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Intervals in Music

Understand the distance between any two notes — the foundation of melody, harmony, and chord construction.

Basics

What Is an Interval?

An interval is the distance in pitch between two notes. Every melody you sing and every chord you play is built from intervals.

Definition
Pitch Distance
The number of letter names (staff positions) from one note to another, counted inclusively.
Counting Rule
Include Both Notes
C to E = 3rd (C-D-E). Always count the starting note as "1."

Key Point: Intervals are named by two properties — number (how many letter names apart) and quality (the exact number of half steps).

Example — C to E (a Third)

𝄞 C4 E4 Major 3rd (4 half steps)
Types

Melodic & Harmonic Intervals

Intervals can be played one note after another (melodic) or both notes at the same time (harmonic).

Melodic
Sequential
Notes played one after another, as in a melody. Can be ascending or descending.
Harmonic
Simultaneous
Both notes sounded together, producing harmony. The basis of chords.

Melodic vs Harmonic — C to G (a Fifth)

𝄞 Melodic 𝄞 Harmonic
Basics

Interval Numbers

The interval number tells you how many letter names are spanned, counting both the lower and upper note.

Intervals from C — Unison through Octave

𝄞 C 1st D 2nd E 3rd F 4th G 5th A 6th B 7th C 8ve
Quality

Interval Quality

The number alone isn't enough — quality tells you the exact size in half steps. There are five qualities.

The Five Interval Qualities

QualityAbbreviationApplies ToDescription
PerfectPUnison, 4th, 5th, 8veThe "pure" consonant intervals found in major and minor scales
MajorM2nd, 3rd, 6th, 7thThe larger version — found between the root and that degree in a major scale
Minorm2nd, 3rd, 6th, 7thOne half step smaller than major
AugmentedA or +Any intervalOne half step larger than perfect or major
Diminishedd or °Any intervalOne half step smaller than perfect or minor

Remember: Unison, 4ths, 5ths, and octaves are called perfect intervals. They don't have major or minor forms. 2nds, 3rds, 6ths, and 7ths come in major and minor versions.

Perfect Group
P1 · P4 · P5 · P8
Can be augmented (larger) or diminished (smaller), but never major or minor.
Major / Minor Group
2nd · 3rd · 6th · 7th
Come in major and minor forms. Can also be augmented or diminished.
Reference

Intervals by Half Steps

A complete reference table showing every interval from unison to octave with the exact number of half steps (semitones).

Complete Interval Reference

Half StepsInterval NameExample from CSound Character
0Perfect Unison (P1)C → CSame note
1Minor 2nd (m2)C → D♭Tense, dissonant
2Major 2nd (M2)C → DBright step
3Minor 3rd (m3)C → E♭Sad, dark
4Major 3rd (M3)C → EHappy, bright
5Perfect 4th (P4)C → FOpen, strong
6Tritone (A4/d5)C → F♯/G♭Unstable, restless
7Perfect 5th (P5)C → GOpen, powerful
8Minor 6th (m6)C → A♭Bittersweet
9Major 6th (M6)C → AWarm, sweet
10Minor 7th (m7)C → B♭Bluesy, expectant
11Major 7th (M7)C → BDreamy, tense
12Perfect Octave (P8)C → CComplete, same pitch class
Staff Examples

Common Intervals on the Staff

Visual reference for how key intervals look on the treble clef staff. All examples start from C4.

Minor 3rd — C to E♭ (3 half steps)

𝄞 C4 E♭4 m3

Perfect 4th — C to F (5 half steps)

𝄞 C4 F4 P4

Perfect 5th — C to G (7 half steps)

𝄞 C4 G4 P5

Perfect Octave — C4 to C5 (12 half steps)

𝄞 C4 C5 P8
Major Keys

Intervals in Different Major Keys

Intervals are not tied to C major — they work identically in every key. The distance in half steps stays the same; only the letter names change. Here are the intervals built from the root of several major keys.

Why this matters: A Major 3rd is always 4 half steps, whether it's C→E, G→B, D→F♯, or F→A. Understanding intervals in multiple keys trains your ear and your reading ability beyond just the "white keys."

Color Legend
● Perfect● Major● Minor
Minor intervals are one half step smaller than major. An accidental (♭ or ♮) is placed in front of the note to lower it.
Accidentals Used
♭ flat · ♮ natural
If the note is natural in the key, add ♭ to make it minor. If the note already has ♯ in the key signature, use ♮ instead.

G Major — All Intervals from G (1♯)

𝄞 GP1 A♭m2 AM2 B♭m3 BM3 CP4 DP5 E♭m6 EM6 F♮m7 F♯M7 GP8

D Major — All Intervals from D (2♯)

𝄞 DP1 E♭m2 EM2 F♮m3 F♯M3 GP4 AP5 B♭m6 BM6 C♮m7 C♯M7 DP8

F Major — All Intervals from F (1♭)

𝄞 FP1 G♭m2 GM2 A♭m3 AM3 B♭P4 CP5 D♭m6 DM6 E♭m7 EM7 FP8

A Major — All Intervals from A (3♯)

𝄞 AP1 B♭m2 BM2 C♮m3 C♯M3 DP4 EP5 F♮m6 F♯M6 G♮m7 G♯M7 AP8

All Intervals — Quick Comparison Across Keys

Keym2M2m3M3P4P5m6M6m7M7P8
C MajorC→D♭C→DC→E♭C→EC→FC→GC→A♭C→AC→B♭C→BC→C
G MajorG→A♭G→AG→B♭G→BG→CG→DG→E♭G→EG→F♮G→F♯G→G
D MajorD→E♭D→ED→F♮D→F♯D→GD→AD→B♭D→BD→C♮D→C♯D→D
F MajorF→G♭F→GF→A♭F→AF→B♭F→CF→D♭F→DF→E♭F→EF→F
A MajorA→B♭A→BA→C♮A→C♯A→DA→EA→F♮A→F♯A→G♮A→G♯A→A

The Pattern: No matter what key you're in, a Major 3rd is always 4 half steps and a minor 3rd is always 3 half steps. A Perfect 5th is always 7 half steps. The letter names and accidentals change, but the distance in half steps stays the same. Notice how sharp keys use ♮ (natural) to lower sharped notes, while flat keys add ♭ (flat) to natural notes — both achieve the same result: reducing the interval by one half step.

Ear Training

Consonance & Dissonance

Intervals are traditionally grouped by how "stable" or "tense" they sound when played harmonically.

Consonance vs Dissonance Spectrum

CategoryIntervalsCharacter
Perfect ConsonanceP1, P5, P8Stable, open, resolved
Imperfect Consonancem3, M3, m6, M6Pleasant, warm, sweet
Mild DissonanceM2, m7Slightly tense but functional
Sharp Dissonancem2, M7Very tense, wants to resolve
AmbiguousP4, TritoneContext-dependent — can sound either way

Tip: The perfect 4th is unique — it's consonant in melody and most contexts, but considered dissonant when it's the lowest interval in a chord. The tritone (augmented 4th / diminished 5th) was historically called "diabolus in musica" (the devil in music) because of its extreme instability.

Practice

Song Mnemonics for Ear Training

A popular way to learn intervals by ear is to associate each one with the opening of a well-known song.

m2

Minor 2nd ↑

Think of the suspenseful two-note motif from the movie "Jaws."

M2

Major 2nd ↑

The first two notes of "Happy Birthday" — a bright whole step up.

m3

Minor 3rd ↑

The opening of "Greensleeves" — a gentle, melancholic rise.

M3

Major 3rd ↑

The start of "When the Saints Go Marching In" — bright and cheerful.

P4

Perfect 4th ↑

"Here Comes the Bride" (Bridal Chorus) — a strong, open leap.

TT

Tritone ↑

"The Simpsons" theme opens with this distinctive, quirky interval.

P5

Perfect 5th ↑

The opening of "Twinkle Twinkle Little Star" — open and powerful.

m6

Minor 6th ↑

"The Entertainer" (Scott Joplin) — a bittersweet, wide leap.

M6

Major 6th ↑

"My Bonnie Lies Over the Ocean" — a warm, sweeping rise.

m7

Minor 7th ↑

The first two notes of the "Star Trek" original theme — bold and expectant.

M7

Major 7th ↑

"Take On Me" (A-ha) — the dreamy, wide leap in the chorus.

P8

Octave ↑

"Somewhere Over the Rainbow" — the iconic, soaring opening leap.

Summary

Tips for Identifying Intervals

Quick strategies to build speed and accuracy when recognizing intervals.

1

Count Letter Names

Always count inclusively. C to G: C(1) D(2) E(3) F(4) G(5) = a 5th. This gives you the interval number.

2

Use the Major Scale

All intervals from the root of a major scale are either major or perfect. Anything smaller is minor or diminished.

3

Count Half Steps

When in doubt, count semitones on a keyboard. This gives you the exact quality: M3 = 4, P5 = 7, etc.

4

Inversion Shortcut

An interval and its inversion always add up to 9. A 3rd inverts to a 6th, a 2nd to a 7th. Major inverts to minor, perfect stays perfect.

Inversion Rule: To invert an interval, subtract the number from 9. Quality flips: Major ↔ Minor, Augmented ↔ Diminished, Perfect stays Perfect. Example: M3 inverts to m6, P4 inverts to P5.

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