Tuning & Temperament
Equal Temperament: What It Costs and What It Buys
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.
Search
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
Tuning & Temperament
Meantone and Well Temperament: Why Keys Used to Sound Different
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
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.
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.
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
Just Intonation, Beating and Why Intervals Sound in Tune
Pure intervals come from small whole-number ratios, and beating is what stops them sounding pure. What just intonation gives, and what it cannot fix.
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.
Acoustics & Sound
Timbre and Overtones: Why the Same Note Sounds Different
Timbre is the shape of a note's spectrum: which partials are present, how strong they are and how the sound begins. Here is why a clarinet, a flute and a piano differ on the same pitch.
Rhythm & Meter
Swing Timing: What the Notation Does Not Say
Jazz notation asks for swing and leaves the ratio to the players, because the timing is tempo-dependent and a fixed written value would be wrong at most speeds.
Partial match: some of your words are not in this article.
Counterpoint
Parallel Fifths and Octaves: Why the Rule Exists
Parallel fifths and octaves are voices that move together and keep a perfect interval. Here is why strict voice leading forbids them and where the rule bends.
Partial match: some of your words are not in this article.
Harmony
The ii V I Progression in Major, Minor and Jazz Styles
Why ii V I is the backbone of tonal music: voice leading, turnarounds, minor-key forms, and the jazz reharm toolkit.
Partial match: some of your words are not in this article.
Rhythm & Meter
Polyrhythm and Cross-Rhythm: Counting the Distinction
Polyrhythm, cross-rhythm and polymeter are not interchangeable. Counting the ratios shows what separates a divided span from a pattern set against a metre.
Partial match: some of your words are not in this article.
Fundamentals
Tempo Markings Explained: Largo to Presto in Beats per Minute
Italian tempo words run from slow to fast. Approximate beats-per-minute bands for each, the modifiers and transitions that change them, and why a metronome number needs a time signature.
Partial match: some of your words are not in this article.
Rhythm & Meter
Odd Meters in 5/4 and 7/8: Counting, Feeling, Writing
Hear 5/4 and 7/8 as beat groups, not math: counting systems, conducting, repertoire from Brubeck to Balkan dance.
Partial match: some of your words are not in this article.
Music History
From Ars Nova to the Renaissance: How Notation Changed Music
Rhythm took two centuries longer than pitch to notate. Mensural notation solved it with ratios, and the Renaissance then replaced black ink with white.
Partial match: some of your words are not in this article.
Rhythm & Meter
Meter, Beat Hierarchy and Hypermeter in Performance
Meter is a pattern of strong and weak positions, not a time signature: how it is built, how it stretches past the bar, and where performance contradicts it.
Partial match: some of your words are not in this article.
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.
Partial match: some of your words are not in this article.
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.
Partial match: some of your words are not in this article.
Songwriting & Composition
Common Chord Progressions: Loops, Numerals and Why They Work
The chord loops that songwriters reuse most, in Roman numerals and in the keys of C and G, with the reasons they work and how to vary them.
Partial match: some of your words are not in this article.
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.
Partial match: some of your words are not in this article.
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.
Partial match: some of your words are not in this article.
Harmony
Harmonic Sequences and Circle Progressions That Modulate
Descending fifths, ascending 5-6 patterns, Pachelbel loops: how sequences work, when they modulate, and how to write them.
Partial match: some of your words are not in this article.
Orchestration
Woodwind Doubling and Balance in Orchestral Writing
Which woodwind doublings blend and which stick out: unisons, octaves, registers, dynamics, and practical balance.
Partial match: some of your words are not in this article.
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.
Partial match: some of your words are not in this article.
Orchestration
Voicing a String Quartet: Registers, Doublings, Weight
The quartet is four registers, not four violins. What each instrument can sustain, where the texture muddies, and which double stops lie under the hand.
Partial match: some of your words are not in this article.
Harmony
Voice Leading: Why the Rules Exist in Four-Part Writing
Parallel fifths, tendency tones, spacing and doubling, read as solutions to one problem: keeping four lines heard as four lines.
Partial match: some of your words are not in this article.