User:Guy vandegrift/Lectures/Just and equal tuning

Lifted and modified from Special:Permalink/797723042 and stored here for educational purposes.
 * See also User:Guy vandegrift/Lectures

Audio examples
This was lifted from Special:Permalink/795297653

A pair of major thirds, followed by a pair of full major chords. The first in each pair is in equal temperament; the second is in just intonation. Piano sound.


 * Other examples:


 * An A-major scale, followed by three major triads, and then a progression of fifths in just intonation.


 * An A-major scale, followed by three major triads, and then a progression of fifths in equal temperament. By listening to the above file, and then listening to this one, one might be able to hear the beating in this file.


 * A pair of major chords. The first is in equal temperament; the second is in just intonation. The pair of chords is repeated with a transition from equal temperament to just temperament between the two chords. In the equal temperament chords a roughness or beating can be heard at about 4 Hz and about 0.8 Hz. In the just intonation triad, this roughness is absent. The square waveform makes the difference between equal and just temperaments more obvious.

External link
Bach used the tritone in measure 9 of the Allemande of his Cello suite #2: https://www.youtube.com/watch?v=Q0hJWUpiE5w