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.
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.
Fundamentals
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.
Guitar & Fretboard
A capo raises every open string by one semitone per fret, so a G shape played at fret 2 sounds in A. This shows how to find the sounding key and how to choose a capo position.
Harmony
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
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.
Tuning & Temperament
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.
Fundamentals
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
Three minor scales, three different jobs. What each form changes, why composers switch between them, and how to hear the difference.
Harmony
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.
Harmony
Why ii V I is the backbone of tonal music: voice leading, turnarounds, minor-key forms, and the jazz reharm toolkit.
Fundamentals
Naming an interval at sight takes two passes: count the staff positions first, then judge what the accidental does to the size.
Harmony
Mixture borrows chords from the parallel mode. What the common borrowed chords do to a phrase, how they resolve, and where labelling fails.
Fundamentals
Dorian, Phrygian, Lydian, Mixolydian, Aeolian and Locrian explained by pattern and color, with hearing tips and modern uses.
Harmony
Replace any dominant with the dominant a tritone away: why subV7 works, how it smooths bass lines, and where jazz standards hide it.
Harmony
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.
Harmony
A secondary dominant makes any chord a temporary tonic. How to spell one, where it turns up, and what cancels the effect.
Fundamentals
Major and minor pentatonics plus the blues scale: the patterns, the blue notes, and why five notes carry so much melody.
Tuning & Temperament
Quarter-comma meantone, the wolf fifth and the well temperaments in between: what keyboard tuning did to each key before equal temperament settled the argument.
Tuning & Temperament
Twelve equal semitones solve the problem pure intervals create. The cost is small in fifths, large in thirds, and paid by every fixed-pitch instrument.
Partial match: some of your words are not in this article.
Ear Training & Practice
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.
Partial match: some of your words are not in this article.
Harmony
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.
Partial match: some of your words are not in this article.
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.
Partial match: some of your words are not in this article.
Jazz & Popular Harmony
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.
Partial match: some of your words are not in this article.
Jazz & Popular Harmony
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.
Partial match: some of your words are not in this article.
Songwriting & Composition
Put chord tones on strong beats, approach tension notes by step, and keep the line singable. A worked melody over C, G, Am and F shows each choice.
Partial match: some of your words are not in this article.
Rhythm & Meter
Each note value is half the one above it. Whole to sixteenth notes and their rests, plus how dots, ties and beams change what you count.
Partial match: some of your words are not in this article.
Tuning & Temperament
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.
Partial match: some of your words are not in this article.
Jazz & Popular Harmony
Shell and rootless voicings keep the third and seventh of each chord and leave room for a bass player. Worked examples use Dm7, G7 and Cmaj7.
Partial match: some of your words are not in this article.
Guitar & Fretboard
Every fret is one semitone, so the fretboard is a grid of note names. This covers standard tuning, the landmark frets and a two-week routine for learning the whole neck.
Partial match: some of your words are not in this article.
Rhythm & Meter
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.
Partial match: some of your words are not in this article.
Counterpoint
Species counterpoint isolates one compositional decision at a time. First species isolates the hardest one: how to make two voices sound like two voices.
Partial match: some of your words are not in this article.