Sequence: A sequence is an ordered list of numbers. For example, 1, 2, 3, 4 is a sequence. Series: A series is the sum of the terms of a sequence. For example, 1 + 2 + 3 + 4 is a series. Summation: The addition, and also the resulting value, are called the "sum" or the "summation". Use summation: 207,360=9 103,680=9 51840=9 25920=9 12960=9 6480=9 3240 =9 1620=9 00=0 09=9 18=9 27=9 36=9 45=9 54=9 63=9 72=9 81=9 90=9 180=9 360=9 720=9 1440=9 2880=9 5760=9 The number 25,920 is relevant in the context of astronomical phenomena, specifically the Earth's axial precession, a cycle that takes about 25,920 years to complete as the Earth's axis "wobbles," causing the Earth to shift its orientation relative to the stars. The equation 144 × 180 = 25,920 is a well-known mathematical connection in Isotropic Vector Matrix (IVM) geometry and sacred geometry. It correlates the 64 Tetrahedron Grid with the Earth's precession of the equinoxes. The exterior surface of the 64-tetrahedron matrix (a fundamental structure in unified physics and sacred geometry) is composed of 144 external triangles.180 Degrees: The sum of the internal angles in every planar triangle is 180°. 25,920 Total Degrees / Years: Multiplying 144 × 180 yields 25,920, which perfectly mirrors the 25,920-year cycle of the Earth's axial precession (also known as the "Great Year"). In astrology, there are 144 possible combinations for Mercury's placement in the 12 signs and 12 houses. This number results from the 12 zodiac signs multiplied by the 12 astrological houses (12x12=144). 12x12=144, A dodecahedron is a polyhedron with 12 faces, and in coordination chemistry, it refers to a geometry where ligands surround a central metal atom (in this case, Magnesium) in a specific, 8-coordinate arrangement. Dodecahedrane is a hydrocarbon, meaning it's composed solely of carbon and hydrogen atoms. The carbon atoms are arranged at the corners of a dodecahedron, a 3D shape with 12 pentagonal faces. The water molecules in the dodecahedron form hydrogen bonds that are individually slightly weaker than in either the dimer or the tetramer. However, because three-quarters of the O -H groups in the dodecahedron form hydrogen bonds, it has a more negative energy per molecule than either the dimer or the tetramer. Magnesium (Mg2+) is the essential, central metal ion in the chlorophyll molecule, crucial for photosynthesis by enabling light absorption and energy transfer. It is chelated by four nitrogen atoms within the porphyrin (or chlorin) ring structure. Chlorophyll appears green because it reflects light in the green region of the visible spectrum, specifically between 490 and 570 nm. The main resonance electronic frequency of a neutral Magnesium (Mg) atom corresponds to the transition from the ground state to the first excited state. Resonance Line Wavelength of Mg2+: 285.1nm (UVB light). The central atom of the chlorophyll molecule is Magnesium (Mg2+), which is coordinated within a porphyrin ring. The electronic "resonance frequency" of this central atom—meaning the frequency at which its electrons absorb energy—is primarily driven by the electronic transitions (ETR) of the surrounding conjugated chlorin ring structure, rather than a discrete atomic transition of the Magnesium atom itself. The resonant electronic frequencies of the chlorophyll porphyrin (technically, a chlorin) ring are determined by the energy required to promote π-electrons within its conjugated system, primarily appearing in the blue and red regions of the visible spectrum. In standard physics, Chloryphyll b has peak absorption at 460nm (Blue) and at 647nm(Red). If we take the blue peak wavelength 460nm and a UV-B, UVR8 peak absorption wavelength 285nm Tryptophan-285 (W285) Sensing protein. 460/285=1.618 Φ, If we take chlorophyll b's Red absorption peak 647nm and a UV-A of 400nm, we get 647/400=1.618 Φ. The cryptochrome photoreceptor (CRY) is a UV-A/blue light receptor that shares this dual sensitivity with several other biological structures and functions, including significant sequence similarity and a common evolutionary ancestor with DNA photolyase enzymes. These are light-activated enzymes that use blue/UV-A light to repair DNA damage caused by UV-B radiation in plants. Synergistic. Dodecahedrane (C20H20) is a hydrocarbon with a cage-like structure where carbon atoms form 12 pentagonal faces (a regular dodecahedron). It is highly symmetric (icosahedral), contains no delocalized electrons (no aromaticity), and has minimal angle strain, but significant torsional strain. Water Dodecahedron (H2O) forms hydrogen-bonded cages. While individual hydrogen bonds in this structure are weaker than in the linear dimer or tetramer, it has a more negative total energy per molecule. This is because three-quarters (75%) of the groups are involved in hydrogen bonding, creating a very stable, closed-shell configuration. a 3D carbon hydrocarbon (C20H20) to stable water clusters in hydrate, while the Magnesium ion acts as the central activator within a conjugated ring in biological systems, with its electronic absorption dominated by the ring, not the atom itself. 72 Years per Degree: The 25,920-year precession cycle is divided by 360 degrees, resulting in roughly 72 years per degree (25920 / 360 = 72). The number 72 is connected to the golden ratio in pentagonal geometry. The angles of a golden triangle, an isosceles triangle where the ratio of the longer side to the shorter side is 1.618, are 36°,72° 72°. The central angle of a regular pentagon is also 72(360°/5=72°). 72 beats per minute is the average resting human heart rate, and the average human lifespan historically mirrors one "degree" of this cosmic clock. The ancient philosopher Pythagoras taught that "geometry is space regularized, and music is time regularized." When you freeze a specific musical frequency, it manifests physically. This is visibly demonstrated in the field of Cymatics, where sound frequencies vibrated through sand on a plate form perfect, intricate geometric patterns. Higher frequencies create more complex sacred geometry. Trigonometry: The golden ratio can be expressed using trigonometric functions of angles related to 72°, such as in the formula for the cosine of 36° or the sine of 54° •The Tetrahedron totals 720°, (7+2=9) •The Octahedron totals 1440°, (1+4+4=9) •The Cube totals 2160°, (2+1+6=9) •The Icosahedron totals 3600°, (3+6=9) •Dodecahedron totals 6480°. 6+4+8= 18 1+8=9 6480+3600+2160+1440+720=144,000 The Sacred Cubit (or Royal Egyptian Cubit) is an ancient unit of measure, typically 20.6 to 25.26 inches, derived from the length of the forearm from the elbow to the tip of the middle finger. It was used to design sacred structures like the Giza Pyramids. Discovered and popularized by Slim Spurling in the 1990s, this technology involves measuring a specific length of wire—typically 20.6 inches (52.4 cm) based on measurements from the King’s Chamber of the Great Pyramid of Giza—and twisting/looping it into a "tensor ring". Within the context of Tensor Technology and sacred geometry, the Sacred Cubit is considered to create or resonate at a frequency of 144 MHz (megahertz). Proponents, such as Bruce Cathie and Jain 108, define the speed of light (c) as a "harmonic" value of 144,000 minutes of arc per grid second within a hypothetical universal grid system, rather than the standard physical constant of approximately 3x10^8m/s. 144x3 = 432 Unlike the standard tuning of 440 Hz, which is used in most music today, 432 Hz is said to be mathematically consistent with the patterns of the universe. It is often referred to as the “frequency of the universe” or the “miracle tone.” •The Cube (Hexahedron - earth) is 2160 degrees, 216 x 2 is 432 Everything is energy. Energy is represented by numbers. Numbers are frozen music. Music is moving sacred geometry of the Uni-verse. Here the tension comes from the interaction between spins, causing them to magnetically resonate. For these interactions, we found a series (scale) of resonant notes: The first two notes show a perfect relationship with each other. Their frequencies (pitch) are in the ratio of 1.618…, which is the golden ratio famous from art and architecture. It reflects a beautiful property of the quantum system — a hidden symmetry. Actually, quite a special one called E8 by mathematicians. •The E8 structure itself has relationships to Phi (1.618). The golden ratio is the limit of the ratio of consecutive numbers in the Fibonacci sequence. The number 144, which is the 12th Fibonacci number, appears in calculations related to the 25,920-year cycle in some esoteric contexts 144°x180°=25,920° total degrees in a 64-tetrahedra structure's surface). The outer surface of a structure made from 64 tetrahedrons, often referred to as the 64 Tetrahedron Matrix or the Isotropic Vector Matrix (IVM), is composed of 144 equilateral triangles. This complex geometry is significant in sacred geometry and some unified field theories. The 64 Tetrahedron Matrix is a three-dimensional representation that is related to the two-dimensional "Flower of Life" symbol, where the arrangement of spheres around each tetrahedron creates the dense sphere-packing lattice of the Isotropic Vector Matrix. The golden ratio has been reported to appear in the overtones of magnetic resonance at the quantum scale. Some theories propose a mathematical framework where the golden ratio is central to the absorption and emission of light photons (electromagnetic energy) by electrons. This dynamic process is linked to the fine structure constant, a fundamental physical constant relating the electron's charge, Planck's constant, and the speed of light. The ratio of certain color frequencies in the visible light spectrum (e.g., infrared to green and green to ultraviolet) has been posited by some researchers to approximate the golden ratio, suggesting an underlying harmonic principle. Philosophical and theoretical frameworks suggest that the golden ratio acts as a "universal resonance constraint" for frequency in a unified mathematical model of reality and consciousness. Electromagnetic vibrations, such as those from electrons and photons, are thought by some to travel along biological structures like proteins and DNA, where the golden ratio is found in geometric patterns, suggesting a link to biological electromagnetism. The golden ratio emerges in discussions regarding quantum gravity, black hole physics, and even the potential shape of the universe (a dodecahedron based on 1.618) The geometry is considered fractal, meaning it can be scaled infinitely while maintaining its fundamental properties and structure. An infinity mirror dodecahedron is a geometric light sculpture that uses the principles of an infinity mirror to create an illusion of infinite space or a "tunnel of light" within a 12-faced shape. We become aware at such times of man's wonderful ability to bring seemingly unrelated elements into harmonic balance, and receive a glimpse into a world where everything exists in conscious sympathetic attunement to everything else. When we listen to a piece of music that seems to strike a beautiful chord somewhere inside us, or view a painting that simply glows with harmonic awareness well executed, we probably do not spare much time to contemplate the wonderfully intricate combination of vibrations that our sensors make it possible for us to perceive. We tend to appreciate the relationship between the parts of something by an awareness of the harmony or dissonance of the whole. This ability enables us to say "what a beautiful house!" instead of "analysis has proven that this collection of building materials exhibits certain elements of harmonic proportion." While this ability to instinctively appreciate the beauty of true harmony has an important role to play in evolution, a more analytical understanding of the laws involved can be most useful. This is especially so if we wish to create works of art where each part exists in true harmony, not only with the other part of that particular whole, but with the universe within which the creator and the created exist. Everything vibrates. From the most dense matter to the most subtle cosmic rays, everything which our senses allow our thoughts to become aware of, can be specified in terms of wavelength or frequency of vibration. These two terms define the same thing, but from different points of view. The following are the approximate wavelengths of various energy carriers: Cosmic rays 0.000,000,001 mm Gamma rays 0.000,000,1 mm X rays 0.000,500 mm Ultraviolet rays 0.003 mm Visible light 0.006 mm Infrared 0.01 mm Sound waves 1 meter Radio waves 300 meters Violet light 400 nm to 450 nm Blue light 450 nm to 500 nm Green light 500 nm to 570 nm Yellow light 570 nm to 590 nm Orange light 590 nm to 610 nm Red light 610 to 700 nm 1 nanometer (nm) = 0.000,000,1 cm = 1/10,000,000 cm If a guitar string is plucked and we hear a sound, it is not too difficult for the human mind to associate this sound with the vibration of the guitar string. With color it is quite different. It is difficult for us to conceive that the color of a substance is not an inherent property of the substance itself, but an indication picked up by our senses of that substance's ability to absorb or reflect the light which happens to be shining on it at that moment. Neither the matter nor the light is colored. What happens is that the brain learns to differentiate between the frequencies reflected or transmitted by the substance the eyes are focused on. The same thing happens with sound. When we say "Oh! Listen, they're playing my favorite song," what we really mean is: "My brain has stored within it a particular pattern of frequencies. I have compared the new information being received with this stored pattern and have deduced the answer that the two patterns are similar within certain specified tolerances." The 'pleasure' involved could have something to do with our running the pre-recorded pattern at the same time, in 'sympathy' with the new pattern as it is received. The word sympathy describes very well our ability to appreciate color and sound. It also describes the reason behind certain elements of harmony. For instance, if a substance vibrating at 100 cycles per second (tone 1) is in the proximity of another substance vibrating at 200 cycles per second (tone 2), we could perceive, if we had the right equipment, a certain sympathetic relationship between the two. We will see from this that there is a uniform doubling of the first tone seen in the second. At various points along the waves, the two are the same in amplitude. At other points, they are at opposite poles to each other. This doubled frequency has more points of similarity to the original than any other frequency except the original itself. If the equipment we had available for measuring these two frequencies was a soundboard amplifier and a pair of ears, then we would hear what would sound to us like one tone. If we had the opportunity to hear one at a time, we would hear that although they sound the same, one is higher in pitch than the other. This characteristic of 'the same but different in pitch', musicians have called the octave. Any two tones produced where one has exactly doubled the frequency of the other is called an octave. Speaking in ratios, an octave would appear then as the ratio 2:1 or 1:2, depending on whether we are talking of an octave up or down. A single note produced by almost any instrument will contain more than one wavelength or frequency. It will have a dominant frequency, the wavelength of which we would call the note's 'fundamental' or 1st harmonic. It will also have a varying number of upper harmonics, gradually fading in intensity into infinity or silence. Natural harmonics always have the same pattern of intervals between them. The interval between the 1st and 2nd harmonic is a perfect octave; between the 2nd and 3rd a perfect fifth; between the 3rd and 4th a perfect 4th; and so on, the intervals becoming smaller and smaller until they lose any relationship with the western 12 tone scale as it exists at the moment. Just as an octave has certain elements of sympathy with its fundamental, so some intervals have been noted to be more perfectly in sympathy with the fundamental than others. The ratio of the 'perfect 5th' or interval of 7 semitones, as it occurs in the harmonic series, is 3:2 or 2:3, while that of the 'perfect fourth" is 4:3 or 3:4. All the tones in the western 12 tone scale can be expressed in terms of the ratio between the upper tone and its fundamental. This would seem to be an ideal way of generating a scale from any given fundamental and several attempts have been made to do this, the Pythagorean system being probably the most well known. Although when working with a single tone instrument playing on its own, the Pythagorean formula works wonderfully well, if we had several instruments tuned this way together and asked them to play almost any western music, we would find that at times they sounded quite out of tune to each other. The lack of flexibility of the various scale systems based on the harmonic series has led to what is known as the 'tempered' scale. This uses as its primary unit of interval the ratio of the octave or 2:1. It then proceeds to divide the interval between any fundamental and its upper octave into 12 smaller intervals by applying the ratio: two to the one-twelfth power, to one (21/12:1). This equals 1.059463094, so by multiplying any frequency by this number, we will obtain the tempered semitone next up from our fundamental. We will also find that any tone twelve semitones up from any other tone, in a scale generated in this way, will have exactly double the frequency. If we took the note middle C on a piano and halved the wavelength, we would have the note C one octave above. If we halved this, we would have the C above, and so on. However, within about 6 octaves, we would find that although a 'sound' was being produced, no human ear could perceive it. If we kept on going, halving and producing upper octaves of our fundamental C, we would proceed through the infrared band, into the visible light spectrum. If we happened to be outside during the day, we would, for one octave only, see the note C with our eyes. The next octave above would already be in the ultraviolet band, and outside the eye's sensitivity range. If we can think of color as being an indication of a substance's vibratory rate or wavelength, we may begin to see a relationship that could exist between the color and sound spectrums. The logical extension of what has so far been said is that there exists a scale in the color spectrum that corresponds exactly to the scale in the sound spectrum, each color tone being an octave of the equivalent note in the sound range. This is not the end of the story but only the beginning. If we can for the moment accept that any wavelength in one band has upper and lower octave stretching out to infinity, then the next question is 'fine, but what shall we use as our fundamental? A particular color? A particular sound frequency?' The musicians among us will probably say 'A 440'. This means that the note A should vibrate at 440 Hertz, or 440 times per second. They would tell us that this is standard pitch has been adopted by most orchestras around the world; pianos are tuned to it, instruments are constructed to formulas based on it, and so to them it would probably seem the most appropriate place to begin. Some of these musicians may know of the battle that is still raging with regards to this being the standard, but few would know why A = 440 Hz was chosen except that it worked when it was set to be a suitable compromise between the many different pitches in use at the time. 432 Hz is said to be mathematically consistent with the patterns of the universe. Studies reveal that 432 Hz tuning vibrates with the universe’s golden mean PHI and unifies the properties of light, time, space, matter, gravity, and magnetism with biology, the DNA code, and consciousness. When our atoms and DNA start to resonate in harmony with the spiraling pattern of nature, our sense of connection to nature is said to be magnified. Another interesting factor to consider is that the A=432 Hz tuning correlates with the color spectrum, while the A=440 Hz is off. Audiophiles have also stated that A = 432 Hz music seems to be non-local and can fill an entire room, whereas A=440 Hz can be perceived as directional or linear in sound propagation. Once you adopt the idea that sound (or vibration in general) can have an equalizing and harmonizing effect (as well as a disturbing effect), the science of harmony can be applied to bring greater harmony into one's life or tune to specific energies. There is a form of absolute and relative harmony. Absolute harmony can, for example, be determined by the tuning of an instrument. The ancients tuned their instruments at an A of 432 Hz instead of 440 Hz - and for a good reason. There are plenty of music examples on the internet that you can listen to in order to establish the difference for yourself. Attuning the instrument to 432 Hz results in a more relaxing sound, while 440 Hz slightly tenses up the body. This is because 440 Hz is out of tune with both macro and micro cosmos. On the contrary, 432 Hz is in tune. To give an example of how this is manifested microcosmically: our breath (0,3 Hz) and our pulse (1,2 Hz) relate to the frequency of the lower octave of an A of 432 Hz (108 Hz) as 1:360 and 1:90. It is interesting to note that 432 Hz was the standard pitch of many old instruments and that it was only recently (19th and 20th century) the standard pitch was increased. This was done in order to be able to play for bigger audiences. Bigger audiences (more bodies) absorb more of the lower frequencies, so the higher pitch was more likely to “cut through”. One of the oldest instruments of the world is the bell ensemble of Yi Zeng (dated 423 BC), tuned to a standard F4 of 345 Hz, which gives an A= 432 Hz. The frequency of 345 Hz is that of the platonic year! Similarly, many old organs are tuned in A=432 as well; for example, St. Peter’s Capella Gregoriana, St. Peter’s Capella Giulia, S. Maria Maggiore in Rome. Maria Renold’s book “Intervals Scales Tones and the Concert Pitch C=128 Hz” claims conclusive evidence that 440 Hz and raising concert pitch above scientific “C” Prime=128 Hz (Concert A=432 Hz) disassociates the connection of consciousness to the body and creates anti-social conditions in humanity. The difference between concert pitch A=440 Hz and Concert A=432 Hz is only 8 cycles per second, but it is a perceptible difference of awareness in the human consciousness experience of the dream we share called existence.