Harmony
Harmonizing a Melody: How to Choose the Chords
Harmonizing a melody means choosing a chord for each strong beat that contains the melody note. This worked example uses the opening of Ode to Joy in C.
The archive
100 pieces on how music is built and how it is written down — with playable examples, tables you can check, and no filler.
♮ intro · ♯♯ intermediate · ♯♯♯♯ advanced — like key signatures, more marks means more to hold in mind
Harmony
Harmonizing a melody means choosing a chord for each strong beat that contains the melody note. This worked example uses the opening of Ode to Joy in C.
Harmony
Pedal point holds one bass note while the harmony above it changes. An ostinato repeats a short pattern. This covers the kinds of pedal, how clashes resolve, and the ground bass.
Harmony
A chromatic mediant is a triad a third from the tonic that lies outside the key. For C major the four are E♭, E, A♭ and A major, and each one shares a note with the C triad.
Harmony
The fully diminished seventh is four notes stacked in minor thirds, and the half-diminished seventh is a diminished triad with a minor seventh. This is how each one spells and resolves in C.
Rhythm & Meter
A triplet fits three notes into the time of two of the same value. This article covers the ratio, the counts and how triplets differ from compound meter.
Fundamentals
Inverting an interval moves its lower note up an octave, and the two numbers add to nine. Compound intervals are wider than an octave and take a simpler name.
Rhythm & Meter
Work out a loop’s BPM from its trimmed duration, choose the right beat unit and calculate tempo-change ratios without confusing speed with stretch.
Acoustics & Sound
Find a rectangular room’s first bass resonances, read the mode numbers and understand what a frequency list cannot tell you about your listening position.
Acoustics & Sound
Separate time sampling from amplitude precision, choose a format for a real recording task and avoid mistaking larger files for recovered audio detail.
Guitar & Fretboard
Estimate how retuning and scale length change the same string’s tension, with a Drop D example and clear limits on gauge, feel and instrument safety.
Acoustics & Sound
Budget an uncompressed audio export from seconds, sample rate, stored bits and channels, then scale it to stems without double-counting stereo.
Fundamentals
The whole-tone scale uses only whole steps, and the octatonic scales alternate whole and half steps. Here are their spellings on C and the chords they fit.

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The site's working library as a structured ebook: intervals, keys, harmony, counterpoint, rhythm, form, tuning, orchestration and the history behind them.
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