Harmony of the Spheres | Dance of the Planets

James Ferguson’s (1710-1776) representation of the apparent motion of the Sun, Mercury, and Venus from the Earth, based on similar diagrams by Giovanni Cassini (1625-1712) and  Roger Long (1680-1770). Taken from the "Astronomy" article in the first edition of the Encyclopædia Britannica (1771; Volume 1, Fig. 2 of Plate XL facing page 449). This geocentric diagram shows, from the location of the Earth, the Sun's apparent annual orbit, the orbit of Mercury for 7 years, and the orbit of Venus for 8 years, after which Venus returns to almost the same apparent position in relation to the Earth and Sun. In Arabic, Venus is called “El Zahra” - the flower. See HERE + HERE + HERE + HERE

Earth - Mercury Cycle.
This and all following graphics by John Martineau.

Earth - Venus Cycle:
Earth = 8 years x 365.256 days/year = 2,922.05 days
Venus = 13 years x 224.701 days/year = 2,921.11 days (ie. 99.9%)

Earth - Mars Cycle.

Earth - Jupiter Cycle.

Saturn - Uranus Cycle.

Jupiter - Saturn Cycle.

Venus - Mars Cycle.

The radius of the Moon compared to the Earth's is 3:11

Radius of Moon = 1,080 miles = 3 x 360
Radius of Earth = 3,960 miles = 11 x 360 = 33 x 1 x 2 x 3 x 4 x 5
Radius of Earth plus Radius of Moon = 5,040 miles = 1 x 2 x 3 x 4 x 5 x 6 x 7 = 7 x 8 x 9 x 10
The ratio 3:11 is 27.3%, and the orbit of the Moon takes 27.3 days, which is also the average rotation period of a sunspot. The closest to farthest distance ratio that Venus and Mars each experiences in the Mars-Venus dance is also 3:11. The Earth orbits between them. The sizes of the Moon and the Earth is drawn to scale in the last illustration above, where the perimeters of the dotted square and the dotted circle are of the same length: The perimeter of the dotted red square is 4 x Earth’s diameter = 4 x 7,920 miles = 31,680 miles. The circumference of the dotted blue circle is 2 pi x radius = 2 x 3.142 x 5040 miles = 31,667 miles (ie. 99.9%).

The Measure of the Circle | Math for Mystics

Pi (π) is the ratio of the circumference of a circle to its diameter. 
As a fraction, its closest approximations are 22/7, 333/106 and 355/113.

Projection on the plane of the ecliptic of the parabolic
orbits of 72 comets, 1802. Engraving by Wilson Lowry after
Johann Elert Bode.

Circle of Fifths, and relationship of relative
minor keys to major key signatures.

 

"The circle is one of the noblest representations of Deity, in his noble works of human nature. It bounds, determines, governs, and dictates space, bounds latitude and longitude, refers to the Sun, Moon, and all the planets, in direction, brings to the mind thoughts of eternity, and concentrates the mind to imagine for itself the distance and space it comprehends. It rectifies all boundaries; it is the key to information of the knowledge of God; it points to each and every part of God's noble work."

John Davis (1845): The Measure of the Circle [p. 12].

Lunar and Solar Eclipses 2017 | August 21 — The Great American Eclipse

2017 Feb 11 (Sat) = Penumbral Lunar Eclipse @ 24° LEO 59'
This eclipse may turn out to be of immediate importance
to Canada and the USA. The UK, Spain, Algeria, Morocco
and Mali are likely to be affected at a later date. With
the Sun being eclipse ruler, countries falling under the
Sun’s rulership will have to be taken into consideration.

2017 Feb 26 (Sun) = Annular Solar Eclipse @ 02° PIS 34'
This eclipse may be of immediate importance to Canada and
the USA. With Jupiter being eclipse ruler, countries falling
under Jupiter’s rulership will have to be taken into
consideration.

2017 Aug 07 (Mon) = Partial Lunar Eclipse @ 08° AQU 04'
This eclipse may turn out to be of immediate importance to
Poland, Austria and Italy. Russia, China and India may be
affected at a later date. With Saturn being eclipse ruler,
countries falling under Saturn’s rulership will have to
be taken into consideration.

2017 Aug 21 (Mon) = Total Solar Eclipse @ 20° LEO 21'
This is truly a great American eclipse sweeping the U.S. from
the Pacific to the Atlantic. However, this eclipse may be of
immediate importance to Russia. Canada and the USA are likely
to be affected at a later date. With the Sun being eclipse
ruler, countries falling under the Sun’s rulership will
have to be taken into consideration.
Sources: NASA. + Peter Stockinger. See also HERE + HERE

 

Asa Smith’s Illustrated Astronomy was the most popular American pictorial astronomy
guide of the 19th century, with numerous diagrams demonstrating or showing principles
of planetary motion and features, other astronomical phenomena, the moon, and the
constellations. Originally copyrighted in 1848, numerous editions followed.

DJIA vs Eclipses 2014 - 2016 (HERE)

FTSE vs Eclipses 2004 - 2013 (HERE)

More about Stock Markets vs Lunar Node's Speed and the Eclipse Crash Window HERE

DAX vs Iris Treppner's Astro Forecast 2012 - 2021 | Review 2016

Iris Treppner (May 2012) - Astro Trading
(an updated and fine-tuned 2016 DAX-forecast HERE)

SPX vs Mercury Speed | January 2017

Upcoming Turn-Days:
Jan 04 (Wed), Jan 10 (Tue), Jan 17 (Tue), Jan 22 (Sun), Feb 07 (Tue).

SPX vs Declination of Mercury + Venus | January 2017

Upcoming potential Turn-Days:
Jan 04 (Wed), Jan 28 (Sat), Jan 30 (Mon).

SPX vs Cosmic Cluster Days | January 2017

Upcoming Cosmic Cluster Days (CCDs) are:
Jan 09 (Mon), Jan 11 (Wed), Jan 12 (Thu), Jan 25 (Wed), Feb 08 (Wed).

SPX vs Mercury – Venus Cycle | January 2017

Upcoming Turn-Days:
Dec 28 (Wed), Jan 01 (Sun), Jan 06 (Fri), Jan 15 (Sun), Jan 18 (Wed), Jan 28 (Sat).

SPX vs Jupiter – Saturn Cycle | January 2017

Upcoming Turn-Days:
Dec 30 (Fri), Jan 05 (Thu), Jan 15 (Sun), Jan 26 (Thu), Feb 01 (Wed), Feb 09 (Thu).

SPX vs AstroMetric Indicator | January 2017

Upcoming turn-days:
Jan 02 (Mon), Jan 03 (Tue), Jan 04 (Wed), Jan 05 (Thu), Jan 06 (Fri), Jan 11 (Wed),
Jan 13 (Fri), Jan 19 (Thu), Jan 22 (Sun), Jan 25 (Wed), Feb 01 (Wed).

SPX vs True Node Speed = Mean Node Speed + Extremes | January 2017

Upcoming signal-days:
Jan 02 (Mon), Jan 05 (Thu), Jan 08 (Sun), Jan 11 (Wed), Jan 14 (Sat), Jan 18 (Wed),
Jan 23 (Mon), Jan 25 (Wed), Jan 28 (Sat).

Mithra | The Pagan Christ

Double-faced Mithraic relief.
Rome, 2nd to 3rd century CE (Louvre Museum)

In ancient Indo-Iranian and Zoroastrian mythology Mithra is the angelic Divinity (yazata) of Covenant and Oath, and the god of light. In addition to being the Divinity of Contracts, Mithra is also a judicial figure, an all-seeing Protector of Truth, and the Guardian of Cattle, the Harvest and of The Waters. According to myth, he was born, bearing a torch and armed with a knife, beside a sacred stream and under a sacred tree, a child of the earth itself. He soon rode, and later killed, the life-giving cosmic bull, whose blood fertilizes all vegetation. Mithra’s slaying of the bull was a popular subject of Hellenic art and became the prototype for a bull-slaying ritual of fertility in the Mithraic cult. As god of light, Mithra was associated with the Greek sun god, Helios, and the Roman Sol Invictus. His cult spread from India in the east to as far west as Spain, Great Britain, and Germany. 

The first written mention of the Vedic Mitra dates to 1400 bc. His worship spread to Persia and, after the defeat of the Persians by Alexander the Great, throughout the Hellenic world. In the 3rd and 4th centuries ad, the cult of Mithra, carried and supported by the soldiers of the Roman Empire, was the chief rival to the newly developing religion of Christianity. The Roman emperors Commodus and Julian were initiates of Mithraism, and in 307 Diocletian consecrated a temple on the Danube River to Mithra, “Protector of the Empire.”

Over the centuries—in fact, from the earliest Christian times — Mithraism has been compared to Christianity, revealing numerous similarities between the two faiths' doctrines and traditions, including as concerns stories of their respective godmen. In developing this analysis, it should be kept in mind that elements from Roman, Armenian and Persian Mithraism are utilized, not as a whole ideology but as separate items that may have affected the creation of Christianity, whether directly through the mechanism of Mithraism or through another Pagan source within the Roman Empire and beyond. The evidence points to these motifs and elements being adopted into Christianity not as a whole from one source but singularly from many sources, including Mithraism. Thus, D.M. Murdock points out, the following list represents not a solidified mythos or narrative of one particular Mithra or form of the god as developed in one particular culture and era but, rather, a combination of them all for ease of reference as to any possible influences upon Christianity under the name of Mitra/Mithra/Mithras. Mithra has the following in common with the Jesus character:

    Mithra was born on December 25th of the virgin Anahita.
    The babe was wrapped in swaddling clothes, placed in a manger and attended by shepherds.
    He was considered a great traveling teacher and master.
    He had 12 companions or "disciples."
    He performed miracles.
    As the "great bull of the Sun," Mithra sacrificed himself for world peace.
    Mithra ascending to heaven in his solar cart, with sun symbolHe ascended to heaven.
    Mithra was viewed as the Good Shepherd, the "Way, the Truth and the Light," the   
    Redeemer, the Savior, the Messiah.
    Mithra is omniscient, as he "hears all, sees all, knows all: none can deceive him."
    He was identified with both the Lion and the Lamb.
    His sacred day was Sunday, "the Lord's Day," hundreds of years before the appearance 
    of Christ.
    His religion had a eucharist or "Lord's Supper."
    Mithra "sets his marks on the foreheads of his soldiers."
    Mithraism emphasized baptism.
 
The similarities between Mithraism and Christianity have included their chapels, the term "father" for priest, celibacy and, it is notoriously claimed, the December 25th birthdate. Over the centuries, apologists contending that Mithraism copied Christianity nevertheless have asserted that the December 25th birthdate was taken from Mithraism. As Sir Arthur Weigall says: "December 25th was really the date, not of the birth of Jesus, but of the sun-god Mithra. Horus, son of Isis, however, was in very early times identified with Ra, the Egyptian sun-god, and hence with Mithra."

"Both Mithras and Christ were described variously as 'the Way,' 'the Truth,' 'the Light,' 'the Life,' 'the Word,' 'the Son of God,' 'the Good Shepherd.' The Christian litany to Jesus could easily be an allegorical litany to the sun-god. Mithras is often represented as carrying a lamb on his shoulders, just as Jesus is. Midnight services were found in both religions. The virgin mother [...] was easily merged with the virgin mother Mary. Petra, the sacred rock of Mithraism, became Peter, the foundation of the Christian Church."
Gerald Berry: Religions of the World

"Mithra or Mitra is [...] worshipped as Itu (Mitra-Mitu-Itu) in every house of the Hindus in India. Itu (derivative of Mitu or Mitra) is considered as the Vegetation-deity. This Mithra or Mitra (Sun-God) is believed to be a Mediator between God and man, between the Sky and the Earth. It is said that Mithra or [the] Sun took birth in the Cave on December 25th. It is also the belief of the Christian world that Mithra or the Sun-God was born of [a] Virgin. He travelled far and wide. He has twelve satellites, which are taken as the Sun's disciples [...] [The Sun's] great festivals are observed in the Winter Solstice and the Vernal Equinox—Christmas and Easter. His symbol is the Lamb [...] "
Swami Prajnanananda: Christ the Saviour and Christ Myth. 

D.M. Murdock concludes, that ""Christmas" is the birth not of the "son of God" but of the sun. Indeed, there is much evidence—including many ancient monumental alignments — to demonstrate that this highly noticeable and cherished event of the winter solstice was celebrated beginning hundreds to thousands of years before the common era in numerous parts of the world. The observation was thus provably taken over by Christianity, not as biblical doctrine but as a later tradition in order to compete with the Pagan cults, a move we contend occurred with numerous other "Christian" motifs, including many that are in the New Testament."
 

 

For three days, on December 22nd , 23rd, and 24th, the Sun rises on the exact same declinational degree. This is the only time in the year that the Sun actually stops its movement in the sky. On the morning of December 25th the Sun moves northward again, beginning its annual journey back into the Northern Hemisphere, ultimately bringing the spring. By the ancients, anything steadily moving all year long that suddenly stops moving for three days was considered to have died. Therefore, God’s Sun who was dead for three days, moves one angular minute northward on December 25th and is symbolically born again (see also HERE + HERE).

Even the darkest night will end,
And the sun will rise again.
Jalāl ad-Dīn Muhammad Rūmī (1207-1273)

No Shortcut to Knowledge | Euclid's Elements

"Ptolemy I. asked Euclid whether there was
any shorter way to a knowledge of geometry 
than by study of The Elements, whereupon 
Euclid answered that there was no royal road 
to geometry." Commentary on The Elements.
Proclus Diadochus (410-485).

Euclidean geometry is the mathematical system attributed to the Alexandrian Greek mathematician Euclid (365-275 BC), which he described in his textbook The Elements, referred to as the most successful and influential textbook ever written. 

The word element in the Greek language is the same as letter, and was used to describe a theorem that is all-pervading and helps furnishing proofs of many other theorems. Euclid's method consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions from these. Although many of Euclid's results had been stated by earlier mathematicians, Euclid was the first to show how these propositions could fit into a comprehensive deductive and logical system.

The Elements begins with plane geometry, and goes on to the solid geometry of three dimensions. Much of the Elements states results of what are now called algebra and arithmetic, explained in geometrical language. For more than two thousand years, the adjective "Euclidean" was unnecessary because no other sort of geometry had been conceived. Euclid's axioms seemed so intuitively obvious that any theorem proved from them was deemed true in an absolute, often metaphysical, sense.

Being first set in type in Venice in 1482, it is one of the very earliest mathematical works to be printed after the invention of the printing press and was estimated to be second only to the Bible in the number of editions published. For centuries, when the Quadrivium was included in the curriculum of all university students, knowledge of at least part of Euclid's Elements was required of all students. Not until the 20th century, by which time its content was universally taught through other school textbooks, did it cease to be considered something all educated people had read.

In 1847 Oliver Byrne (1810–1880), an Irish civil engineer, surveyor, mathematician and teacher, published a notable edition of Euclid’s Elements (HERE). He was an expansive thinker and his aim was to reduce the sheer quantity of text, and to give a visual form to the information. The result is a surprisingly modern layout: a combination of bright blue, red, and yellow woodblock-printed shapes, thoroughly integrated with the black type and rules throughout the book. Byrne's edition has become the subject of renewed interest in recent years for its innovative graphic conception and its style which prefigures the modernist experiments of the Bauhaus and De Stijl movements.

Sun — Earth — Man | In Tune With Cosmic Rhythms

"The unanimous message of mystics of all ages that all entities in the universe are interconnected and constitute an indivisible whole is proven now by unequivocal physical experiments that have been replicated again and again. From this undeniable unity, connectedness, and inseparability follows that any action or configuration in any distant part of the universe can influence processes in the solar system inhabited by man. This is also valid for the interrelations of Sun and planets within the solar system and especially the Earth's connections with other cosmic bodies in the solar environment. 

To look at the solar system and its constituent parts as a whole that embraces a complex web of holistic interrelations, is a premise of traditional astrology, which seemed antiquated, but turns out to be trend-setting. Thus, it appears promising to subject the astrological thesis of an influence of celestial bodies on the Earth and life on its surface to a new test. The quality of the astrological body of theses matches the holistic results of modern research, as it represents the archetype of an integrating science. Astrology of this brand was a historical reality in the era of Kepler, Galileo and Newton. It is well known that Kepler was both an astrologer and one of the creative founders of modern science. Book IV of his principle work Harmonices Mundi (1619) with the heading "Book on Metaphysics, Psychology, and Astrology" is evidence of this, as well as his papers De fundamentis astrologiae certioribus (1602) and De stella nova (1604). Those who pretend that Kepler was not really engaged in astrology should read these writings." 

Theodor Landscheidt - German jurist, mathematician, astronomer, astrologist, and climatologist, in Sun - Earth - Man: A Mesh of Cosmic Oscillations (1988).

Theodor Landscheidt (1989): Mini-Crash in Tune With Cosmic Rhythms.
Solar system instability events and the stock market.
In: Cycles Magazine - Volume 40, Number 6 Nov-Dec, pp. 317-319.

SPX vs Solar Activity | Sunspots | 10.7 cm Flux

SPX vs Mercury Speed | December 2016

The World Is Sound | Joachim-Ernst Berendt

Joachim-Ernst Berendt (1987) - According to the Law of the Octave the duration of a planet's rotation, that is, the time a celestial body takes to revolve around its own axis and/or the time it needs for one orbit around the Sun, can be transposed into tones and colors. The tones and colors are analogous to rotation and revolution. In order to arrive at the frequency in Hertz (vibrations per second) from an astronomic period, the reciprocal value has to be formed of the duration (expressed in seconds) [...] The Earth, for instance, has a rotation period of 24 hr, or to be more precise, of 23 hr. 56 min, and 4s, totaling 86,164s. If one takes the reciprocal value, that is, divides 1 by this number, a frequency of 0.00001160577 (an inaudible G) is obtained. Though this G is below the hearing range (which starts at about 16 Hz). transposing it by 24 octaves will create an audible G. 

[...] Tones exist, whether we hear them or not. Any music lover knows that a melody can resound within even when it is not being played. A composer hears the music within while notating it and before any sound has been made. For this reason, transposing by octaves is a legitimate process. Even scientists are using it (for instance, to transpose sound of deep sea fish and bats from the ultrasonic range into human audibility or to better understand signals of pulsars and other stars). The octave (1:2) is the most frequent relationship in the universe - not only in music, but anywhere in nature, from the micro- to the macro-cosmos. We use the same names for tones that are octaves apart [...] When a cell divides in mitosis, it chooses the "position" of the octave. The result is the "same cell" again. An octave may vibrate at twice or half the rate (or in powers of two or one-half) but it still is the same tone. It may split the one in two parts or double it, and the result is the same again. Its frequency may be completely different from the basic tone, many Hertz above or below it, but the result is still the same tone again. The octave is the most convincing symbol of unity that we can find in nature. And in nature, it is omnipresent.

[...] Because the Law of the Octave is universal, one can continue transposing by octaves to reach the electromagnetic vibrations of colors. From the tone of the Earth (194.71 Hz) another 36 octaves are required to reach 700.16 Nm (Nanometer), which is analogous to the color of orange-red (also analogous to the tone G and to the rotation of the Earth around the Sun). However, the range of human vision is limited to only one octave compared with the ten octaves of the hearing range [...] The tone of the Earth is the most important tone for all living beings on this planet, whether we leave it inaudible or make it audible by transposing it into higher octaves. It is with this tone that we rise in the morning and go to bed at night; to this tone we do our work, we get hungry, and we love. But other planetary vibrations and tones, especially those of the Sun, the Moon, Venus. Mars, and Jupiter, also vibrate directly into our earthly existence. This is why I call them primordial tones [...] For millions of years, longer and more steadily than any other comparable vibration, the Earth. Sun, Moon, and the planets have been vibrating in cosmic space. Our genes and those of all living beings have experienced these vibrations so often that the processes and mechanisms of genetic programming must have stored them long ago.

[...] The period from Full Moon to Full Moon (the "synodical month") lasts 29 days, 12 hr, 44 min and 2.8s; a total of 2,551,442.8s. In order to transpose the corresponding frequency into the average range of human hearing, we have to transpose it by 30 octaves. The result is a tone of 420.837 Hz (G sharp), a tone of no great importance to our Western music today, but during the Baroque and early Classical periods, it was of major importance. Mozart's tuning fork, for example, had 421.6 Hz. At its pinnacle, Western music was directly connected with the tone of the Moon. Concert pitch started to rise in the middle of the 19th century, striving for the superficial effect of making the music sound brighter. Thus Western music started to turn away from the moon's field of resonance, but the Moon, in all traditions, is responsible for the arts and the artists, being the planet of sensitivity and creativity. In the 20th century, major American symphony orchestras kept raising the concert pitch tone more and more. In doing this, they have banished Western music from its cosmic relationship to the celestial body of the arts and the artists.

[...] The tone of the Sun results from the tropical year lasting 365.242 days or 31,556,926s, and it is C sharp. We can hear it at 136.10 Hz. In Indian classical music, this C sharp is still the fundamental tone. It is called sa or sadja, the "Father of Tones." Bells (e.g., temple bells and gongs) are often tuned to this tone, not only in India but also in Tibet, Japan, and on Bali. The prime word OM, the holiest of mantras, has been chanted to the sa more often than to any other tone. Today classical Indian music remains in a relationship to the Sun, as Western music of the Baroque, Classical and Early Romantic periods was formerly in relationship to the Moon.

 

Quoted from:
Joachim-Ernst Berendt (1987) - Primordial Tones: Meditation on the Archetypal Energies of Celestial Bodies.

See also:
Joachim-Ernst Berendt (1991) - The World Is Sound: Nada Brahma.

 

Sound, Light, Color, Heat = Different Manifestations of Energy.

SPX vs Presidential + Decennial + Annual Cycles | Dec 2016 – Jan 2017

Calculation: www.moneychimp.com

SPX vs Sunspots