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Semitones in Pythagorean Tuning and 12 Tone Equal Temperament
Semitones in Pythagorean Tuning and 12 Tone Equal Temperament
This Demonstration focuses on the aural and numerical differences between semitones in 12-ET (12-tone equal temperament) and Pythagorean tuning. 12-ET is the system of musical tuning that is used almost universally today, dividing an octave up into twelve equal semitones. Pythagorean tuning relies on the ratio of 3:2, representing the frequencies of two notes of a perfect fifth; however, the twelfth note generated by this system does not match up with the first, as a consequence of the different methods of computing tone frequencies. As the default settings show, 12 semitones in 12-ET produces a perfect octave; 12 semitones in Pythagorean tuning does not.
If the buttons are red, the frequency to be played is either unplayable or inaudible, and playing one note while another is still sounding can result in the notes not being played correctly.