The orbital patterns of the planets in our solar system reveal musical ratios such as octaves (1:1), perfect fifths (3:2), and perfect fourths (4:3). This arithmagic is displayed in the orbital resonances of these heavenly bodies. This is what’s called the ‘Music of the Spheres’.
Otherwise known as ‘Musica Universalis’, this ancient philosophical concept regards these ratios in the movements of celestial bodies—the Sun, Moon, and planets—as a form of music. Sometimes called the ‘Harmony of the Spheres’.
Every eight Earth years, Venus experiences thirteen. Every three years on Neptune, Pluto goes around the Sun twice. These ratios are core tenants of Music Theory. Jupiter creates the Perfect Octave with its moons. Neptune and Pluto create the Perfect Fifth, a 3:2 ratio. Our moon encodes Perfect Unison, 1:1, since it revolves around Earth and we only ever see one side of it. These celestial mechanics in the cosmos are also terrestrial. As above, so below. In Earth as it is in Heaven.
“Listen within yourself and look into the infinitude of Space and Time. There can be heard the songs of the Constellations, the voices of the Numbers, and the harmonies of the Spheres.” – Hermes Trismegistus
Pluto is farther away from the Sun and takes longer to complete a revolution. Every three Neptune years, Pluto experiences two. This is the Perfect Fifth. a ratio of 3:2, the most pleasing sound to the human ear.
The orbital resonance of the moons of Jupiter show the perfect octave in the overtone series in music theory. The moons revolve around Jupiter at different speeds. For every 4 revolutions of IO, Europa revolves twice, and Ganymede once. Since they are farther away from Jupiter and take longer to revolve around it.
Earth and Jupiter create a nested hexagonal geometry in their orbits about the Sun.
Two of Saturn’s moon, Enceladus and Dione, also show the Perfect Octave. Dione (the larger one) takes twice as long as Enceladus to orbit Saturn.
Titan orbits Saturn every 15.94542 days
For Hyperion, it takes 21.27661 days
In music theory the Perfect Fourth is a ratio of 4:3
According to NASA, this correlation is 99.92% accurate
All of the correlations presented in this article are at least 99% accurate
Tethys, being a lot bigger than Mimas, takes longer to go around Saturn. Again the relationship of the Perfect Octave is reflected in the Saturn’s moons’ orbital periods.
Our moon is fascinating. They say life couldn’t exist without it. I believe we overlook it’s importance.
“The truth is, the so-called “axial rotation” of the moon is a phenomenon deceptive alike to the eye and mind and devoid of physical meaning. The moon does rotate, not on its own, but about an axis passing thru the center of the earth, the true and only one.” -Nikola Tesla
The orbits of Mercury and Earth and be described in this way. Draw a square around the orbit of Mercury. Surround this square with a circle. Do the same and draw another square around this circle. On the four corners of this larger square, draw four circles with radii that reach the last circle you drew. One more step. Draw a large circle around the four smaller circles. You just defined Earth’s orbit to 99.9% accuracy.
Jupiter and Mars’ orbit can be shown in this simple diagram. If you draw a square inside of Jupiter’s orbit and then draw 4 circles on each corner of the square so they all touch, then you will have the orbit of Mars within 99.98% accuracy.
This tidbit of gnosis was obtained from the book “A Little Book of Coincidence in the Solar System” by the brilliant John Martineau.
The physical sizes of Earth and Mercury are in proportion to their mean orbits which is defined by the pentagram.
“ Where plants have five-fold patterns, a consideration of their Souls is in place. For patterns of five appear in the regular solids, and so involve the ratio called the Golden Section, which results from a self-developing series that is an image of the faculty of propagation in plants. Thus the flower carries the authentic flag of this faculty, the pentagon.”
– Johannes Kepler
If you’re on Mercury it takes two years to experience one day. This ‘octave’, or 2:1 relationship, is further defined in the geometry of a triangle. The circle inside a triangle is exactly one half the size of the circle outside it. The triangle also defines the orbital relationships between Mercury, and the next planet out, Venus.
“The fall of man is the descent of the ladder from the dot to the circumference; the resurrection or redemption of man is his return from the circumference to the dot.” — Manly P. Hall
All of the perfect intervals in music theory can be found in the tetractys. The total angular measures of the first three Platonic Solids can sum of these musical ratios.
Ratios, Rhythms and the Golden Section: (taken from A Little Book of Coincidence)
In the 17th century Johannes Kepler set about to calculate the Harmony of the Spheres.
He noticed that ratios between the extreme angular velocities of the planets were all harmonic intervals. He wrote a book called Musica Universalis that shows the relationship between geometry, cosmology, and harmonics.
A century after Kepler’s death, the Titius–Bode law or Bode’s Law hypothesized that the bodies in some orbital systems, including the sun’s, orbit in a function of planetary sequence.
Since then, many more patterns have been discovered.
The periods of the planets sometimes occur as simple ratios of each other. For example, Jupiter and Saturn have a 2:5 ratio, with an accuracy of 99.3%.
It takes Jupiter 11.86 Earth years to orbit around the Sun, and Saturn 29.5 years, forming the 2:5 ratio.
Uranus, Neptune and Pluto are especially rhythmic and harmonic, displaying a 1:2:3 ratio of periods with an accuracy of 99.8%.
Neptune completes its orbit approximately every 164 Earth years, and Uranus every 84 years. Add them together to get Pluto’s 248 year orbit.
Another example is the 1:2:4 resonance of Jupiter’s moons Ganymede, Europa and Io.
Our two planetary neighbors resonate a 3:4 rhythm, a deep musical fourth. Earth kisses Mars three times every 780 days for every four Venus kisses, every 584 days, with a 99.8% accuracy.
Earth and Mercury kiss 22 times in 7 years, and Mercury and Venus are beautifully in tune after 14 kisses.
The first planet is remarkable, for one Mercury day is exactly two years, during which time the planet has revolved on its own axis exactly three times.
And now we meet the Golden Section (Φ or phi).
The golden section often appears as 0.618, 1.618, or 2.618, and is found throughout plant and animal life.
A pentagram, embodying the Golden Section proportion, both spaces Earth and Mercury’s mean orbits and sizes their relative physical bodies with 99% accuracy.
Another instance of a two planet relationship like this also involves Earth. Earth and Saturn’s orbits and sizes are related by a fifteen-pointed star.
For the next coincidence take three circles and put them together so that they all touch. The orbits of the first two planets are hiding in this simple design.
If Mercury’s mean orbit passes through the centers of the three circles then Venus’ encloses the figure. (99.9% accuracy).
Venus, our closest neighbor, kisses us every 584 days. Each time one of these kisses occurs the Sun, Venus and the Earth line up two-fifths of a circle further around, so a pentagram of conjunctions is drawn, taking exactly 8 years, or 13 Venusian years (99.9%).
Notice the Fibonacci numbers: 5, 8, 13. The periods of Venus and Earth (583.92/365.25) are also closely related as 1/Φ (99.6%).
The harmony of Earth and Venus draws a beautiful pattern. In this diagram, four eight-year cycles are shown.
Here’s the sun-centered version of this five-petalled flower.
In case you think this is all pure lunacy, then you’re in luck, for we’ve arrived at the moon herself.
Have you ever wondered why the Moon appears to fit precisely over the Sun during an eclipse? Nasa (Not A Scientist Around) tells us that the Moon is 400 times smaller than the Sun, yet it’s also 1/400th of the distance between the Earth and the Sun.
Isaac Asimov described this as being ‘the most unlikely coincidence imaginable’.
The sizes of the Moon and Earth also relate as 3 to 11 (99.9+%).
The sum of the radii of both the Earth and Moon (in miles) is 3960 + 1080 = 5040. This means that the sum of their diameters is also the number of minutes in a week (7 days × 24 hours × 60 minutes = 10,080).
The ratio of the radius of the moon and the radius of the earth is 1080/3960, which simplifies to 3/11. This ratio can also be expressed as (4 – π)/π, when using 22/7 as the value of π. The sizes of the earth and the moon are related by a simple function of π.
The sum of their radii in miles is 5040, which when divided by 14 is 360 (the number of degrees in a circle). This would not happen for another pair of objects with radii in the same ratio—it only happens when the sum of their radii is 5040.
Factorials in Metrology
The sizes of the Moon and the Earth “square” the circle. The ancients seem to have known about this, and hidden it in the definition of the mile.
Radius of the Moon = 1080 miles = 3 x 360
Radius of the Earth = 3960 miles = 11 x 360
Radius of Earth + Radius of Moon = 5040 miles = 1 x 2 x 3 x 4 x 5 x 6 x 7
Diameter of Earth = 7920 miles = 8 x 9 x 10 x 11
There are 5280 feet in a mile. and..
(10 x 11 x 12 x 13) minus (9 x 10 x 11 x 12) equals 5280.
The 3:11 ratio is found in Venus and Mars, not that rock band from the nineties.
3/11 rounds to 27.3%, and 27.3 is the number of days it takes for the Moon to orbit the Earth, and 27.3 days is the average rotation period of a sunspot.
There are an average of 12.37 full moons in a year. This number can be derived using two simple mathematical techniques:
First, draw a circle, diameter 13, with a pentagram inside. Its arms will measure 12.364, almost the right number.
An even more accurate way (shown below) is to draw the second Pythagorean triangle (the 5-12-13), and divide the 5 side into 2:3 (A perfect fifth). The resulting hypotenuse has a length of 12.369…
The Saros Cycle, Nineteen & the Draconian Year
The numbers 18 and 19, when combined with the golden section, express many of the major time cycles of the Sun-Moon-Earth system. When multiplied together, they produce the following results:
18 years = The Saros eclipse cycle (99.83%)
18.618 years = Revolution of the moon’s nodes (99.99%)
19 years = The Metonic cycle (99.99%)
18.618 x 18.618 = The eclipse year, or Draconic year. (99.99%)
18.618 x 19 = The lunar year, or Islamic year (99.82%)
18.618 x 20.618 = 13 full moons (99.99%)
Robin Heath -who discovered many of these relationships- calls this feature of the Sun-Moon-Earth system “the evolutionary engine”.
The Outer Planets and Beyond
The average orbits of Jupiter and Mars can be formed from four touching circles or a square (99.98%).
A pair of asteroid clusters, called the Trojans, orbit around Jupiter at exactly 60° ahead and 60° behind the planet.
Using the orbit of Jupiter and the pair of Trojan asteroid clusters, you can produce Earth’s mean orbit by drawing three hexagrams (99.8%).
The outermost circle represents Jupiter’s mean orbit, and the image of Earth represents Earth’s mean orbit.
One of the most fascinating examples of hexagonal patterns in the solar system is Saturn’s hexagon. The sides are about 8,600 miles long, greater than the diameter of the Earth.
Interestingly enough, 8,600 / 1.618 gives the number of feet in a mile to 99.3% accuracy (my own observation…I was unable to find a more accurate number than 8,600, so the relation between Saturn’s hexagon, the golden section and the mile may be more or less accurate than 99.3%).
The Earth-Saturn synodic period is 378.107 days and the Earth–Jupiter synodic period is 398.883 days.
The golden section can be seen defined here in time and space to a very high accuracy (99.9%).
The lunar year, or 12 lunar months, is 354.37 days.
Jupiter’s synodic year relates to the lunar year with an 8:9 ratio (99.9%). Saturn’s synodic year and the lunar year have a 15:16 ratio (99.9%). These two ratios are fundamental in music, as the tone and halftone respectively.
Jupiter and Saturn’s orbits are in the proportion 6:11, double the 3:11 ratio between the Moon and Earth (99.9%).
The dwarf planet Makemake may also be in a 6:11 resonance with Neptune.
Saturn’s orbit invokes π (pi) twice.
The circumference of Mars’ orbit matches Saturn’s orbit (99.9%).
The diameter of Neptune’s orbit matches the circumference of Saturn’s orbit (99.9%).
The orbital period of Neptune (approximately 60,000 days) is twice that of Uranus (30,000 days) and two-thirds that of Pluto (90,000 days).
One of the most amazing symmetries is that the Milky Way, the plane of our own galaxy, is tilted at almost exactly 60° to the ecliptic, or the plane of our solar system. (99.7%)
“There’s too many coincidences for it to be all just coincidence” – unknown
“The heavenly motions… are nothing but a continuous song for several voices, perceived not by the ear but by the intellect, a figured music which sets landmarks in the immeasurable flow of time.” -Johannes Kepler
“Music gives a soul to the universe, wings to the mind, flight to the imagination and life to everything.”
“We are the music makers, and we are the dreamers of dreams.”
― Arthur O’Shaughnessy
“A man should hear a little music, read a little poetry, and see a fine picture every day of his life, in order that worldly cares may not obliterate the sense of the beautiful which God has implanted in the human soul.”
― Johann Wolfgang von Goethe
“One good thing about music, when it hits you, you feel no pain.”
― Bob Marley
Music: ‘Gobekli Tepe’ by I am an Astronaut – Aether Experiment
Below is a presentation highlighting Pythagoras’s theory on The music of the spheres written by Narin Gayle , Narrated by Kit Hill