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Consonance and Dissonance in Harmony

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Determining Interval Quality by Semitone Count→→Consonant and Dissonant IntervalsVoice Leading: Smooth Motion and Common Errors
intervals consonance dissonance harmonic-function

Core Idea

Consonant intervals (unison, octave, perfect fourth, perfect fifth, major/minor third, major/minor sixth) sound stable and require no resolution. Dissonant intervals (major/minor second, major/minor seventh, tritone) sound tense and typically resolve to consonant intervals. This distinction between tension and resolution is fundamental to harmonic progression and voice leading.

Explainer

From your work on interval quality and semitone counts, you can already identify any interval by its size and quality — you know that a major seventh spans eleven semitones and a perfect fifth spans seven. Consonance and dissonance take that knowledge one step further: they tell you what those intervals *do* to a listener and how they behave in musical time.

Consonance describes intervals that sound stable, complete, and self-sufficient. When you play a perfect fifth (C and G, seven semitones), nothing about the sound demands continuation — it could end there. The same is true of thirds and sixths, which give tonal music its warm, "in tune" quality. Dissonance describes intervals that sound tense, incomplete, and unstable. Play a major seventh (C and B, eleven semitones) and you immediately feel a pull toward resolution — the B wants to move up to C, or C wants to move down to B, collapsing the gap into a unison or octave. The most extreme dissonance in Western tonal music is the tritone (augmented fourth / diminished fifth, six semitones, like C and F#): it splits the octave exactly in half and generates maximum instability. Medieval theorists called it *diabolus in musica* — the devil in music — because its restless quality is so difficult to ignore.

The physics of consonance involves the overtone series: when a string vibrates at a fundamental frequency, it also vibrates at integer multiples — the 2nd harmonic (octave), 3rd harmonic (fifth), 4th, 5th (major third), and so on. Intervals that appear early in the overtone series are consonant because the two pitches share more overtones and "fit" together acoustically. Intervals appearing later in the series — or not at all — generate more acoustic friction. This is why perfect intervals feel purest and thirds feel sweeter than seconds.

What makes this genuinely musical — not just acoustic — is that dissonance has function: it creates the expectation of resolution, and resolved dissonance is the engine of tonal harmony. The classic example is the dominant seventh chord (C–E–G–B♭ in G major): it contains both a tritone (between B and F) and a minor seventh, stacking two dissonances that urgently demand resolution to the tonic chord. The tritone wants to resolve inward to the tonic's third and fifth; the seventh wants to step down. When the chord resolves, the tension releases. This cycle of tension and resolution — dissonance sought and dissolved — is what gives tonal music its sense of motion, arrival, and meaning. Understanding consonance and dissonance is not just labeling intervals; it's understanding why music feels like it goes somewhere.

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Prerequisite Chain

Understanding Zero → The Number Zero → Counting to Five → Counting to 10 → Counting to 20 → Counting a Set of Objects Up to 20 → Cardinality: The Last Number Counted → Matching Numerals to Quantities → Subitizing Small Quantities → Addition Within 10 → Number Bonds to 10 → Addition Within 20 → Doubles and Near Doubles → Doubles Facts Within 10 → Near Doubles Facts Within 20 → Mental Math Strategies for Addition → Mental Math: Adding and Subtracting Tens → Addition Within 100 → Repeated Addition as Multiplication → Multiplication as Equal Groups → Multiplication: Arrays → Basic Multiplication Facts (0s, 1s, 2s, 5s, 10s) → Multiplication Facts Within 100 → Division as Equal Sharing → Division as Grouping (Measurement Division) → Division: Grouping (Repeated Subtraction) Model → Division: Fair Sharing Model → Division as Equal Sharing → Division as Grouping → Basic Division Facts → Division Facts Within 100 → Multiplication and Division Fact Families → Relationship Between Multiplication and Division → Division Facts as Inverse of Multiplication → Remainders and Quotients in Division → Division Word Problems → Multi-Step Word Problems → Solving Multi-Step Word Problems → Multiplication Word Problems → Division Word Problems → Introduction to Long Division → Factors and Multiples → Prime and Composite Numbers → Equivalent Fractions → Relating Fractions and Decimals → Decimal Place Value → Integers and the Number Line → Comparing and Ordering Integers → Absolute Value → Adding Integers → Subtracting Integers → Multiplying Integers → Dividing Integers → Unit Rates → Proportions → Percent Concept → Converting Between Fractions, Decimals, and Percents → Operations with Rational Numbers → Two-Step Equations → Solving Multi-Step Equations → Equations with Variables on Both Sides → Literal Equations → Slope-Intercept Form → Point-Slope Form → Writing Linear Equations → Parallel and Perpendicular Line Slopes → Graphing Linear Equations → Piecewise Functions → Step Functions → Composition of Functions → Inverse Functions → Radical Functions and Graphs → Rational Exponents → Exponential Functions and Graphs → Logarithms Introduction → Pitch and Frequency → The Staff and Clefs → Note Names and Octaves → Identifying Intervals by Letter Name Counting → Determining Interval Quality by Semitone Count → Consonance and Dissonance in Harmony

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