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Major Scales

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Accidentals and Enharmonic EquivalentsIntervals: Half Steps, Whole Steps, and Interval Numbers+3 more→→Borrowed Chords (Modal Mixture)Building Diatonic Chords from Scales+18 more
scales major whole step half step W-W-H-W-W-W-H

Core Idea

A major scale is a seven-note sequence built from a specific pattern of whole steps (W) and half steps (H): W-W-H-W-W-W-H. Starting on any pitch and following this pattern produces the major scale for that key. The characteristic sound of a major scale — bright and stable — results from this interval pattern, particularly the major third above the root and the leading tone one half step below the octave. Every major scale contains exactly seven distinct letter names, each appearing once.

How It's Best Learned

Build major scales by applying the W-W-H-W-W-W-H formula starting on each note. Cross-check each note against the correct key signature. Play and sing scales on an instrument, listening for the characteristic 'do-re-mi' sound.

Common Misconceptions

Explainer

When you learned about intervals, you discovered that the distance between two pitches can be measured in whole steps and half steps. A major scale takes that idea and commits to a single repeating recipe: W-W-H-W-W-W-H. This seven-step pattern, applied starting on any pitch, produces the major scale rooted on that pitch.

Try building the C major scale, which uses only white keys on a piano: C–D (W)–E (W)–F (H)–G (W)–A (W)–B (W)–C (H). The half steps fall between steps 3–4 (E–F) and 7–8 (B–C) — the only natural half steps on the keyboard. The "bright" quality people associate with major scales comes directly from this pattern: the wide major third from scale degree 1 to 3, and the leading tone (scale degree 7) sitting just a half step below the octave, creating a strong pull back to the root.

When you move to a key with sharps or flats, the pattern forces you to alter notes to maintain the correct steps. For G major: G–A (W)–B (W)–C (H)–D (W)–E (W)–F♯ (W)–G (H). F must become F♯ so the seventh step is a whole step above E, leaving a final half step to the octave. Every key with a different starting pitch requires a different set of accidentals to preserve W-W-H-W-W-W-H — which is exactly what key signatures encode.

A crucial spelling rule follows: every letter name must appear exactly once. The F♯ major scale cannot be written with two F's (e.g., ending on F instead of E♯). Even though E♯ sounds identical to F on a piano, the correct spelling is E♯ because the seventh scale degree must be an E, and raising it to a whole step above D♯ gives E♯. This is not a technicality to dismiss — correct spelling is essential for reading notation, understanding key signatures, and eventually working with chords and harmony.

Major scales are the scaffolding on which nearly all of Western tonal music rests. Once you can construct any major scale from any starting note using W-W-H-W-W-W-H, you have the foundation for key signatures, diatonic chords, minor scales, and eventually modes — each of which modifies or extends this core pattern.

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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

Longest path: 84 steps · 467 total prerequisite topics

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