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Music Theory

Consonant and Dissonant Intervals

An interval is consonant when its two notes sound stable and pleasant together. It is dissonant when they create tension that asks to be resolved. This classification is basic to harmony and counterpoint. For a review of the basics, see the guide to musical intervals.

Full chart: classification of all the intervals

IntervalHalf steps (UK: semitones)Classification
Perfect unison0Perfect consonance
minor 2nd1Strong dissonance
Major 2nd2Strong dissonance
minor 3rd3Imperfect consonance
Major 3rd4Imperfect consonance
Perfect 4th5Perfect consonance
Tritone (Augmented 4th / Diminished 5th)6Semi-consonance (conditional dissonance)
Perfect 5th7Perfect consonance
minor 6th8Imperfect consonance
Major 6th9Imperfect consonance
minor 7th10Strong dissonance
Major 7th11Strong dissonance
Perfect octave12Perfect consonance

Consonances

Perfect consonances

These are the most stable intervals: the unison, the perfect 4th, the perfect 5th and the perfect octave. They are called perfect because their quality is always "perfect" (never major or minor), and because their inversions are also perfect intervals (4th ↔ 5th, unison ↔ octave). They are also the first intervals of the natural harmonic series. In classical counterpoint, perfect consonances serve as points of rest.

One practical exception: the perfect 4th is treated as a dissonance when it appears between the bass and an upper voice. In that case it asks to be resolved, usually to a 3rd.

Imperfect consonances

These are the major 3rd, minor 3rd, major 6th and minor 6th. They sound pleasant and stable, but with more "color" than the perfect ones. Their inversion changes quality (major ↔ minor), and in counterpoint they are the most used intervals for creating warm harmony. Imperfect consonances are the building blocks of triads.

Semi-consonance: the tritone

The augmented 4th and the diminished 5th are the same interval (6 half steps) written in two different ways: the tritone. It divides the octave exactly in half and has maximum tension, so it asks for resolution. It has long been nicknamed diabolus in musica ("the devil in music") because of its instability.

Traditional theory books call this category semi-consonance (or conditional dissonance). Mind the enharmony: F♯–C (a diminished 5th) and G♭–C (an augmented 4th) sound the same and are the same 6-half-step tritone. Changing the spelling changes the name of the interval, not its sound.

Dissonances

Strong dissonances

These are the major 2nd, minor 2nd, major 7th and minor 7th. They create tension that asks for resolution, whatever the context. In classical counterpoint, dissonances are carefully prepared or approached and then resolved, usually by step. Far from being "bad", they drive tonal music forward: the dominant seventh chord (V7) contains a minor 7th and a tritone, and its resolution to the tonic is the strongest cadence in the key.

Conditional dissonances

These are the semi-consonances: the augmented 4th and the diminished 5th, that is, the tritone. However it is spelled (F♯–C or G♭–C), it sounds the same and asks for resolution. This double reading of the tritone is also the basis of many enharmonic modulations in Romantic music.

Exercises

To practice: consonant and dissonant intervals exercises.

Frequently Asked Questions

Which intervals are perfect consonances?
The unison, the perfect 4th, the perfect 5th and the perfect octave. They are called perfect because their quality is always perfect and their inversions are also perfect, and they are the most stable intervals in harmony.
Which intervals are imperfect consonances?
The major 3rd, minor 3rd, major 6th and minor 6th. Their inversion changes quality (major ↔ minor), and although they sound pleasant, they are less stable than the perfect consonances.
Which intervals are dissonant?
The major and minor 2nds and the major and minor 7ths are strong dissonances. The augmented 4th and the diminished 5th (the tritone) are conditional dissonances (semi-consonances): they are the same 6-half-step interval written two ways, and changing the spelling does not change the sound.
Why can a perfect 4th sound dissonant?
The perfect 4th is a perfect consonance in theory, but in strict counterpoint it is treated as a dissonance when it appears between the bass and an upper voice, and it must be resolved. A 4th between upper voices is stable, but above the bass it creates tension toward the 3rd.
What is the tritone and why is it so dissonant?
The tritone (augmented 4th or diminished 5th) spans 3 whole steps and divides the octave exactly in half with 6 half steps. Its extreme instability makes it the tensest interval in tonal music. In the dominant chord (G–B–D–F), the tritone B–F is what pushes the harmony to resolve to the tonic.