Fundamentals
Scientific Pitch Notation: What C4 Actually Means
Middle C is C4 in scientific pitch notation, C3 on some manufacturers' labelling, and MIDI note 60 in every sequencer. The numbering is a convention.
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Fundamentals
Middle C is C4 in scientific pitch notation, C3 on some manufacturers' labelling, and MIDI note 60 in every sequencer. The numbering is a convention.
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.
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.
Acoustics & Sound
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
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.
Counterpoint
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.
Acoustics & Sound
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.
Orchestration
A playable range and a usable register are different facts. Transposition arithmetic, endurance, doubling, and the notes that are another instrument.
Tuning & Temperament
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.
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.
Harmony
Parallel fifths, tendency tones, spacing and doubling, read as solutions to one problem: keeping four lines heard as four lines.