http://www.timestar.org/ccbarbury.htm

Four Euclidean rules that Hawkins identified in 12 of 19 crop circles enabled him to derive a fifth rule that Euclid had not expressed but was a logical extension of the first four. Hawkins appealed to the teachers and students who read Mathematics Teacher magazine to ask if anyone knew of published reference to a fifth rule derived from the four Euclidean theorems he had identified in 12 of 19 crop circles he had studied. None of the teachers and students who read Mathematics Teacher knew of any reference Euclid had made to such a theorem. A crop circle demonstrating the fifth rule Hawkins had derived from earlier crop circles was made the next year.

These ratios can be translated into musical notes and scales using Pythagoras' musical theory of the Lambdoma, a multiplication and division table that is the basis of diatonic scales used in Western music. Pythagorean theorems in crop circles point back to an era when the olden gods taught the mathematical foundations of Western civilization to Pythagoras. Reaching back 2,600 years into history, the timeless principles Pythagoras taught are renewed in crop circles.

Pythagoras spoke of different sorts of music to which the Lambdoma's ratios could be applied. Musica instrumentalis is the ordinary music made by playing the seven-string ancestor of the guitar the Pythagorean's invented; musica humana, is the music made by the human organism, especially the resonance between soul and body beyond the range of human hearing; and musica mundana, is the music of the cosmos, which would come to be known as the music of the spheres.

The basis of the Music Of The Spheres, according to Pythagoras, is that all matter vibrates and vibration produces sound that could be heard if were within the range of human hearing or perception. The Pythagoreans used mathematics to train the mind and sensitize perception to attune to the Ideal that Pythagoras postulated.