In my previous post on the Pythagorean Comma, I wanted to provide slow-moving illustrations that would give the listener enough time to judge each interval traversed. Here I’d like to provide a simpler and faster-moving example. You’ll hear a rapid sequence of ascending fifths and descending octaves, starting on C and reaching B# an octave above, which is then contrasted with the initial C. These starting and ending notes will agree in equal temperament but will differ by a pythagorean comma if the fifths throughout the sequence are tuned justly.
Equal Temperament:
[audio http://rudiseitz1.files.wordpress.com/2013/12/pythagoreancommashort12et.mp3]
Pure Intervals:
[audio http://rudiseitz1.files.wordpress.com/2013/12/pythagoreancommashort.mp3]