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The original "squaring of the circle" is encoded in the size of the Earth and the Moon: 31,680 miles is both the perimeter of a square encasing the Earth as well as the circumference of a circle drawn from the centre of Earth the through the centre of the Moon if the moon was resting on the surface of the earth.
This is mathematically true because the dimensions of the Earth and the Moon encapsulate Pi (22/7): The Earth with an average radius of 3,960 miles, and the Moon with an average radius of 1,080 miles. When the Moon is rested on the Earth, the distance from the centre of the Earth to the centre of the Moon is 3,960 miles + 1,080 miles = 5,040 miles.
All of these numbers are divisible by 720:
Earth diameter: 7,920 miles / 720 = 11
Moon diameter: 2,160 / 720 = 3
Combined radius: 5,040 / 720 = 7
Common perimeter and circumference: 31,680 / 720 = 44
Therefore, the relative size of the Earth and the Moon can be expressed as ratios of 11 to 7.
This is where Pi fits in: 22/7 is the same proportion harmonically as 11/7 - and this is why the square of the Earth is "circled" in this way by the circle of the Earth and the Moon combined.
Why talk about this for a binaural track? I have found a strange resonance at three frequencies: 5.4, 7.2 and 10.8 Hz. These frequencies seem to resonate with the background sound or electromagnetic energy of the Earth, and are fractions of a Day. See www.harmonicsofnature.com for my findings.
The fundamental octave of 7.2 Hz is 0.9 Hz (B-flat).
The 7th harmonic of 0.9 Hz is 0.9 x 7 = 6.3 Hz (A-flat), and an octave of that is 50.4 Hz or 100.8 Hz (compare to 5,040 miles for the combined Earth and Moon diameter).
Also, 5040 miles as combined diameter of earth and moon. Divide by 3.3333 to convert from helakim to hz = 378 hz (octave). Assuming it's the 7th harmonic of something, divide 378 hz by 7 = 432hz
The 11th harmonic 0.9 Hz is 9.9 Hz (between E and E-flat) which octaves up to 316.8 Hz (compare to the perimeter of the Earth, and the circumference of the Earth plus the Moon: 31,680 miles).
In this binaural track, I have attempted to incorporate the "11" of the Earth, and the "7" (or 14) of the combined Earth and Moon to emphasise these harmonic frequencies which are generally excluded from our harmonic scales. Cancer, the disease, shares its name with Cancer, the sign ruled by the Moon - and it occurs to me that the cure for cancer might be the 7th harmonic of this fundamental 0.9 Hz frequency. Similarly, the 11th harmonic has been used to destroy cancer (https://youtu.be/1w0_kazbb_U), so by combining these two frequencies into a binaural track, I hope to deliver a resonant "pill" that will cure and enliven.
Frequencies included:
0.9 Hz (a very low, magical B-flat)
0.9 Hz x 11 = 9.9 Hz (the 99 names of god)
0.9 Hz x 12 = 10.8 Hz (a very low, magical F)
By including 0.9 Hz and 10.8 Hz we get a "difference note" of 9.9 Hz (the 11th harmonic - which corresponds to 316.8 Hz)
For good measure, we've included 316.8 hz
Also 345.6 Hz (magic F and the 12th harmonic of 7.2 Hz)
And 28.8 Hz (another B-flat) which creates a difference note: 345.6 - 28.8 = 316.8 Hz).
7th harmonic 50.4 Hz plus 11th harmonic (79.2 Hz, see Earth diameter of 7,920 miles) = 129.6 Hz. The octave of that is 259.2 Hz. The length of the cosmic year is 2,592 years).
This track can also be downloaded for free as a WAV file here, for the best experience. Sounds a lot better: https://harmonicsofnature.bandcamp.com/track/binaural-99-names-of-god-11th-harmonic-99-hz?from=fanpub_fnb_trk
Other Earth-music using these same tunings: https://on.soundcloud.com/HKDDF
- Genre
- Ambient