps.
3. What is the difference between a major third and a minor third?
A major third is four half steps and a minor third is three. That single half step is the difference between a bright chord and a sad one.
4. Which interval opens "Twinkle, Twinkle, Little Star" when the melody first moves?
The tune repeats its first note, then jumps up a perfect fifth, from 1 to 5.
5. C up to E is what interval?
C, C#, D, D#, E is four half steps, a major third. It is also the first two notes of a C major chord.
Terms in this lesson
- Interval
- The distance between two notes, named by how many letter names it spans and its exact size in half steps.
- Major and minor
- For seconds, thirds, sixths and sevenths, the major version is one half step bigger than the minor version.
- Perfect interval
- The fourth, fifth and octave. They have only one common size and sound open and stable.
- Tritone
- Six half steps, exactly half an octave. Tense and unstable. C up to F#.
- Relative pitch
- The skill of naming a note by its distance from a note you already know. It can be learned by anyone with practice.