Physics · Sound & Music
Sound & Music Lab
Play a piano that names every interval, build chords and scales, then pull a sound apart into its harmonics and see the string vibrate.
The course
7 worlds · 63 lessons

World 1 · Foundations
FREEPitch, keys and the staff- 01What is pitch?High, low, and frequency · 5 min
- 02The keyboard mapWhite keys, black keys, patterns · 6 min
- 03The octaveSame note, double the frequency · 6 min
- 04The staff & note namesReading pitch on five lines · 7 min
- 05Half steps & whole stepsThe smallest distances · 7 min
- 06Sharps & flatsThe black keys, named · 6 min
- 07The twelve notesThe chromatic scale · 6 min
- 08Equal temperamentWhy the math is 2^(n/12) · 7 min
- 09Beat & rhythmMusic in time · 6 min
- 10Loud, soft & reviewDynamics + Foundations recap · 6 min
- 11One octave, half the period

World 2 · Scales & Tonality
PROMajor, minor, keys & modes- 01The major scaleW-W-H-W-W-W-H · 8 minPRO
- 02Major in any keyTransposing the recipe · 8 minPRO
- 03The circle of fifthsHow the 12 keys relate · 9 minPRO
- 04Key signaturesSharps and flats up front · 7 minPRO
- 05The sharp keysG, D, A, E and the order of sharps · 8 minPRO
- 06The flat keysF, B♭, E♭ and the order of flats · 8 minPRO
- 07The natural minor scaleThe darker recipe · 8 minPRO
- 08Relative major & minorSame notes, different home · 7 minPRO
- 09Harmonic minorRaising the 7th · 8 minPRO
- 10Melodic minorSmoothing the climb · 8 minPRO
- 11Modes: Ionian, Dorian, PhrygianSeven flavours from one scale · 9 minPRO
- 12Lydian & MixolydianBright and bluesy · 8 minPRO
- 13Locrian & the mode mapThe unstable one · 7 minPRO
- 14Pentatonic & reviewFive notes + Scales recap · 7 minPRO

World 3 · Intervals & Ear Training
PROName what you hear- 01What is an interval?The distance between two notes · 6 minPRO
- 02Interval qualityMajor, minor, perfect · 7 minPRO
- 03Consonance & dissonanceWhy some pairs clash · 8 minPRO
- 04Seconds & thirdsThe small, expressive intervals · 7 minPRO
- 05Fourths & the tritoneStability and the devil’s interval · 8 minPRO
- 06Fifths & the overtone seriesNature’s own interval · 8 minPRO
- 07Sixths & seventhsThe wide, colourful leaps · 7 minPRO
- 08Compound intervals & inversionsFlipping and stretching · 7 minPRO
- 09How to train your earReference songs & the drill loop · 7 minPRO
- 10The 13 intervals — reviewUnison to octave · 7 minPRO

World 4 · Chords & Harmony
PROTriads, 7ths & progressions- 01What is a chord?Stacking thirds into triads · 7 minPRO
- 02Major & minor triadsWhere the mood lives · 7 minPRO
- 03Diminished & augmentedThe tense triads · 7 minPRO
- 04Suspended chordsRemoving the third · 6 minPRO
- 05Chord inversionsSame chord, new bass · 7 minPRO
- 06Major seventh chordsAdding the 7th · 7 minPRO
- 07Dominant seventh chordsThe engine of tension · 8 minPRO
- 08Minor seventh chordsSmooth and mellow · 7 minPRO
- 09Half- & fully-diminished 7thsThe darkest colours · 8 minPRO
- 10Ninths & extensionsBeyond the seventh · 7 minPRO
- 11Roman-numeral analysisChords by scale degree · 8 minPRO
- 12The I–IV–V progressionThe backbone of everything · 7 minPRO
- 13The vi & the pop progressionI–V–vi–IV · 7 minPRO
- 14CadencesMusical punctuation · 7 minPRO
- 15Voice leadingMoving chords smoothly · 8 minPRO
- 16Build a progression — reviewPutting it all together · 8 minPRO

World 5 · Rhythm & Meter
PRONote values, meter & the tap-along drill- 01Note values & restsHow long is a note? · 6 minPRO
- 02Simple meter2/4, 3/4, 4/4 — the beat you tap · 6 minPRO
- 03Compound meter6/8 — a beat made of three · 7 minPRO
- 04Dotted notes & tiesExtending a note's length · 6 minPRO
- 05SyncopationAccenting the off-beat · 7 minPRO
- 06Swing feelNotation vs. how it's actually played · 7 minPRO

World 6 · Build a sound from sine waves
PROFinite Fourier series, spectrum and phase
World 7 · From samples to a spectrum
PRODiscrete transform, phase, filtering and aliasingRead first
All guides →Guides for Sound & Music Lab
ExplainerElectronics & ArduinoOhm’s Law Explained: Voltage, Current and LED ResistorsLearn what voltage, current and resistance mean, how Ohm’s law links them, and how to pick the resistor that protects an LED. Includes a live 3D circuit lab.
ExplainerSound & Music LabPitch, Octaves and the Twelve Notes: How Music WorksWhy pitch is frequency, why an octave doubles it, how twelve equal steps divide that octave, and how beat and tempo organise time. With a live sound lab.