The Mudcat Café TM
Thread #134034   Message #3045987
Posted By: josepp
03-Dec-10 - 10:23 PM
Thread Name: BS: Fun with music theory
Subject: RE: BS: Fun with music theory
Musical frequencies are quite astonishing when relating to phi or to astronomy. While A=440 cycles is the accepted international standard since 1939, classical musicians hate it and prefer the original standard of A=432. 432 is a sacred number in Hinduism and mathematically expresses the Pythagorean tetraktys. The A an octave higher is 864 cycles which approximates the diameter of the sun in miles (864 000) and the number of seconds in a day (86 400). A an octave lower than 432 is 216. The moon is 2160 miles in diameter and one zodiacal month of a Great Year (the length of time for one wobble of the earth on its axis) is 2160 years.

A perfect 4th above A=432 is D=288. D an octave lower is 144, another sacred number which has great significance in the Christian Apocalypse. In astronomy there are 72 quinaries in the zodiac (144/2) and 12 zodiacal constellations (square root of 144). 144 is also the 12th term of the Fibonacci Sequence (1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144).

A perfect 5th above A=432 is E=648. Dropped two octaves, E=648 becomes E=162 and Phi, as we remember, is 1.618 or 1.62 if one prefers to round off (IOW, we are multiplying 432 by 3/8 and both 3 and 8 are Fibonacci numbers).

A major 3rd from A=432 is C#=270 which, when raised two octaves, is 1080 (that is, we multiply 432 by the Fibonacci ratio of 5/2). The moon is 1080 miles in radius. An octave lower is 540 and the square root of that is 23, the number of degrees the earth is tilted on its axis. 540 is also the total number of degrees in a pentagon (108 x 5). 540 is numerologically the same as 5040 which is the radius of the earth, 3960 miles, added to the radius of the moon, 1080 miles and is also, astonishingly enough, encoded into the Great Pyramid in Egypt.