Ὁ Πενταμετρικὸς Κύκλος – The Pentametric Cycle
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Composer

Turn any list of numbers into music. Each number n is sent through the formula to its residue H(n), which becomes silence, a unison, an octave, a fifth or a fourth above a root note. Listen in just intonation, then download the result as a MIDI file to open in any music software.

Numbers

Type or paste any whole numbers, separated by commas or spaces.

Sound

The tuning is used here and in the MIDI file. MIDI notes are equal-tempered, so the file gives each sounding note its own channel with a pitch bend (range ±2 semitones, set in the file), and any General MIDI synthesizer plays the tuning. The cycle's own ratios are measured from the root; the 12-note tunings are measured from the root as tonic, so in Pentametric fifths the fourth above the root is reached by eleven fifths up and sounds 21.5 cents high.

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