Hierarchy of Cycles and Numbers

In order to celebrate the today heliocentric conjunction between the Lord of Harmony Mercury (4th Ray) and the Lord of Order and Rhythmic Magic Uranus (7th Ray) in Their Sign Aries (1st-7th Rays), here are some extracts on the hierarchy of Cycles and Numbers from the text From linear to cyclical time):

If nothing in the living Space is still, static or closed, the observation point cannot be either. Whoever measures themselves with the unceasing motion of Life, must be able to set up an open system of perspectives that allows them, through celestial jumps, to follow the numerous, orderly reverberations of its pulse, in this instance its hierarchy of cycles. Since everything is in motion, oscillating, vibrating and evolving, the point of view and the vision must accordingly be so too. The supreme capacity of dynamism (=spirit) makes that point safe, paradoxically stable, balanced and free.

In heaven and on earth each cycle, each plane, each world is penetrated and intertwined with others in such a progression of possible and variable systems that ordinary science believes in the god Fate, excluding any possible conscious intention of Nature. Equally, the ‘mystic’ attitude of many astrologers, for example, makes them short-sighted and disinterested in the harmonious and golden wonder of celestial mechanics, in their laws and cosmic values.

Yet human thought sooner or later frees itself from any limited vision and it advances thanks to the sacrifice and love of some heretic at the voluntary service of Space (Nature, Heaven).

Thought, one of the energies of Life, cannot but stretch to Infinity, to instantaneous flight.


Let’s continue, then, in this attempt to think of space and time in qualitative terms [see previous article Time and Cycle], circumscribing the ‘system of points of view’ to the cycles of our macrocosm, the Galaxy. Its most significant breaths or celestial motions, according to the exoteric or esoteric consciousness, are:

– The solar orbit around the Center of the galaxy (of around 250 million terrestrial years), which accompanies 4 motions of oscillation of the whole solar system above and under the galactic equator (of around 64 million years each, presently directed to the celestial point called apex between the Vega star and the Hercules constellation):[1]

– Sources of the esoteric Tradition[2] mention a rotation of Seven solar Systems including ours (‘our local universe’) around the star Alcyone in the Pleiades, the forge of stars or open cluster in the constellation of the Bull, defined as ‘the focal point from and in which the Divine Breath, the Divine Movement unceasingly works during the Manvantara’, the manifestation. This rotation occurs every 250,000 years, a cycle unknown to ordinary astronomy and significantly in accordance both with the revolution around the galactic center and the precessional cycle of about 25,000 years of our Earth, originally called, indeed, ‘great year of the Pleiades.’[3]

– The equatorial plane of the Sun, the plane perpendicular to its rotation axis, tilted around 7° to the terrestrial orbital plane/ecliptic, projected to the infinite intersects the galactic equator surprisingly very close to the galactic Center, between the stars of the Archer and those of the Scorpion and, at its opposite pole, between those of the Twins and the Bull: our Sun is well oriented to the cosmic Center.

At present, astronomy tells us, the line of intersection between the solar equatorial plane and our ecliptic extends between the 9th and 10th degrees of the constellations of the Fishes and the Virgin, with a migration (oscillating back and forth on the ‘steady’ plane of the solar equator) of 1 degree every 278 years, that is a complete migration every 100,000 years; the relation between these two planes or orientations generates this earth-sun cycle, which encompasses precisely 4 precessional years of 25,000 years[4];

– The orbital planes or ecliptics of the Planets, all more or less coplanar to our ecliptic (except for the eccentric orbit of Pluto, tilted by 17°) are compared by astronomy to a medium ecliptic, to which their motions and oscillations are referred. The line of intersection between our ecliptic and the average one, for example, carries out a complete medium rotation in around 150,000 years, 1 degree every 423 years;

Projection of planetary ecliptics toward the galactic Center

– Every Planet has its own year or cycle of revolution around the central star, the Sun, which extends, among traditional luminaries, from a minimum of around 90 terrestrial days (Mercury) to a maximum of 240 terrestrial years (Pluto);

– Each Planet has also a second lesser ‘breath’, the rotation around its own axis, or day, which goes from a minimum of around 10 terrestrial hours (Jupiter) to a maximum of 243 days (Venus), or next longest being 59 days (Mercury).

The periods of revolution of Planets are therefore directly proportional to the orbital width, whereas their cycles of rotation are inversely proportional. The closer they are to the Sun, the more often the Planets revolve around it, whilst their axes rotate slowly; the more they are situated in the spatial depths of the solar System, the more the Planets proceed slowly, whilst they rotate around their axes at a faster pace.

The rhythmic intensity of the two main planetary motions seems to depend in the case of revolution (year, ‘field cycle’) on the proximity to the Center/solar globe, as if resisting its powerful gravitational attraction, and in the case of rotation (day, ‘center cycle’) on the attempt of the Planet to incise their energy or identity in order to maintain a peripheral orbital level in the solar field.


Flying among the cosmic cycles of our evolving Star in its galactic motion, through precessions and intersection among planes, planetary cycles and human ones, the observation point and scale of values obviously migrate and vibrate on increasingly comprehensive levels. The plane of the human horizon expands into that of the equatorial plane of Earth, from there it jumps to the ecliptic of revolution around the Sun, from this to other greater spirals, up to the galactic equatorial plane and beyond, extragalactic, intergalactic…universal.

The mind does not get lost in such apparent complexity if gifted with sense of proportions or ordered vision of the whole, as an eagle eye, as well as with a system and canon of co-measurement between the cycles and their respective planes.

This system of co-measurement, admirably encompassed by Pythagoras in his philosophy and science of harmonics around 2,500 years ago, is the order of Numbers, considered not as mere indicators of quantity, but as the ‘essence of all things’, able to reveal their real nature in spatial terms, as quality or sound: the number three, for example, is the triangle between three spatial points, that is among three monads or units of life, which, as the first two-dimensional geometrical figure, is able to create and set up any other; it is the third harmonic of the 1 which, in terms of acoustics or organization of the matter, equals a ‘fifth’, the creative and bright interval par excellence.

Such order of the energy of Life codifies all spatial relations in terms of principles, qualities, laws and canons, models, geometries, functions, proportions and directions.

The Number, according to this psycho-mathematics[5], is the key to the conscious motion of Life in Space, its Rhythm[6], that flows circularly and whirlpools in cycles.

The Number, therefore, is the vital rhythm, the essence and structure of all spatial Relations. To say relation is to say consciousness; Relations, interpreted in the light of Numbers, become commeasurable, consciously intelligible.

To grasp this concept, think of the number as an indicator of the relation of a part to the whole; for example we say three o’clock with reference to midnight; or the month of February as the second month from the solstice; likewise 123° to an initial 0° point. These numbers seem to define a quantity, but they actually specify the ordinal position of the division of a circle/cycle with reference to the starting point.

The Unit, the primary number, divides or multiplies itself unceasingly, as Life, revealing the relation, also in terms of quality or state of consciousness, between the origin (initial impulse) and the degree (state) of development of the cycle. The angle of incidence on the plane of the clock, of daily or yearly rotation, of the ecliptic or other circle, is a significant relation, an interval, an orientation, a quality that science of harmonics teaches us to decipher.[7] The impact of a right-angle (1/4) cannot be qualitatively identical to a straight angle (1/2), or full rotation (1), or acute angle of 5° (1/72).

The Number is therefore the precise tool that consciousness has to measure and understand the infinite.


The point of observation as well, is in actual fact a number, a unit/monad, a spatial relation. It is a point at the center of a plane or a sphere that measures the relations among spatial entities according to one’s own ‘point of view’ in motion, or evolutionary level, and according to the consequent reference system. This system will be more or less open and dynamic in accordance with the ability of the observing center to take countless positions, perspectives or indices of measurement. The coordinates of their system will then be able to interface with other coordinates of other systems, up to discovery of the ultimate system of reference systems, the hierarchy of points of view which can commeasure everything according to proportion and pure relations which are not conditioned by sizes, spatial or temporal distances or formal differences.

Gradually, the observer identifies himself with the Model which is able to comprehend and justify all points of view, the hierarchy of perspectives, of states of consciousness, of energetic vibrations; he is then free to move, firm at the center of everything, simply listening to and observing them.

He sees and understands the numerical matrix of Space, sonorous and luminous.

Sound directs and guides him among entities, the light of which reveals their relation to the whole. Thus he touches, tastes and inhales particles of infinity, truth and Life.


Each vision or reading of the cycles will then depend on the consciousness of the observing center, that is on his numeric relation with regard to the Origin, on the psycho-coordinates given by his current ‘position’ which is his ‘state’ of consciousness, both in terms of power (Life) and of quality (Space).

Such a position or state should not be understood so much as a place or distance or a temporal moment, but rather as a relation or degree of response to the initial impulse, as a spiral evolution of the original point placed in cyclical motion towards a goal.

Further reflection, following such a psycho-geometrical key of reality, leads to observing that in the spiral, or in each cycle, such orbital motion of the point is constantly stretched by the central axis (which is also in motion – translation) through the ray. Such a helical and dynamic ray supports the breadth and advancement of consciousness, qualifying both its relation to the Center (power) and its orientation (quality, or angle of incidence on the spiral/cycle).

The tension of the advancing point, expressed by the Ray, both with regard to the central axis and to the Space (orientation) is steady yet progressive, like every creation or conception based in reality, and updated according to the field of service or irradiation.


If the point or center of observation, in endless evolution, sees where it is coming from and where it is going, it discovers its own tendency and trajectory, its central pivot and its horizon, and causally, ideally, overcomes it, since is now aware of or owns it; it can then read things and their relations in a still relative but real manner, since it was able to descry the system or hierarchy or order among them.

Its ‘state of consciousness’ becomes, or goes back to being, circular, spherical, spatial, at the center of the infinite and therefore of everything. It stays, being in continuous motion, and its ray shoots to the infinite, which is the center of its own heart.

It dances in united breath and unified rhythm with Life itself.

[1] ‘The sun’s path is tilted about 25 degrees from the plane of the galaxy and it is headed toward a region in the constellation of Hercules near its border with Lyra. The sun oscillates through the central plane of the galaxy with amplitude of about 230 light-years, crossing it every 33 million years. However, the sun’s motion relative to the local stellar neighborhood should not be confused with its movement around the center of the galaxy, since the whole solar neighborhood (including the sun) orbits the galactic center once every 250 million years.’(http://www.americanscientist.org/issues/issue.aspx?id=862&y=0&no=&content=true&page=4&css=print)
[2] We must keep in mind, with reference to enquiry and reflection, the great cycles mentioned by esoteric Tradition; here is a taste (from the above mentioned ‘A Treatise on Cosmic Fire’, pages 39-42): “One day out of this long life of Brahma is called Kalpa [the day of Brahma, equal to 4,320,000,000 terrestrial sidereal years]; and a Kalpa is that portion of time which intervenes between one conjunction of all the planets on the horizon of Lanka [=shining island], at the first point of Aries, and a subsequent similar conjunction. […] That these figures are not fanciful, but are founded upon astronomical facts, has been demonstrated by Mr. Davis, in an essay in the ‘Asiatic Researches’; and this receives further corroboration from the geological investigations and calculations made by Dr. Hunt, formerly President of the Anthropological Society, and also in some respects from the researches made by Professor Huxley.
Great as the period of the Maha Kalpa seems to be, we are assured that thousands and thousands of millions of such Maha Kalpas have passed, and as many more are yet to come and this in plain language means that the Time past is infinite and the Time to come is equally infinite. The Universe is formed, dissolved, and reproduced, in an indeterminate succession (Bhagavata-gita, VIII, 19). ‘ – The Theosophist, Vol VII, p. 115.”
[3] It can be supposed that a such name was coined at the time when the march equinox coincided with the Pleiades (between 2,170 and 2,250 B.C.) positioned between the stars (and the Eras) of the Bull/Taurus and the Ram/Aries. As it will be better explained in the document, the precession of equinoxes (the points of intersection between the ecliptic and the equator of the Earth, tilted of 23° 27’ from the orbital plane) is a motion of the Earth that changes slowly but continuously (1 degree every 72 years) the orientation of its rotation axis to the ideal sphere of the ‘fixed’ stars, and therefore also of its equator or rotational plane.
[4] Here is quite clear the fundamental relation between the cycles of the 1, 10, 100, 1000, …and those of the 4 or quadripartition: 1/4 or 2.5, 25, 250, 2500, 25000, ….250 million,…; the earthly year, considered as a unit of measure of the superior cycles, accords with powers of 10 of the Number 25, or 5×5, the quadripartition of the unit.
[5] From the Greek psyche=soul, spirit, conscience and mathmatikós=yearning to learn.
[6] Rhythm (rythmòs) and number (arithmòs) have the same root in Greek, meaning the arrangement or flow of rhythm according to an order.
[7] See the document ‘The Creating Sound’. Anyone interested to this or other unpublished documents mentioned in this essay are welcome to contact [email protected].
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