EXA_PICO Universe Wiki
EXA_PICO Universe Wiki

Wave Theory, also known as Wave Science, Sound Science, Wave Physics and Phonetics; is the ficticious science that serves as the main basis for Song Magic, and everything that happens in the world of Ar tonelico and Surge Concerto.[1] [2]

Basic Section[]

Introduction to Waves[]

Composition of Matter and Static D-Waves[]

Matter is constructed from the complex entwining of multiple waves, which can have frequencies ranging from 1 to ∞ Hz. These particular waves are called [Static D-Waves (Static Detail Waves)], and they are characterized by always remaining at rest. The strength, directionality and spectra (frequency component) of the wave frequencies' energy act upon the microscopic points where each Static D-Wave rests, which is what make possible the change of matter from solid to liquid and gas.


Detail Waves and how they compose matter.

The Magic and the Dynamic D-Waves[]

Every single kind of paranormal power has its origin in the [Dynamic D-Waves (Dynamic Detail Waves). The Dynamic D-Waves that constantly appear and disappear are also the [ridges] that produce measurement errors in the Static D-Waves. They are the components of the Spectrum that produce the measurement errors on the coordinates of space where the Static D-Waves have their power field, and if they are placed over a time axis, they seem to be undulating, spreading and converging between them. If we take a look at a diagram of space coordinates stagnated with Static D-Waves, we would see there are measurement errors in their power fields and spectra components, but if we check the time axis for these same waves, we would see a different type of waves that constantly spread and converge in a way similar to undulation. These measurement errors become a surplus energy, and their unstable centers of power serves as the source of magic.

The Power of the Voice and the H-Waves[]

While sounds normally exist only in a frequency band that goes from 50 to 20000 Hz, whenever a living creature emits its voice they also output waves with an even higher frequency to a greater or lesser extent. These special waves that are unrelated to the D-Waves are called H-Waves, and are commonly known as the [Waves of Feelings]. The H-Waves are also split between [Dynamic H-Waves (Dynamic Hymmno Wave)] and [Static H-Waves (Static Hymmno Wave)], with the former corresponding to the singing voice and feelings, while the latter are said to be the source of life (life energy). Given that the H-Waves and D-Waves exist in different dimensions, the H-Waves cannot affect the material world by themselves, but under the supposition that they exist as well as the D-Waves in the frequency ranges that go from the lowest to the highest bands, their frequency components can be negotiated through the [Songstones] to be converted into D-Waves.

Wave Comparison Chart[]


Dynamic D-Wave


Static D-Wave


Dynamic H-Wave


Static H-Wave


Forms Dynamic energy Matter Songs (Song Magic), feelings Life energy
Nature Distortion of matter Matter itself Songs, brainwaves Cosmosphere
Kinetic Energy Level High Low High Low
Wave Type Ether wave Ether wave Astral wave Astral wave
Wave Nature Radiation, continuous motion Continuous rest Radiation, continuous motion Continuous rest

The Role of the Songstones[]

The Songstones contain two different components called [Grathnode] and [Parameno]. Paramenos reacts to the presence of Dynamic H-Waves by absorbing them and transmitting their energy to the neighboring Grathnode component. The Grathnode component then reacts to the distortion in the crystal's internal D-Wave composition by absorbing these Dynamic D-Waves, and once the absorbed energy has crossed the crystal's critical point, it emits these distortions upon its surroundings. This Dynamic D-Wave emission becomes the power to create matter from nothing. As the Grathnode component won't emit any energy except for the amount that exceeds the crystal's own critical point, it is quite frequent to find in nature crystals that have quite an amount of distortions absorbed into itself. Therefore, if a Songstone crystal is broken at the same time a sound is emitted, its emissions will always be similar in nature to sonic waves.

H-Wave Bands[]

As the Static H-Waves are what give form to the minds of humans and Reyvateils, it is possible to decipher even their emotions and concrete feelings by analyzing them. The device that systematizes this process is the Dive Machines. To summarize the basic process through which Song Magic is crafted, the Dynamic H-Waves emitted by the Diver (human) cause undulations in the Reyvateil's Static H-Waves, with these distortions becoming Dynamic H-Waves, or a new Song. The Static H-Waves are divided into the following frequency bands:

▼Individual Consciousness Fields...This band reaches at most the 116000000 Hz point, and it is the region where it is possible for an individual to be conscious of their own actions. It is also known as the [Cosmosphere], and it is possible to Dive in it.

▼Hymn Code...A band located approximately at 100 Hz above the 116000000 Hz point, which is characterized by the fact that no matter how much a person's feelings change, it will never change its shape. The First Era engineers took notice of this band's stability during the development of the Pureblooded β-Types and decided to add a prerecorded tag to the [FFT Spectrum] corresponding to it. Therefore, saying a Hymn Code is actually ordering the Tower to compare the FFT Spectrum of the Reyvateil that owns that Code against the record of her Spectrum stored in the Tower. This band is generally never passed down as genetic information, so the Third Generations do not have their FFT Spectra recorded within the Tower (in other words, they do not have Hymn Codes that were recorded into the Tower). There are rare cases like Aurica who did inherit a Hymn Code, but this is only because the Tower misrecognized them for another individual.

▼Shared Consciousness Fields...The region located in the highest wave frequencies, where the individual is unable to assert any sort of control and it is instead drawn in by other people's feelings, and their own feelings are affected by the feelings of others. This band can be used to exert control over others, which is why the Reyvateils' own Shared Consciousness Fields were created in shallow layers. During the events that led to the end of the Second Era, the Reyvateils started seething with hostility toward all humans regardless of who they were, but this was because the distrust each Reyvateil held toward the humans was greatly amplified, which caused them to lose control of themselves to the point of unconsciously attacking humans as a whole.


Comparison between the spectrum and frequencies of the different wave kinds.


Dives as Proven Under Wave Science[]

The area in which Diving is possible starts at the lowest wave frequencies, where Soulspace Level 1 is located (approximately in the 20000 Hz range), while Level 9, the highest one, is located in the highest frequencies (approximately in the 110000000 Hz range). Trying to interfere into wave bands any higher than that point could not only bring about the risk of destroying the Reyvateil's own mind, but it would also affect the minds of the Reyvateils that exist in points slightly higher to the Diver, and the Diver's own mind as well. As consciousnesses with a low wave frequency receive a great impact from consciousnesses with high wave frequencies, and it is necessary that the intervening wave frequencies of the Diver become so close to the wave frequencies of the intervened Reyvateil that they seem indistinguishable from each other, if the Diver is unable to interfere into the Reyvateil using the purest feelings (high-frequency Dynamic H-Waves) they hold for her, the Diver's mind will be devoured by the Reyvateil (the Diver will be unable to return to the real world). In order to avoid this danger, the concept of the Cosmosphere being divided into levels and the creation of the safety device known as the Mind Guardians were created in order to protect both the Reyvateil herself and the Diver.

Paradigm Shifts and Limits to Diving[]

When the Dynamic H-Waves of the Diver cause a remarkable peak on the Reyvateil's Dynamic H-Waves, the Reyvateil's own waveforms undergo a large undulation and a Paradigm Shift materializes. When the waves change into finer (higher frequency) waveforms, they are compelled to go a level higher within the coordinates shown in the FFT Spectrum. So in summary, a Paradigm Shift is the act in which a Reyvateil's waveforms are elevated to a higher frequency. The elevation of the Diver's consciousness triggers an elevation of the Reyvateil's consciousness, which makes it a process in which both grow together. Dives end at Level 9. At Level 9 there is a small low-frequency band that corresponds to the Hymn Code zone, and it is impossible to interfere in frequencies any higher than it under normal circumstances. Therefore, Divers cannot emit Dynamic H-Waves to interact with frequencies any higher than Level 9 regardless of how much they may

sympathize with any Reyvateil.


Comparison between the spectrums for different situations during a Dive.

The Obligations of the Dive Shops[]

Whenever a remarkable consciousness difference appears between the Diver and the Reyvateil, it is necessary to conduct an emergency suspension. Therefore, the Dive Operators have the duty of constantly monitoring the [FFT Spectra] of the people involved. Cases that would require such actions would be situations in which either the Reyvateil's waveforms or the Diver's consciousness suffer a striking drop. For example, if Aurica told Lyner [Come live in the Soulspace] and Lyner even thought [I'd be okay with that], this would cause a critical situation in which Lyner's waves would drop in frequency and Aurica's high-frequency waves would erode them. Therefore, the Dive Operators must always monitor the waveforms to keep such dangerous situations from occurring, though they are unable to see in any way what concrete events transpire within the Cosmosphere.

The Reason for Dives Into Humans Being an Impossibility[]

The structure of the Reyvateil minds, the [FFT Spectrum] is a waveform circuit designed by the humans, and the device (Dive Machine) for safely and meticulously examining it was designed at the same time as it. So if a human was examined through a Dive Machine, generally nothing would happen (there is a one-in-a-million chance of it destroying that person's mind though). So to Dive into a human, it would be necessary to analyze in detail the structure of the humans' Soulspace Map (Static H-Waves), but as only the analysis of the Dynamic H-Waves was completed during the First Era, the Soulspace Map of the humans was left an unknown. The reason for why it is possible to Dive into the Reyvateils who are hybrids with the humans during the Third Era is because their human Static H-Wave component is left undisturbed by the Dive Machine, as the replication of it they have as part of their Reyvateil structure is the only section that is drawn out to be examined.

Reyvateil Anatomy[]

Spectrum Gene[]

The existence that has the central role in configuring a Reyvateil's body is called the [Spectrum Gene]. This is an aggregation of Dynamic H-Waves that has a spectrum of a specific wave frequency, which gives form to a regular tetrahedron that maintains a 60° angle: the [Triangular Nuclear Loop]. Each Triangular Nuclear Loop contains the [Standard Spiritual Frequency] that serves as the individual clock to each Reyvateil, and its timing serves as the basis for the formation of the Reyvateil's Static H-Wave FFT Spectrum. The Spectrum Gene has an exceedingly low capacity for storing information, so whenever a clone is created, the combination of Parameno, Grathnode and the Triangular Nuclear Loop coupled with the effect of multiple [undulations] such as infinitesimal interference measuring errors will keep the new individual from being identical to the one that served as its basis. Therefore, they will not be completely identical despite being called clones.


The Nuclear Triangular Loop.

The Bodies of the Reyvateils[]

The Reyvateil body is basically composed from the same proteins that build the human body, but it also uses Grathnode compounds and Parameno compounds in order to protect the Triangular Nuclear Loop and to link together the H-Wave component (mind) and the D-Wave component (body). These compounds are materials that maintain a perfect balance and never have waveform displacements, similar to the Hymn Crystals. The Reyvateils constantly emit Dynamic H-Waves that have their [Spiritual Standard Frequency] as their source, and the Parameno and Grathnode contained in their bodies convert them into D-Waves, which results into the preservation of their material form (body). Therefore, it would be no exaggeration to say that the Reyvateil bodies themselves are produced by [Song Magic] as well. This is why it is said that the [Reyvateils at their core are made from sounds].

Special Characteristics for the Life Span and Growth[]

As explained previously, the Reyvateil body is created by magic, and if the Triangular Nuclear Loop maintaining it could sing eternally, it would retain an eternal youth. So in summary, the reason why the Pureblooded β-Types suffer next to no changes until the 150th year that is said to be the limit for their Triangular Nuclear Loops' life spans is because they were programmed by the humans in this fashion so their abilities wouldn't deteriorate. However, at childhood their bodies are formed as they grow, just like the humans do. This is because, while the Reyvateil body starts just as a Triangular Nuclear Loop, it continues creating its own body little by little, which translates to physically enlarging it (making it grow) and maturation of its own waveforms (which translates to mental maturation and learning). The [Hexagons] that serve as the Triangular Nuclear Loop's hinges contain Dynamic H-Waves that decrease in energy whenever the Reyvateil undergoes growth, and when their energy is completely depleted, the bodily growth will stop entirely. This is why it is said that the [Triangular Nuclear Loop] reaches its critical state when the Reyvateil is approximately of 18 years in age.

What Happens in the Bodies of the Third Generations[]

The reason why the Life Extending Agent is necessary for the Third Generations lies in the [Triangular Nuclear Loop]. Third Generations have the same body as the humans, but they also possess Reyvateil traits that attempt to construct their bodies through magic. However, given the Third Generations do not possess a [Triangular Nuclear Loop] that can generate Dynamic H-Waves, the [HD-Conversion Ring] that serves as one of the functions of the LPM (Reyvateil Life Preservation Mechanism) activates upon all zones of their bodies and starts causing their Static H-Waves to undulate (distorts them) to convert them into Dynamic H-Waves, with the result that it destroys their own bodies. The Dynamic H-Wave amount that the Reyvateil body demands gradually increases more and more until they reach 18 years, and once they have matured, the destructive power on the H-Waves will surpass the body's own capacity to replenish the consumed waveforms, causing their death.

Diquility is a mass of [Static H-Waves] that have no special properties, but possess a high purity. By Installing it, the HD-Conversion Ring will prioritize it as the source for the creation of Dynamic H-Waves, transforming it into energy. Given that it will lose its effects after three months because the distortion on the Static H-Waves will have magnified too much, this is why it it said that [Diquility is a life extending agent that must be applied once every three months].

Graphs 5

Comparison between the bodies of a Pureblooded Beta and a Third Generation.

Installs and Grathnode Crystals[]

The Cosmosphere has a checksum mechanism that verifies if the feelings are being transmitted to the Tower normally. To verify that the feelings are in fact being transmitted to the Tower in a 100%, if there isn't enough power to correspond to the feelings' strength, the mechanism sends off a feedback correction with the demands that must be obeyed so the energy may be sent normally. The Install is an act to deceive this [checksum]. For example, if we had the feelings [I want to save with a power of 10!] and we Installed a Grathnode Crystal called [Power Up+3], the checksum would misunderstand the feelings as [I want to save with a power of 13!]. As only a power of 10 is being sent from the Cosmosphere, a feedback correction stating [It is missing 3!] would be sent, but the energy would be forcefully sent anyways. As this makes Reyvateils use a power that they would normally be unable to use, it places a large burden on them. This creates a large discrepancy between the checksum and the Cosmosphere's feelings, with the consequence it dramatically increases the Reyvateil's mental fatigue.

Graph 6

Differences between singing with and without an Install.

Install Port[]

It isn't just the point of contact for carrying out the Installs, as it also serves as an I/O port that allows for interfering with the Reyvateil's Static H-Waves during a Dive (incidentally, it does not hurt during a Dive due to the fact that it is is touched and scanned). As this is the part that completely exposes the Grathnode compound, it also fully exposes the Reyvateils' own feelings, reason why they instinctively cover it from other people's eyes.

Hymmnos Language[]

The Hymmnos Language and the Causality of the Natural Laws[]

The Hymmnos Language was invented by the ancient shamans. While their Hymmnos incantations had no effects as [words], there were many cases in which they detected particularly large waves in the ultra-high frequency bands (DHWs above the 200000 Hz range) just from the knowledge and experiences they had been bequeathed from antiquity. Furthermore, they learned through trial and error that their incantations could bring about effects, and naturally came up with words that would be used in deeds such as making rain fall. Strictly speaking, the many Dynamic Waves that were contained in these words would cause an effect on the waveforms of the atmosphere's moisture by changing their tendencies to condensation, so in simpler terms, it was no more than changing the Static Wave component to compel the atmosphere to contain water. The energy a single person can emit on their own is quite weak and unable to bring about any sort of grand change, but they made it possible to enhance the effects by singing as large choirs composed by dozens of people. Furthermore, by making their consciousnesses synchronize with each other and make their pronunciation spectra resemble each other, they would cause resonances that would be capable of bringing about extremely powerful effects. The fact that the Hymmnos make frequent use of multi-track choral singing in the Third Era is because these experiences were handed down into them.

The [Tower of Origin] Interpreter[]

The predecessor to Ar tonelico, the [Tower of Origin] was not compatible with the Hymmnos Language. The only thing the Tower of Origin could do was a fixed, simple sequential playback of a specific frequency, so creating solid matter from the air was no more than a dream inside a dream for it. At best, the only things it could do were produce sonic waves, water and formless energy. In order to manifest more complex magic, it needed instant-by-instant emotional spectra that were deployed on the Time Axis, or [Songs].

The Songs and the ω-Spectrum (Time Axis Deployment)[]

Whenever a Song is sung, the singer is capable of thinking up every single instant from the beginning to the end of that Song in their head. The movement of the Time Axis constructs a free high-dimensional world inside the singer's brain, and if they sing even a single instant of that Song, that instant will extend as a straight line, pulling from the singer's brain the entirety of the emotions and vocal spectra that exist upon the Time Axis. What makes this possible is that by combining the audible band (50 Hz to 20000 Hz) and the [Individual Consciousness Fields] that exist above the 20000 Hz range, it is possible to deploy the Time Axis. The audible band (Song) serves as a [carrier wave], so as soon as it can cross paths with and seize the Spectra from the Individual Consciousness Fields, it can be used to convey [feelings]. The [Time Axis], the [Individual Consciousness Fields] and the [Energy] suffer complex tridimensional changes as they are entwined with each other, allowing for complex feelings and the manifestation of complex magic. These waves are what we know as the [FFT Spectrum]. And actually, by using the undulations of the heart in each microscopic δ-time unit and expanding each of their instants, the waves contained in them can manifest as a single magic. This deployment on the Time Axis that includes even undulations measured in microscopic time units across all time (which will not appear in the Third Dimensional space due to being Fourth Dimensional information) is called the ω-Spectrum.

Hymmnos Vocabulary[]

The Hymmnos vocabulary was made from the compilation of the shamans' rules of thumb, and it also had several additions made to it. As its name of [language of emotions] says, refining the pronunciations that would express a feeling the best and giving shape to the carrier waves (sound waves) that would allow to convey the waves of [feelings] for it (waves of over 20000 Hz) with the greatest efficiency, was how the Hymmnos word that translated to that [feeling] was created. The shamans had a great intuition, so even if we analyzed them scientifically, we would see that almost all the words have pronunciations (carrier waves) that are compatible with the feelings they carry, making theirs the best method. All the words that were created afterwards follow this same concept of making pronunciations that can carry feelings easily.

The Purpose of Ar tonelico (the Tower)[]

Ar tonelico manifests in the physical world the feelings of the Reyvateils. The Dynamic H-Waves contained in their Songs will produce a magical effect to a greater or lesser degree as long as there are Songstones nearby, but it would be extremely weak, not to mention that given that the Songstones' absorption capabilities worsen the more impure the crystal is, the singer would do nothing but exhaust herself without her feelings being properly conveyed. The Tower absorbs all the feelings in its Parameno part, and after amplifying them further through a feedback boost, it manifests them. So the Reyvateils using the resources of the supercomputer that the Tower is what makes it possible for them to unleash great powers they could never use on their own.

Wave Transmission Methods[]

The Reyvateils' waves are sent into the Tower through a Symphonic Power line located in their Cosmospheres called the [Tower of Life]. Given this gives them a direct connection, they can transmit their feelings to the Tower almost exactly as they felt them. It is due to this that the Reyvateils are able to send their requests for magic even if they aren't around the area of the Parameno Discs, and it was also the main reason that drove the development of the Reyvateils. If it was a human singing instead, the larger part of the waves they emit would be lost as they were transmitted through the atmosphere, making it next to impossible for the [Physical Parameno Discs] to receive them.

Why Humans Cannot Use Song Magic[]

The humans have large [fluctuations] in their Songs and emotions, so no matter how adept they might be at singing, they would never be able to craft and emit proper waves for them. Additionally, the majority of humans are also thinking of other things as they sing. Due to this, the feelings they put into [sound] component is inconsistent with what they are actually feeling in their [minds], which generates large contradictions in the FFT Spectra and render them unable to convert them into Symphonic Power. Sincere and unwavering [feelings] are essential for the Songs, which is the second reason that drove the development of the Reyvateils. This is because a Reyvateil demonstrates an astounding concentration power whenever she sings, which means they will disregard any attacks they may receive and just keep singing, unable to stop or defend herself. The Pureblooded β-Types have next to no fluctuations, while the Third Generations have large amounts of them. This is what accounts for the difference in their abilities.

Graph 7

Structure of the Hymmnos Words

Song Magic[]

Reasons Behind the Physical Manifestation of the Song Magic[]

Magic is explained in Wave Science as follows: [By applying Dynamic D-Waves upon a target point, changes will occur upon the Static D-Waves that exist in said point]. Static D-Waves are what give form to matter, with low-frequency waves corresponding to gases and high-frequency waves being solids. Consequently, an application of high-frequency Dynamic D-Waves will produce Static D-Waves of high frequencies, which means it will produce [something] from nothing. This in itself is an advanced kind of magic.

High-Load Index for Wave Frequency Difference[]

Magic in which there is a large difference in the wave frequencies requires particularly strong feelings. For example, the energy necessary to produce matter or utterly annihilate it requires feelings with a proportionately high energy level to be generated, even taking the Tower's amplification in account. The simplest way to increase the energy level would be to craft the magic in a high-level Cosmosphere. Magic crafted in high-level Cosmospheres approach from their level of origin to the Tower whenever they are sung, meaning that given that the higher levels are closer to the Tower, their feelings are easier to transmit and the Tower can return them as high-energy Dynamic H-Waves.

Graph 8

Process of Execution for a Song.

Bonus Explanation: The Relationship Between Aurica and Mir[]

Even among the people who possess Mir's genes, Aurica's Static H-Waves ended up having a large resemblance to Mir's own even in the highest frequencies of the Spectrum. Given that the wavelengths in their Hymn Code zones ended being so similar, Mir could easily open up Aurica's [Boundary Gate], manifest Viruses through her mind when she was at the Musical Corridor and also send the model data for Goddess Tyria into her Soulspace. What Shurelia referenced when she said that [Aurica might have a hole] was this similarity between their wavelengths.

Intermediate Section[]

The Laws of the World[]

The Definition of this World[]

World > Universe > Galaxies > Planetary Systems > Planets> Regions > Individuals

The extremely enormous "border" that shapes this universe is the world. And for clarifying the terminology used here, [Planet] is how we call the [Planet of Ar Ciel], and [Region] is how we call [Metafalss] and [Sol Ciel].

The Laws of the Universe[]

This Universe is made from waves, as well. The event that created [this world], called the Big Bang, was caused by just an small atomic nucleus. That atomic nucleus is called [Exa Pico], and by means of its enormous Will, it crafted the [Universe].

The other kind of existences, such as the stars and galaxies, were all born from Exa Pico, as well. The expansion from Exa Pico and indicating the creation of every thing has been said metaphorically in Metafalss as [Whenever Exa Pico crafts a song, it also creates something].

It can be said that the atomic nucleus of Exa Pico also composed an unlimited number of waves (Static Waves). And thus, each one of these waves (for example: the D-Waves) can be said in a unlimited number of ways that it also carries an unlimited number of wave frequencies as its components.

Exa Pico also emits the astronomical kind of waves at such a rapid and violent rate that our general concept of time isn't even able of measuring it. And when the expanding waves come from different directions and bump into each other, they cause interference to each other, and originate waves that have lost the equilibrium in their undulation. These new waves are the [Dynamic Waves] (Pic. 1).

The newly created Dynamic Waves will propagate through the space of this world, and create the [Universe] of Exa Pico. In short, we can say that the Universe, under the general concept of [World], is [an area where Exa Pico exerts its influence).

Thus, the expanded Dynamic Waves will create a new kind of waves, called Static Waves. This phenomenon is said to be the result of the Dynamic Waves created by Exa Pico expanding through the Sea of Num (the space where the amplitude and frequency of all the waves are zero). The theories established under Wave Science
stipulate that the Dynamic D-Waves gave their frequencies and amplitudes to the Sea of Num, and that created the Static Waves, turning the [Universe] into [Something that Continues to Exist]... or at least, that's what these theories say. (Pic. 2)

This wave interference doesn't happen because of special Static Waves. Except for the Dynamic D-Waves, all of the waves are the result of a simultaneous interference, which also produced the assembly of new atomic nucleuses. We actually could say that the Exa Pico continues creating an unlimited number of new assembled atomic nucleuses. Among these assemblies we have the stars, the black holes, and the waves of energy that are invisible to the naked eye. These countless creations are born from the [Song] of Exa Pico. The creations also include H-Waves, which, even if they are called in various ways, they aren't anything more than [Will]. Namely, they are the [Feelings] of Exa Pico.

At2 p142 derivation of dynamic waves

Derivation of Dynamic Waves

When two waves of the same kind (i. e. two identical D Waves) collide with other, the wave interference causes the creation of a new wave.

At2 p142 formation of the static waves

Formation of the Static Waves

Is only in this stationary point where the Dynamic Waves meet, and because of the resonance phenomenon, they are amplified, creating an static power exactly where they meet. That power ends turning into a new Static Wave.

The Laws of the Star Clusters and Star Systems[]

The assemblies of stars called Galaxies and Solar Systems are the product of the many kinds of waves released by Exa Pico. And thus, these [Star Clusters] are atomic assemblies which exist being essentially similar to Exa Pico. As we all know, this is because the Star Clusters themselves also have their own [Feelings]. However, these feelings are not actually of them, or from other entities. They are nothing else but the extraordinary feelings of Exa Pico. This is because the Star Clusters are existences that were contained inside of Exa Pico, which causes that the [Feelings of the Star Clusters] and the [Feelings of Exa Pico] to not be different at all. Thus, the Star Clusters, and the feelings that were contained inside Exa Pico, were what created the infinite number of stars that compose the Star Clusters. While this process keeps repeating itself endlessly, it will give birth to many new atomic assemblies, which take the shape we call the [Stars].

The Laws of the Planets[]

And when a [Planet] is created, the Will that supports its existence will even transcend the astronomical kind of mathematics. And it's because, as we have stated so far, the infinite number of waves released from Exa Pico, the Universe, and from the feelings of the Star Clusters, all exert an influence over the Planets. Because they all constructed [the atomic assembly of this Planet], it's that this Planet exists. And because of that, the Planet also has a Will of its own, its own [Feelings]. This Planet, which contains the regions of Sol Ciel and Sol Cluster is called [Ar Ciel] (which in Hymmnos means [This World]). The Will of the Planet Ar Ciel is what gave birth to everything that exists on its surface. From all the life forms, to its own shape, including its mountains and oceans, all of them consist of the waveforms that are affected by the Will of Ar Ciel.

The Laws of the Life Forms[]

Continuing, we will now discuss the topic of the [Life Forms]. The humans have a will, which is formed by their [Static H-Waves]; and also, they have a body, which is formed by their [Static D-Waves]. There is also a condition where they could lack D-Waves, and have only H-Waves, which is an existence we are used to call [Spirits]. The humans perceive the world through their [Eyes], though their eyes are no more than [Sensors capable of recognizing just an small part of the existent Static D-Waves]. This is the reason why they are incapable of perceiving H-Waves. Now, thinking under this paradigm, you should be able to think about the [Will] in a more deep way. The humans usually think that [The animals have will as life forms], [The plants are life forms, but don't have a will of their own], and [The stones aren't life forms, so they don't have a will]. However, all of this is but a misunderstanding caused by just judging from what they can perceive through their eyes. The animals simply [have a body and a will that allows them to move freely]. The plants are just [life forms that don't have a will that allows them to move freely], though you can see that they do have a component (their bodies) that does change over time. And the stones [don't have either a body or will that allows them to move freely], but they do have a [Will] of their own. So you can be sure that everything that exists on this world has a [Will] of its own.

The Atomic Assemblies and the Bodies[]

The atomic assemblies are [anything] that is always being created because of wave interferences. Because of this, Exa Pico crafted an unlimited number of things through the Static D-Waves and other kinds (such as the H-Waves, which cannot be perceived by the eyes), which was what created the universe. No matter if the end result is an star cluster or a planet, they passed through the same process to be created, and at the end, many things are being created inside of the planet. For things that are visible to our eyes, such as the atmosphere and the moisture, and also, the life forms, all are created through Dynamic D-Waves. Especially in regards to the life forms, whose main components are both Dynamic H-Waves and Dynamic D-Waves, and the union of these two kinds of waves with an infinite number of other kinds of waves, which are said to be the product of a wave interference of an extremely high level, are what gives life to them.

Like this, starting with Exa Pico, and ending with the life forms, is how all the environments originated, and how new [anythings] continued to be created, but... what about the [humans]? The answer is [of course they are being born]. For example, the Static D-Waves they call their [bodies] are like that too, being constructed by cells, and as long as these cells continue exercising their metabolisms, they will continue to live, thus being called [life forms]. Besides, the exterior of the body also creates many kinds of waves, such as heat and sweat. However, that clout is so small that it cannot be perceived. For example, if we saw this from the viewpoint of the planet, it would just be as thin as a paper sheet. More or less that is how we feel the clout of our cells. But speaking In general, the meaning of everything from Exa Pico to the humans being just atomic assemblies doesn't change. Everything that exists because of the same reasons as Exa Pico is a [life]. The difference between both is only in what kinds of waves constitutes each of them. Each one of the waves that we know also forms part of a bigger wave range, whose highest point are the waves that expand from Exa Pico (pic. 3).

At2 p143 the flow of the waves in the world

The Flow of the Waves in the World

The waves represented here are an schematic diagram of the supposedly infinite waves that expand from Exa Pico, which is on a upper rank in comparison to the star clusters, stars, and planets, among other things, and we can see how each one of the lower ranks inherit one part of these waves when they are created. In other star clusters there are also other planets, which means that they might have entirely different waves in their composition from the ones that Ar Ciel has. Furthermore, if the "father" part doesn't have an specific wave as its component, then, its "children" parts won't inherit it either. For example, if a sun doesn't have N-Waves on its composition, the planets orbiting it won't have N-Waves either. Following this line of thought, we can see that being apart in this universe by a relatively short distance doesn't go against the common sense. However, given how vast the universe is, there might be infinite places where the scientific paradigms existent on Ar Ciel might not be applied.

The Existence Called the "Voice"[]

The human atomic assemblies have a vertical area of influence of approx. 2 meters, which is where their own Static D-Waves enter into effect to mold their bodies. However, the humans surprisingly have also another extremely great power. This power is the [Voice]. The voice changes the Static D-Waves, and produces Dynamic H-Waves. As we said before, the Static H-Waves are [Will], and releasing the voice is an act of expanding the area of influence of the atomic assemblies by several hundreds of meters temporarily. And furthermore, the humans also have sensors capable of perceiving any kind of Dynamic H-Waves, as long as they are lower than 20.000 Hz. These sensors are what we call the [Ears]. Under Wave Science, the Ears are thought of as a prepared instrument that acts as a checksum for confirming the Dynamic H-Waves (Will) that we ourselves release.

The H-Waves - "Will" and "Feelings"[]

If we can call the Static H-Waves the [Will], then we can also call the Dynamic H-Waves the [Feelings]. Because the human atomic assemblies are comprised of Static H-Waves, the humans also have a Will, as we can prove under Wave Science.

According to the researches conducted in Sol Ciel, it has been explained that the humans are able to express Dynamic H-Waves in a range that goes from 1 Hz to 5.28x10^11 Hz. However, if they were to become waves from the highest frequencies, their H-Waves (feelings) would need to increase their strength in extremely great quantities. As for an example of things would be raise to raise the strength of the H-Waves, we can say things such as the instinctive (potential) [earnest feelings] and [impulsive feelings], which are what in the end produce Dynamic H-Waves containing great quantities of energy.

We can try to think about what kind of influence its exercised by the voice of a person causing interferences in the Will of others. When both read the same sentence aloud, one reading it with strong feelings, and the other one reading it plainly, the former one will resound more to the hearts of the people. Basically, it's because the Dynamic H-Waves of the first person were spread in the [words filled with feelings], and the more feelings they contain, the stronger is the energy they will have when they clash with the Static H-Waves of the receiver, meaning this will create wave interferences. Because of the judgement that all of the people generally make from their own viewpoints, we will notice with our eyes what we call the [movement] (the interferences of the Dynamic D-Waves), however, though we normally say that [I'm moved], we are also conscious that we can't see the moving of the heart (the interference of the Dynamic H-Waves)

Still, the Static H-Waves can be moved by many other things besides the voice. For some familiar examples, we could say the books or the movies. All of these can be either inorganic substances or atomic assemblies, but all of them are created by the humans, and both produced the human wave interferences, and they are what end forming the Static H-Waves. All of this can be resumed in that the [Will] and the [Feelings] are H-Waves, and they are present in every thing we can see.


So far, we have seen that the themes of this lecture were the capacity the humans have to see the D-Waves, and their ability of perceiving and emitting H-Waves. However, this actually means that the human atomic assemblies are not capable of emitting Dynamic H-Waves by themselves. However, the humans found a solution to this with the discovery of the [Songstones]. Because the Songstones are able to absorb with a good range the Dynamic H-Waves from any given source, and after storing the energy of the [voice], it can also release them converted into Dynamic D-Waves with an equally good range, effectively manifesting that energy into the physical world, and allowing them to be used. Once the humans discovered the Songstones, they became able to create Dynamic D-Waves at will, but unfortunately, its overall effects were too weak to be used in a greater scope. It also was discovered that the Dynamic H-Waves the humans released were filled with fluctuations, thus making them unable to control the power their feelings could generate. This eventually led to the creation of the [Reyvateils].

The Reyvateils and the Waves[]

Once the Humans realized their own limits, they began to research the H-Waves and D-Waves more deeply, and basing their theories on these two kinds of waves, they created the Reyvateils. And for maintaining the life cycle in their bodies, they made them so they needed only D-Waves and H-Waves, among the innumerable kinds of waves that may exist, to continue living. This is why they are a more simple version of the humans, who are constituted by seven different kinds of waves, and also, this is the reason behind being hard for the Reyvateils to come up with evil ideas. The reason behind this simplicity is related to being able to perform a process with extreme accuracy, making the Reyvateils so efficient that they effectively can't be compared with the Humans. Still, there are some phenomenon that are said to be impossible to cause in the human brains, and they can't happen in the Reyvateils either.

And from now, we shall be explaining about the Reyvateils as they are seen in an scientific way.

The main components that form the humans are the energies from seven different kinds of waves, with every one of these waves located in frequency bands that are between 1 Hz and 5.28x10^11 Hz. This also means that all the waves emitted by the humans, such as their vital energy, love, or any emotions, reach their limits at the 5.28x10^11 mark. No matter how much you fall in love, or how much enlightened you might be, the human waves can't cross the 5.28x10^11 frequency band, since that is a physical impossibility.

Because of this limit, the humans created the Reyvateils by scanning their own H-Waves, and made them similar to them, like if they were [clones of the humans, specialized in particular abilities].

And the memories and minds of the Reyvateils are preserved in Ar tonelico through a shape called the Cosmosphere, in which their Individual Consciousnesses are located in the frequency bands up to 1.16x10^8Hz, while any frequency band higher this is where their Common Consciousnesses are located. Furthermore, in all of the areas of the Cosmospheres, they are able to give a physical shape to all of their emotions, thanks to their direct connection to the Tower through the Parameno Discs. And more importantly, the Reyvateils are able to craft miracles called Song Magic (the conversion of Energy into Dynamic D-Waves through Ar tonelico) by sending their feelings to Ar tonelico (their Songs, which are essentially Dynamic H-Waves), which are created in response to their waves reaching a peak by cultivating their Cosmospheres.

And now, we will talk about the enhanced breed of Reyvateils created in Metafalss, the IPDs. They are different from the Standard Reyvateils by the fact that their Individual Consciousnesses were structered in a more shallow way, given that they are located in the frequency bands ranging from 2.0x10^4 Hz to 5.4x10^7 Hz. In the deeper bands, they were structured to have an special energy reserve called the E-Spot, which is their special characteristic as the [Reyvateils that were created to sing Metafalica](more details on page 91). However, having their consciousness limit lower than the other Reyvateils doesn't hamper at all the effects of their Song Magic. This, which was considered the biggest design failure of the IPDs, was discovered during their development stage, and ended being fixed thanks to the creation of the Hymmnos dialect used exclusively by the IPDs: the [New Testament of Pastalie].

And more importantly, they demonstrated that their Songs are more effective when compared to the ones used by the Standard Reyvateils, both time and effect-wise, since the IPDs could sing songs of an specific level faster and with better effects than the ones used by the Standard Reyvateils of the same level.

The Atomic Nucleuses [Sing][]

The Songs go through all the creation. This is because all of the atomic assemblies [are singing], starting with Exa Pico and ending in the inorganic substances. This is said to happen because [they are exposed incessantly to the waves]. As paradoxical as this might sound, if the atomic assemblies did not continue to sing, they would be unable to preserve the existence of their child assemblies. Taking an example from Song Magic, more precisely: Luca's restoration song magic [Triangle Tune]. While Luca sings the song, we can see the figure of a girl appear, but once Luca stops singing, the figure of the girl disappears in just an instant. This is because Luca stopped sending the Dynamic H-Waves that maintained the existence of Triangle Tune (or more strictly speaking, the Dynamic D-Waves that Ar tonelico released in response to her Dynamic H-Waves). And since the Dynamic D-Waves that formed her disappeared, she returns to the space (the sky) controlled by the [Dynamic D-Waves that are released from the great universe containing the Planet of Ar Ciel]. This is because Triangle Tune is not related anymore to the Will of Ar Ciel. All of the existences that are still over the Planet of Ar Ciel exist because of the Dynamic D-Waves that were produced by the singing of the Planet. All the other existences that may appear over it are allowed to be just because the Planet of Ar Ciel [allowed them to exist]. However, the Will of the Planet Ar Ciel will only recognize Triangle Tune as a friend during the time that Luca continues singing. That is why Triangle Tune cannot continue existing once Luca has stopped singing. Essentially, this is a law of nature, though the existence will not disappear only if its creator vanishes away. For example, a vacuum cleaner will not disappear, no matter if its inventor passes away. This is because, in the first place, the vacuum cleaner was created with the resources of Ar Ciel, so the inventor already made a mediation with the Will of the Planet. But from the viewpoint of the planet, the vacuum cleaner will end weathering

because there wasn't any mediation about [preserving its vacuum cleaner [condition]? Like this, all the things in the creation are singing. All of them, are what forms this world shaped by the songs (pic. 4).

At2 p144 the love towards song magic trans

The Love Towards Song Magic

An item, such the [Walking Gergo] created by Cloche, was created out from the raw materials of Ar Ciel, so it has received all the love from this star system. Because of that, no matter if Cloche dies or if Ar Ciel is destroyed, it will continue existing. However, a Song Magic, such as [Triangle Tune], is made from mechanical D-Wave interferences, and since it was created from a disruption in the natural order of the Planet, it cannot receive love from anything besides Luca. Because of that, Triangle Tune will disappear as soon as Luca stops singing.

The Only Love of the Second Tower[]

The Second Tower, located in Metafalss, only continues existing because it's exposed to the Dynamic D-Waves emitted from Sol Marta. Because the humans can perceive the D-Waves by various means, such as hearing and seeing, they settled down upon it, without even starting the doubt if this place was actually structured by just only D-Waves. However, in reality, this artificial structure does not exist over the Planet of Ar Ciel. And because it is an strange body that was not mediated with the love of Ar Ciel, it is supported only by Frelia's love. This means that if Frelia stopped singing (supporting) it, this structure would return instantly to its original state (in other words, it would vanish into thin air).

The Love of the World[]

The Planet of Ar Ciel, during more than 700 years has accepted an artificial assembly of D-Waves among its own waves, and this is because of Frelia's singing. As long as Frelia continues singing, we can say that the Tower is a "friend" of the Planet of Ar Ciel. Over the Tower, we can see that plants grow like if there was land, and they are nurtured by water. Yes, this means that the Planet has accepted the strange Towers as if they were a natural part of it. This love that does not require any compensation is "the love of the world", which is represented at its peak by Exa Pico, which continues allowing the existence to all the things in the Universe.

Continuation: The Laws of the World[]

Now, we shall return to the start of the second section of this lecture: [The Laws of the World]. The atomic assemblies of both Exa Pico and the humans are exactly the same, the humans are formed by cells within their bodies, and as if it was to allow them to live as they wished, the laws of the world connect everything in an equal way. Exa Pico, and more precisely, Ar Ciel, exist because that is the Will of the Universe. And since Exa Pico is receiving the love of this [World], that means there should be others. That also means that there might be another atomic assemblies that were created like Exa Pico: by the Big Bang that gave birth to the Universe.


  1. Ar tonelico: A Reyvateil's Melody forums: Official Materials Collections Translation Project thread
  2. Ar tonelico: Official Materials Collection - Wave Science section, pages 114-117.