The 12 first fifths
showing the correspondences with the zodiac, months, seasons, hours, minutes, octave, angles, etc. Notice that the names for the notes are Indian, though the tone zodiac is ancient Chinese (from the book "Music and the Power of Sound" by Alain Daniélou). The fundamental note C, Kung, is placed at December 21, the raise of Capricorn.
In this figure the order of succession of the fifths is given by the sides of the central star dodecagon. Each angle is connected by a dotted line to its upper fifth and its lower fifth. The notes that correspond to the angles of the hexagon are masculine; the notes that correspond to the middle of the sides are feminine.
Cousto has in his book, The Cosmic Octave, an interesting observation on this matter. He relates the Kung to the frequency of the Platonic Year. The duration of the Platonic Year, (The Pythagorean Great Year) is about 25,920 years and represents the amount of time the axis of the Earth takes to complete a full rotation. The vernal equinox is the point at which the equator (of Earth) intersects the ecliptic (or zodiac), which is the position of the sun at the beginning of spring - March 21th.
The vernal equinox takes an average of 2,160 years to travel through one sign of
zodiac. This period of time is known as an age. It is not possible to state
exactly when one age is ending and a new beginning, because the signs overlap to
a certain degree.
The journey of the vernal equinox through each of the 12 signs of the Zodiac
equals one great year of approx, 25,920 years. (Presently we are on the
cusp of Aquarius as the age of Pisces is ending.)
The precession of equinoxes cause in the span of
millenniums not only a change of the fixed stars inter related position, but
there have to be a shift of sign in regard to the equinoxes as well as
Solstices.
Since the (vernal) equinox takes an average of 2,160 years to travel through one
sign of zodiac, means that for 2,160 years ago, when the ancient Chinese looked
at the zodiac, the "beginning" sign in the vernal equinox was one sign
away from that it is now. Or two signs away for nearly 4,500 years ago, when the
Egyptian ISIS was known.
The Platonic Year is close to the high number of generating fifths where we come
into a cycle of 25,524 notes.
It is a wonder for me, how the ancient Chinese could be aware
of their sacred fundamental tone, Kung, to be in accordance with the Platonic
Year and choose the great rhythm of the Earth.
Cousto calculates the note of the Platonic year to be F in the Western Equal Temperament pitch, which is found in the 48th octave with a frequency of 344.12 Hz. or in the 47th. octave to be 172.06 Hz.
Calculation: 31 556 925.97(the tropical year in seconds) *
25,920 (Platonic year). Since the length (of a vibrating string, or the period
of time) is in reverse proportionality to the frequency, the length of the
Platonic year in seconds shall be the denominator. The frequency is very low, so
we will raise the frequency to the range of hearing by multiplying with the
necessary amount of octaves, e.g. 48 octaves so we arrive to 344,12 Hz. (47
octaves will be the half, 172,06 Hz.)
If we want to reach the spectrum of light, we multiply with 89
octaves which leads us to a frequency of 1/31 556 925.97 * 1/25 920 * 2 89
= 7,56 * 10 14 Hz. corresponding to a wavelength of 0.396
micrometer, which we perceive as violet near the
ultra violet. This is the color of the Platonic Year. The complementary color to
violet is yellow. Their fundamental tone was called the yellow bell.