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Building Triads from Scale Degrees

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Constructing Natural Minor ScalesDetermining Interval Quality by Semitone Count+2 more→→Building Diatonic Chords from ScalesPrimary Harmonic Functions: Tonic, Subdominant, Dominant+1 more
triads harmony scale-degrees diatonic

Core Idea

Triads (three-note chords) can be built on each scale degree using every other note of the scale. In major keys, the triads on I, IV, and V are major; on ii, iii, and vi are minor; and on vii° is diminished. In minor keys, the pattern differs based on which form of minor scale is used. Understanding this system reveals the harmonic foundation of a key.

How It's Best Learned

Build all seven triads in a major key on staff paper. Play them on an instrument. Identify the quality of each (major, minor, diminished). Repeat for minor keys.

Common Misconceptions

Students sometimes forget that triads use non-consecutive pitches (skipping every other scale degree). Another error: applying major-key triad qualities to minor keys without accounting for the different interval structure.

Explainer

A triad is a three-note chord built by stacking intervals of a third — that is, by taking every other note of a scale. From your work with major and minor scale construction and interval quality counting, you have all the tools needed to build and identify every triad in a key. The key insight is that when you stack thirds using only the notes of a given scale, the resulting triads inherit the scale's interval structure, which means different scale degrees produce triads of different qualities.

Let's work through C major. On scale degree 1 (C), take C–E–G: C to E is a major third (4 semitones), E to G is a minor third (3 semitones). A major third stacked below a minor third = a major triad. On scale degree 2 (D), take D–F–A: D to F is a minor third (3 semitones), F to A is a major third (4 semitones). Minor third below + major third above = minor triad. On scale degree 7 (B), take B–D–F: B to D is a minor third, D to F is a minor third. Two stacked minor thirds = diminished triad. You don't need to memorize that "vii is diminished" — you can derive it from counting semitones. But after doing this enough times in enough keys, the pattern becomes automatic: I–ii–iii–IV–V–vi–vii° for major keys.

The minor key case is more complex because the natural minor scale produces a different interval pattern, yielding a different set of triad qualities: i–ii°–III–iv–v–VI–VII (in natural minor). The critical difference from major is the v chord: in natural minor, the chord on scale degree 5 is a *minor* triad rather than a major one. This matters because the dominant-to-tonic resolution that defines functional harmony depends on the leading tone — the note a half step below the tonic that creates strong upward pull. Natural minor's fifth scale degree does not contain the leading tone; it contains the subtonic (a whole step below the tonic) instead. When composers want a strong authentic cadence in a minor key, they typically raise the seventh scale degree to create a major V chord, which is why the harmonic minor scale exists.

The practical workflow for triad construction is: (1) identify the root (the scale degree you're building on), (2) take the scale note a third above (skip one scale note), (3) take the scale note a fifth above the root (skip another scale note). The resulting notes are all diatonic — no accidentals needed beyond what the key signature supplies. Count the semitones between root and third, and between third and fifth, to identify the quality. Over time, this process should become fast enough that building all seven triads in a key takes under a minute — the foundation for everything in harmony that follows.

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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 → Accidentals: Sharps, Flats, and Naturals → Semitones and Whole Steps: Interval Building Blocks → Intervals: Half Steps, Whole Steps, and Interval Numbers → Interval Counting and Naming → Interval Quality: Major, Minor, Perfect, Augmented, Diminished → Major Scales → Triads: Major, Minor, Diminished, Augmented → Triad Construction: Major, Minor, and Diminished → Augmented Triads and Extended Harmony → Building Triads from Scale Degrees

Longest path: 88 steps · 474 total prerequisite topics

Prerequisites (4)

Leads To (3)