My Little Grundgestalts

Here I describe the algorithmic music I call "Grundgestalts" and other compositions

Hi Everyone,

this is to announce the release of my album, “Unknow”. It includes all the tracks that I composed throughout the last few months, which was a very precious time for me. It marks the end of another stage of me — another “phaze,” as Frank would call it. It includes tracks that I composed, in the proper sense of that word; and it also comprises algorithmic compositions — what I call “my little Grundgestalts.” My primary objective is to get better at this and to develop myself a little further as a composer; for this, I'd need your help. I'd love to hear from you with your remarks, advice, suggestions, criticism...

...And if you happen to like my work, please consider to follow me on my bandcamp and “like” my FB page.

From the bottom of my heart, my thanks to you for your trust and continued support.

Musically yours, Eidon.

P.S. I'd like to share with you how I came up with the cover of “Unknow”. This can be done in four moves:

1) This is the original picture I used — a drawing by comics artist Magnus. Here a middle aged man, Unknow, is watching his image reflected by a mirror. He is asking himself: “Hey, Unknown, how are you doing?” (in the original, “Ehilà Unknow... come ti va?”).

2) A first processing is shown here: beside the first picture, an upside-down copy is shown. The effect reminds me of certain cards in the game of poker. Two “eyes” seem to appear on the top and the bottom of the image.

3) Four “eyes of Horus” are overlapped in correspondence to the four “eyes” emerged in the second picture. The right eyes and the left eyes are specular.

4) Final picture: a Gimp filter is applied to the previous picture. I think the effect is mysterious, obscure...


Why do I compose music? And why do I experiment with generative compositions? I think I know now.

It's for the thrill.

The thrill that I get when certain magic combinations and ideas work beyond what I could ever have anticipated.

That is what happened with this work. Let me explain a little.I started to work on it two years ago. My game simulator provided me with three voices. I did something new. I only focused on one of them — the one corresponding to the cards the players were accumulating “on the table” as a result of their moves. I had the idea that that voice was a theme. A theme for a fugue.I started playing with it. For some reason, I decided that I was not ready yet. That piece required some time — it had to “leaven up.”

A few days ago I finally decided to focus on this idea once more. I listened to it. I understood what it wanted me to do. I applied the voice in new ways, as I was instructed to do. From that voice.And from the sum of its parts — actually being the very same, repeated part — this “Fugestalt” (portmanteau of “Fuge” and “Gestalt”) finally emerged.And I finally realized why I compose and why I experiment.

The video took me a lot of time to complete. It uses chunks that I extracted from the video “2019 Mount Robson Marathon”. I wrote a software that combines the chunks following the voices of this fugue. I hope you'll like it.

The song can be downloaded in lossless format from my bandcamp.

Please follow me on #bandcamp, via, on youtube, and facebook.

Best, Eidon.

A photo I took at the Leuven Botanical Garden, with an eye of Horus superimposed on it. Photos and composition © Eidon, all rights reserved.

I have been reading a really wonderful book these days — “Il Pensiero Giapponese Classico”, in English: “Classical Japanese Thought”, by Professor Massimo Raveri.

More than a reading, mine is a meditation. I read and reread, and each time I find in those pages a new gift, a new surprise — a new Lotus.

These days I have been captured by Chapters VII.4 and VII.5, respectively entitled “The Mystery of the Voice” and “The Mystery of the Mind”. The underlying topic is the Esoteric Buddhism of the great Master Kūkai (空 海), founder of the Shingon school of Buddhism (“True Word”, 真言). The “true word” is the mantra, and the mantra is more than just a word: Kūkai in fact

“postulates the existence of an “other” linguistic modality, perfect and unconditioned: the shingon 真言 (mantra): the true sounds, the true words”. (Massimo Raveri, “Classical Japanese Thought”) .

I refer to the text just mentioned for further information on this concept. Here instead I want to move on to an idea that immediately caught my attention: the so-called sacred syllables that come to compose the mantras:

They are defined as shuji 種子 (bīja), that is “seeds”, because they “generate” all the letters by analogy. When repeated in meditation they disclose the deepest knowledge of the Buddhas, in the same way that the seeds contain the potential to blossom and bear fruit. (Massimo Raveri, cited work).

Shuji are syllables that contain, as if compressed, divine concepts. The shuji, emitted in one of the “exact” modalities, express the shingon, which in turn enclose in their entirety and express the “words of god” and of the Initiates.

A first observation that comes to me is that this generative process is a bit like a pipeline of sub-processes.

But more important, I believe, is the fact that these subprocesses are actually all based on the same holon, the “genetic” transformation of a seed into a phenotype. For Kūkai the shuji and the shingon are in fact fundamental forms — “seeds”, genotypic of a generative process that produces revelation phenotypes.

Continuing further in the reading, we learn that this interesting founding concept is not exclusive to Buddhism, and that indeed it closely corresponds to an autochthonous and pre-existing concept of Japanese thought — that of the kotodama (言霊). Kotodama are words that

“contained the essence of the divine entity that they could subjugate, or of the action they designated and could arouse. They were pronounced within an ecstatic rite, and with extreme attention, because it could be dangerous to activate the “soul of the word”: that could awaken its most secret power and unleash uncontrollable forces.” (Massimo Raveri, cited work).

Magic words, then? I think not. My “way” to understand the kotodama is through a reverse path to that of the shingon. I imagine the kotodama as an extreme, condensed synthesis of a truth. It makes me think of mathematical formulas — such as E = MC², just to give an example. We could call this formula as “f”, and it would be a sound with the power of the atom in it. This is because once dissected, processed, updated, the “f” phenotype could take the form of a nuclear power plant or that of a terrorist attack perpetrated with the power of the atom. From what I understand, the kotodama are therefore not mere words, but the arrival points of a movement from the dimensions of the multiple to the dimensions of the One; a process of understanding, synthesis and compression of reality.

Kotodama / Shingon, organized in more complex elements and issued according to precise rules, lead directly to the concept of musical composition. And there is indeed a close link between the Shingon School and music.

The notes themselves can be more than building blocks; they can themselves be formulas, like mantras condensed into One sound, One word, One concept, One soul: kotodama. In a composition generated from that seed, an apparently complex, multiple, structured concept unfolds (reveals, decompresses itself). The kotodama generates it, but it is also proof of the simple synthetic form it can take. It is the small crevasse from which the impetuous river rises, and its development, like a maṇḍala, allows us to visualize its path, the whole but also its origin.

“Star Mandala at the Kumeidadera Temple”. The Kyoto National Museum.

In its unfolding, the kotodama gives rise to a construction which consists of other subsidiary, phenotypic “bricks”. And utters other “complementary bricks” through their absence.

In all this, the executive practice is fundamental, because it represents the resilience of the phenotypic construction process. The healthy body generated by a Mother is a miracle that requires a precise, predetermined succession of elementary steps. Steps also encoded in the same genotype that is materializing within the phenotype. Which can be represented again through the kotodama “f”, for example.

If I say “f”, what happens in the listening minds? It depends on how much those minds have built within themselves. If the understanding is complete, and if my pronunciation is correct, the miracle of development takes place: “f” becomes for example the concepts I am expressing in these posts.

Voice — the seed, the input, for example “f”;

Mind — the process of interpretation and development, f; and

Body — the output of f(“f”), the composition, the Grundgestalt produced by the Grundgestalt. They are the three Mysteries of the Shingon.

The dimension of the kotodama, as well as of the shuji, is therefore that of synthesis — that of the passage from the multiple manifestations to the single law that regulates and summarizes them all. They are the most intimate understanding of the manifold — the utmost perfection and most succinct elegance. Uttering “f” already says everything there is to say — of course, if the recipient has made the right reading mechanisms their own. The meticulous precision of the interpretative dictates of the shuji symbolizes the underlying algorithm, that f function I was talking about here. Moving away from the “norm” is wrong in this case because by distorting the f one arrives at very different, distant, unexpected, potentially misleading, concepts.

Shuji, shingon, and kotodama “speak” of decompression, of a passage from potential to act. This potential is already contained in these seeds regardless of how it will actually manifest itself. Depending on the humus in which it will be placed, the shuji genotype can generate a thousand phenotypes, a thousand different materializations of the same concept.

It is therefore understood how the dimension of the phenotype, the physical world, can be considered as a “vulgarization” of the genotype, a bit like it is vulgar that a concept be taken as true (resp. false) without a personal meditative process of understanding leading to its acceptance (resp. rejection). The unitary and independent elegance of the genotype is expressed in a list of phenotypic details that make you lose sight of the whole.

It is the seed the truth, the power, the uniqueness, the blueprint, the monad — the Grundgestalt. As a child gets lost in front of the list of components from which, for example, a car emerges, so often we get lost when we observe the sensitive, floating, illusory world, made of matter which in reality is mainly made of emptiness.

Image from pinterest.

One more quote from Professor Raveri:

[...] “The Three Mysteries, sanmitsu, 三 密, with which the supreme Buddha preaches. Kūkai writes:

The Three Mysteries pervade the entire universe adorning the maṇḍala of endless space in glory. They are painted with brushes from mountains and ink from oceans. Heaven and earth are bindings of a sūtra that reveals the truth. All things in the universe are reflected in one point. The holy book is contained in the data of senses and mind, it is open or closed depending on how we look at it. The sun and the moon shine in space and on water, undisturbed by strong winds. Good and evil are relative in His preaching. The concepts of “I” and “you” are erased and forgotten. When the sea of ​​our mind becomes serene in the wisdom of deep meditation, He totally reveals himself, like flooding water”,

like flooding water, like a rushing river ...

And here are two little maṇḍala's, geometric phenotypes of genotypic kotodama's:

© Eidon ( I would like to condense these strange ideas of mine into an overall text, for which I reserve all rights of dissemination and publication.

Let me conclude with the Word of Frank Zappa. And his Word is “Big Note“:

“Everything in the universe is ... is ... is made of one element, which is a note, a single note. Atoms are really vibrations, you know, which are extensions of THE BIG NOTE ... Everything's one note . Everything, even the ponies. The note, however, is the ultimate power, but see, the pigs don't know that, the ponies don't know that ... “

(Spider is Very Distraughtening ~ Lumpy Gravy)

Kind regards,

Grundgestalt is a German word meaning fundamental form. The fundamental form, in music, is a concept introduced by Schoenberg to indicate the idea that is the foundation of a piece of music. This basic idea, in Schoenberg, is not just the idea from which a piece “starts”; in reality that idea is the piece itself, or rather its gene within which the whole piece is already contained and from which the whole piece can be derived through a mechanical, deterministic procedure. The Grundgestalt is therefore the most compact form to express a piece of music; a genotype from which a complex phenotype can automatically be derived, yet all contained in the initial seed. In a sense, it is the most compressed form of a certain musical information — the developed piece. Grundgestalt, in other words, is the foundational, basic form of a complex musical idea.

This is expressed by Schoenberg in his 1950 article, in which he states:

“Whatever happens in a piece of music is the endless reshaping of the basic shape … There is nothing in a piece of music but what comes from the theme, springs from it and can be traced back to it; to put it still more severely, nothing but the theme itself.”

So the theme is the Grundgestalt, and it is at the same time the piece of music that a certain algorithm decompresses. Or, we could say, realizes (makes real), or gives birth to. I also like to think of it as an isomorphism that preserves the meaning by passing from a genotypic to a phenotypic domain.

More about these ideas can be found in the post “Esoteric Buddhism, Grundgestalt, with a touch of Frank Zappa”.

My little Grundgestalts

I don't know what the Grundgestalt for Schoenberg was in practice. In fact, I just don't understand how he could have created a compositional model like this without the aid of modern computers. But I, who live in a different era, have been able to play with compositional models based on the Schoenberg Principle with relative ease. The idea comes from the definition of dynamic system: we have a function f and a domain value x; we compute f(x) and use it again as input to f (of course we assume that f(x) is still part of the domain of f). We end up with a series of values:

x, f (x), f (f (x)), f (f (f (x))), ...

and so on. Dynamical systems mathematics studies the properties of these series as x and f vary. And this is the mathematics of the Grundgestalt, in which x is none other than the theme that Schoenberg was talking about!

Hence it is possible, and now even simple, to create a compositional model that follows Schoenberg's theory. If my function f acts on a domain made of musical objects, andthe series of values ​​x, f (x), f (f (x)), etc., produces musical compositions. And those musical compositions necessarily derive from the choice of f and the choice of x. In a sense,

There is nothing in a piece of music but what comes from x, springs from x and can be traced back to it; to put it still more severely, nothing but the theme x.

I like to call Grundgestalt those pieces of music that fit this definition — this math. And my pieces are just Grundgestalt. I use two functions f (one of which is computed by this program), while my x are simple alphanumeric strings. Some results are surprising to my ear, inexplicably so. You can listen to them here and here.

A small selection of my Grundgestalt ...

... which I will expand little by little:

Addendum – Zappa's Big Note:

“Everything in the universe is ... is ... is made of one element, which is a note, a single note. Atoms are really vibrations, you know, which are extensions of THE BIG NOTE ... Everything's one note. Everything, even the ponies. The note, however, is the ultimate power, but see, the pigs don't know that, the ponies don't know that ...”

(Spider in Very Distraughtening ~ Lumpy Gravy)

license This work is licensed under a Creative Commons Attribution 4.0 International License. Author is Eidon.

license Quest'opera è distribuita con Licenza Creative Commons Attribuzione 4.0 Internazionale. Ne è l'autore Eidon.