Fundamentals
The Major Scale Formula: Whole and Half Steps Explained
The major scale is seven notes spaced whole, whole, half, whole, whole, whole, half. Here is the formula, four scales built from it, and the sharps and flats it forces.
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Type a chord symbol or a scale name and go straight to it, or search tools, glossary terms and every article. Results are ranked by where the words appear.
Articles
Harmony
Diatonic Chords in Major and Minor Keys Explained
Diatonic chords are the triads built on each scale degree from the key's own notes. Here are their qualities in major and minor, worked out in C and A.
Fundamentals
Pentatonic and Blues Scales: Patterns With a Purpose
Major and minor pentatonics plus the blues scale: the patterns, the blue notes, and why five notes carry so much melody.
Jazz & Popular Harmony
Chord-Scale Theory Explained: Which Scale Fits Which Chord
Chord-scale theory pairs each chord quality with a scale whose notes fit it. This article gives the pairings, the spellings in C, and the notes to avoid.
Fundamentals
Scale Degrees Explained: Numbers, Names and Solfège
Scale degrees number each note of a scale from its tonic, and solfège names the same positions do, re, mi. Degree names, movable and fixed do, and why degrees travel between keys.
Fundamentals
Natural, Harmonic and Melodic Minor Scales Compared
Three minor scales, three different jobs. What each form changes, why composers switch between them, and how to hear the difference.
Tuning & Temperament
Pythagorean Tuning: How Stacked Pure Fifths Build a Scale
Pythagorean tuning builds every interval from pure 3:2 fifths. Here is the seven-note scale it produces, its whole tones and semitones in cents, and the wolf fifth it leaves behind.
Fundamentals
Relative and Parallel Keys Explained: Major and Minor Partners
A major key has two close minor partners. The relative minor shares its key signature, the parallel minor shares its tonic, and each pair connects keys in a different way.
Harmony
Chord Symbols Explained: Major, Minor, Seventh and Slash Chords
A chord symbol names the root, the quality, the extra notes and the bass. Here is how to read Cmaj7, C7, Cm7, C/E and C7b9, and the notes each one contains.
Fundamentals
Church Modes From Dorian to Locrian: A Practical Guide
Dorian, Phrygian, Lydian, Mixolydian, Aeolian and Locrian explained by pattern and color, with hearing tips and modern uses.
Harmony
Roman Numeral Analysis: How to Label a Chord Progression
Roman numerals label each chord by the scale degree of its root and its quality. Here is a step-by-step method, with I vi IV V worked in C and G.
Ear Training & Practice
How to Transcribe Music by Ear: A Step-by-Step Procedure
Transcribe by ear in a fixed order: key and bass first, then chords by root and quality, then the melody by scale degree, and rhythm last.
Guitar & Fretboard
CAGED System Explained: Five Shapes That Cover the Neck
CAGED turns five open chords into movable shapes. This explains how the shapes connect, how to name a moved chord from its root string, and how to find one chord in several places.
Jazz & Popular Harmony
Chord Extensions Explained: Ninths, Elevenths and Thirteenths
Ninths, elevenths and thirteenths are chord tones stacked above the seventh. Which of them fit a chord depends on its quality, and some clash with the third.
Ear Training & Practice
Ear Training for Intervals: A Method You Can Practise Daily
Interval recognition comes faster with a method: three intervals tied to a tonic, sung before they are named, and a short daily routine you can keep.
Harmony
Functional Harmony: Tonic, Predominant, Dominant
Tonic, predominant and dominant describe what a chord does to a phrase rather than what it is. This is how the three harmonic jobs divide the work.
Fundamentals
Key Signatures and the Order of Sharps and Flats
Sharps arrive in the order F C G D A E B and flats in reverse. The order is the circle of fifths written out, one signature at a time.
Harmony
Seventh Chords and How They Resolve in Tonal Harmony
The chordal seventh falls, the leading tone rises, and the tritone at the centre of V7 resolves by step. What each diatonic seventh chord is for.
Rhythm & Meter
Time Signatures Explained: Simple, Compound and Beyond
A time signature gives beats per bar and the note value that counts as one beat. Simple meters split each beat in two, compound meters split it in three.
Orchestration
Transposing Instruments Explained: Written and Sounding Pitch
A transposing instrument sounds a different pitch from the one on the page. The intervals for common instruments, and how to transpose a part.
Form
The Twelve-Bar Blues: Form, Chord Plan and Variations
Twelve bars of 4/4 in three four-bar phrases, moving through I, IV and V. The standard plan in C and F, the quick change, the turnaround and the minor blues.
Harmony
The Neapolitan Sixth Chord: Sound, Spelling, Resolution
The flat-II chord that darkens minor keys: how the Neapolitan sixth is built, voiced, resolved, and used from Bach to Schubert.
Fundamentals
Reading Intervals at Sight: Generic and Specific
Naming an interval at sight takes two passes: count the staff positions first, then judge what the accidental does to the size.
Acoustics & Sound
The Harmonic Series: Why Octaves, Fifths and Thirds Come First
A vibrating string or air column sounds a fundamental and a set of partials at whole-number multiples of it. Here are the first sixteen, their cents, and where they differ from equal temperament.
Tuning & Temperament
What Are Cents? The Unit That Measures Small Pitch Differences
A cent is one hundredth of an equal-tempered semitone. Here is the formula, what the common intervals measure in cents, and what a tuner is showing you.
Harmony
Borrowed Chords: Modal Mixture in Practice
Mixture borrows chords from the parallel mode. What the common borrowed chords do to a phrase, how they resolve, and where labelling fails.
Harmony
Cadences: How Phrases End in Tonal Music
Authentic, half, plagal and deceptive cadences, and the real reason a close sounds strong: what happens in the bass, the top voice and the metre.
Harmony
Modulation: How a Key Change Is Confirmed
A modulation is not a chromatic chord; it is a new key confirmed by cadence. The routes into one, and how to read them off the page.
Form
Binary and Ternary Form: Dance Patterns to Art Music
Simple and rounded binary, ABA and da capo: the cadence plans that define each section and how dances grew into art forms.
Form
Rondo Form: How Refrains and Episodes Structure a Movement
Rondo form alternates a returning refrain with contrasting episodes. Learn classical key plans, sonata-rondo hybrids, and why refrains return altered.
Scales
- Major scaleThe major scale: seven notes in a whole-whole-half pattern, the bright, stable reference that every other diatonic scale is measured against.
- Double harmonic major scaleDouble harmonic major: seven notes with a flat second and flat sixth, built from two identical tetrachords, with a strongly exotic sound.
- Major pentatonic scaleMajor pentatonic: five notes taken from the major scale without the fourth and seventh, an open, consonant collection with no semitones.
Glossary
Key guides
- A major keyThree sharps · relative F♯ minor
- A♭ major keyFour flats · relative F minor
- B major keyFive sharps · relative G♯ minor
- B♭ major keyTwo flats · relative G minor
- C major keyNo sharps or flats · relative A minor
- D major keyTwo sharps · relative B minor
- D♭ major keyFive flats · relative B♭ minor
- E major keyFour sharps · relative C♯ minor