LAMBDOMA
Text: http://www.lambdoma.com/Home.html THE LAMBDOMA The Lambdoma Matrix is attributed to the philosopher Pythagoras (500 bc) who spent over twenty years as an Egyptian initiate. The concept of the Lambdoma Matrix in the present age is relatively unknown, and is not cited in most dictionaries. On the surface, it appears to be nothing more than a mathematical multiplication and division table. On a closer look however, it bears a one-to-one relationship to musical intervals in a very specific harmonic series. Because of its numerical framework of ratios, it can be translated into frequencies of audible sound. The Lambdoma bears relationships to aromatics, chemistry, crystallography, cybernetics, art, music, geometry, all of which may be explored by those interested in the above disciplines. The Lambdoma bears mathematical relationships to Issac Newton, the Diophantine equations and the Farey series, as well as in the present century to Georg Cantor. It can be seen as a visual and philosophical foundation for some of the concepts which are inherent in the Lambdoma Matrix. This book was the result of a visual artist trying to interpret the matrix as a template of some of the truths to be unearthed in an ancient archeological site of a geometric musical grid field, where each note is colored according to Pythagoras' and Newton's color-coding of musical notes. The color coding of the notes is as follows: C's reds, D's oranges, E's yellows, F's greens, G's blues, A's indigos, B's purples. When you look at each page, you may even play the notes by color or letters on a musical instrument as if reading a score. The art on the following pages was all done (without a computer) in the early 1970's as attempts to visualize the shapes of sounds, based upon the model of the Lambdoma grid. The tools were only compass, straight edge, pen and colored markers. Most importantly, it only took a willingness to experiment with wavelengths of sound, according to the ratios imbedded in the Lambdoma array. These ratios bear a one-to-one relationship to specific musical harmonic intervals. Any given length may be divided into one-half to one-sixteenth segments, which include a scale of eight harmonic musical intervals from P, Q, R, S, T, U, V, and W, or from A to Z of twenty-six micro tonal intervals. (continued) ------------------------------------------------------------------------ http://members.aol.com/Lambdom/Home/ILRIHomePage.html International Lambdoma Research Institute Welcome! The International Lambdoma Research Institute (I.L.R.I.) was founded in order to encourage and promote the continuing research and application of the Lambdoma and to spread the understanding of the wisdom and relationships which are encoded in its matrix of whole number ratios. This research includes relationships between musical intervals, colors, geometric forms, mathematics, room resonances, chakra energy centers, rotations of planets, the periodic table of elements and altered states of consciousness. Our mission includes the research and development of the Lambdoma Harmonic Keyboard. Our research also studies some of the mathematical similarities between the Lambdoma Matrix, Cantor Array and the Farey Series. Music and art applications include computer based music compositions from unique software programs developed using specific ratios for frequencies in cycles per second coded into the Lambdoma Matrix, as well as computer based visual mandalas from the same source. Some Categories of Research and Development: 1.Examples of visual art in color based upon the Lambdoma ratios of wavelengths. 2.Protocol with the Lambdoma Harmonic Keyboard. 3.The tuning principles of the Tetra-Harp, a three sided, acoustical, 12-string, musical instrument. 4.Architectural ideas based upon the harmonic ratios of the Lambdoma matrix, such as room resonances translated into musical harmonics. 5.One to one relationships of the Lambdoma matrix with two known mathematical systems: the Cantor Array, and the Farey Series (the latter correspondence attributed to Erv Wilson). 6.A helium-neon Laser used with the Lambdoma Harmonic Keyboard to demonstrate the Lissajous figures of mathematically precise intervals in music. 7.Relationships among complimentary colors, complimentary musical intervals, complimentary chakra energy centers. To experience a short sequence of the Lambdoma sounds via Real Audio click on the waveform above! If you do not have Real Audio click here to obtain a free copy! (Remember to use your browser's back button to return here!) sample illustrations: http://members.aol.com/Lambdom/Home/Ref14.gif Glass Bead Necklace This computer generated necklace model was based on the book by Hermann Hess "Magister Ludi, the Glass Bead Game," where it seemed that the Lambdoma Matrix might be a template for illustrating the game. The beads which represent the harmonic series begin at the center, where each bead represents a musical note-color up to the 16th harmonic. The series of 8 beads is then separated by small beads for five times marking the five octaves. At each octave the patterns between the 8 larger beads becomes 1, 3, 7, 15, etc. The beginning fundamental is the note C which is red. One can trace each of the octave reds as they become more and more sparsely distributed after they complete their 8 note cycle. http://members.aol.com/Lambdom/Home/Ref11.gif Lambdoma Harmonic Keyboard The uniquely designed "Lambdoma Harmonic Keyboard" is a prototype, computer generated, musical instrument which plays the music of the Lambdoma matrix in each of its four quadrants. A laser scanner auxiliary system, which displays the Lissajous figures on a screen or wall as the sounds are played is also available. An overlay indicating color, octaves, ratios, musical note and frequencies, based on a fundamental of 256 cps, is also attached to the diamond shaped keyboard. An article published in the Proceedings of the United States Psychotronics Association 1995 Conference Proceedings provides detailed information regarding the application of the Lambdoma Harmonic Keyboard and shows the various quadrants as well as laser studies. The article includes tables of Atomic Numbers relating to musical frequencies etc. sample images: http://members.aol.com/Lambdom/Home/Ref15.gif Galactic Mandala The period of the orbit of the sun around its galaxy (about 25,000 years) is depicted by a Lambdoma mandala. The music of the fundamental may be heard by translating period of the orbit to the frequency of 332.8 an E+ note, in the reference octave. The color of yellow-green marks the beginning of the computer generated matrix on the right side of the outer circumference. http://members.aol.com/Lambdom/Home/Ref16.gif Solar Mandala The period of the orbit of the earth around the sun of 365.25 days is portrayed by translating its period of rotation into 272.6 cycles per second, a C#/Db musical note. This concept was then computer generated into a Lambdoma mandala. The overtone progression of the Lambdoma begins at the right hand circumference of the mandala with the color red. ------------------------------------------------------------------------ http://www.glassbeadgame.com/GBG.htm Glass Bead Game--The Divine Game--Jeweled Net Of Indra The Sacred Science Institute would like to participate in the current efforts to develop the Glass Bead Game on the Internet by providing those participating in this endeavor with the content necessary for a true rendering of ultimate conception of the game. As many people know, the Glass Bead Game is a term coined by Herman Hesse, in his book Magister Ludi, The Glass Bead Game (Available Through Seeker's Sanctum, OTHER ITEMS). Hesse explains the game as developing out of musicology and mathematics into a futuristic game woven as a symphony of knowledge and ideas. The game is more or less left to the readerís imagination with a few hints at sources and influences but with no explanation of how it really works. We see the Glass Bead Game as a metaphor for a tradition of esoteric philosophical cosmology which has existed throughout every culture known to man. This philosophical cosmology is an expression of the fundamental system of order existent in the universe. These systems of cosmology are usually expressed in symbolic forms such as sacred geometry, alchemy, hieroglyphics, mythology, harmonics, arithmetic, astronomy, magic, and the like, but what they all have in common is a unified vision of the process of manifestation of the universe from the absolute to the relative. The Glass Bead Game is the artistic, philosophical or cosmological manipulation of the symbolic forms which express these systems of knowledge. These symbolic forms, or what we would call the Glass Beads represent a system of language unknown to all but a few who have searched for or been initiated into this rare and most valuable wisdom. Schwaller de Lubicz called this form of expression "symbolique," or the "Language of the Gods," or the "Language of the Birds." He explains it as a language that uses symbols as letters in an alphabet expressing a unknown language. When one is able to read this language, one can read Egyptian hieroglyphics, Medieval alchemical texts or Gothic cathedrals, and realize that they all say the same thing. He also informs us that there is no way to study "symbolique," but at the same time recommends sacred geometry as the best place to start. Our intention in creating this Glass Bead Game is to establish a forum and context for the unfolding of this metaphor. It will take some time to lay the groundwork for what is unquestionably the deepest form of expression ever conceived by mankind, or never conceived by mankind as the case may be, but we feel the Internet opens a doorway which has never before existed. In the past esoteric cosmology has been restricted to silent halls of the mystery schools or to the solitary passing of knowledge from teacher to student, or to a selection of rare, abstract texts, some of which are included on this we site. Now, with the Internet, a new forum of mass communication and interaction has been created which foreshadows possibilities never before conceived. We hope to help open this channel of communication to a new direction of exploration. ------------------------------------------------------------------------ http://www.earthportals.com/glass.html Webmagister Ludi and the Glass Bead Game by: Willard Van De Bogart Introduction Magister Ludi-the Glass Bead Game, was a novel written in 1943 by the German writer Hermann Hesse who was born in 1877 in Claw, Germany, and died in 1962 in Montagnola, Switzerland. In 1946 Hesse received the Nobel Prize in literature for Magister Ludi. In the archives of the Glass Bead Game it is written that Joseph Knecht was the Magister Ludi of the Glass Bead Game in a place called Castalia. Who among you remember Castilia? "Castalia is a symbolic realm where all spiritual values are kept alive and present, specifically through the practices of the Glass Bead Game. It depicts a future society in which the realm of culture is set apart to pursue its goals in splendid isolation..." May 1969 - Theodore Ziolkowski 50 years later the parallels between the Glass Bead Game and the Internet are very similar. Capturing a complete description of the Glass Bead Game is not easy. Here is a sample taken from a letter written by Hesse's character Joseph Knecht: "I suddenly realized that in the language, or at any rate in the spirit of the Glass Bead Game, everything actually was all-meaningful, that every symbol and combination of symbol led not hither and yon, not to single examples, experiments, and proofs, but into the center, the mystery and innermost heart of the world, into primal knowledge. Every transition from major to minor in a sonata, every transformation of a myth or a religious cult, every classical or artistic formulation was, I realized in that flashing moment, if seen with truly a meditative mind, nothing but a direct route into the interior of the cosmic mystery, where in the alternation between inhaling and exhaling, between heaven and earth, between Yin and Yang holiness is forever being created. Castalia was a protected institution set in the future, and devoted to intellectual pursuits. Castalia was run by the master of the Glass Bead Game. Sitting in a large room, Castalia members would explore magnificent associations of ideas and concepts. To what end? To keep alive knowledge in a world that had fallen apart spiritually, socially, and politically. Enter the internet, and the potential to continue what Hermann Hesse had begun with Master Ludi over 50 years ago. The internet allows each webmaster to play the Glass Bead Game. In a world filled with more information than is humanly possible to read, review, or to understand, the question arises as to how it is possible to develop an overview of human development into the 21st century? The Glass Bead Game thus takes on a new meaning, and a renewed capacity to understand the direction we are going. ------------------------------------------------------------------------ http://www.futrgame.com/Apprentice/temple.htm O M Y N Y X What is the Glass Bead Game? Hesse, speaks of a Game of Thoughts called the Glass Bead Game that he practiced while burning leaves in his garden. As the ashes filter down through the grate, he says, "I hear music and see men of the past and future. I see wise men and poets and scholars and artists harmoniously building the hundred-gated Cathedral of Mind." His personal experience defines the unio mystica of all the separate members of the Universitas Litterarum that he bodied out symbolically in the form of an elaborate Game performed according to the strictest rules and with supreme virtuosity by the mandarins of the spiritual province, Castalia. and then I Dreamt of Castalia . . . At a campus conference-like facility Many important persons from business, arts, media, politics are gathered together. We are all here exchanging business cards and become lost in our own importance. Soon we even lose sight of why we came in the first place. Why did we come? . . . the question resonates. We came to build the ultra blue indigo purple violet Cathedral of Mind. THAT place where the color blue goes. That place where the background and foreground become one in our eyesight. That place beyond the visible light spectrum. That place where our 3D eyesight fails. That place is a a state of mind. That place is . . . the Spiritual Province of Castalia . . . ------------------------------------------------------------------------ http://www.corewave.com/core/ Glass Bead Game II The journey begins here. Join us on a journey into the cutting edge of thinking and learning, creating and discovering connections, and cultivating synchronicity. Welcome to CoreWave's Bead Game II. There's a lot to think about here, and lots of fun to be had. Follow our Guided Tour to help you get started on one of the most fascinating journeys you're likely to ever experience. Randomizer Our Bead Games are exercises in the creation and discovery of how we are all connected. We have a discussion board where players (like you) make contributions. Together we string these "beads" on our core wave thread --creating a symphony of ideas. ------------------------------------------------------------------------ http://www36.pair.com/waldzell/index.html Waldzell Home Page Waldzell's purpose will be the development, maintenance and promotion of a community of comprehensive polymaths. A polymath, as defined here, is a person with the knowledge and expertise of a specialist in several, usually non-overlapping, domains of knowledge or expertise. A comprehensive polymath, or comprehensivist, is a polymath with the ability to synthesize knowledge and expertise from any combination of domains. The main focus of this organization, initially, is the development of a site on the World Wide Web as a single point of contact for those interested in the comprehensivist approach to knowledge and to its acquisition and deployment. This website, as currently conceived, contains five major areas: the Waldzell Canon, a unified knowledge repository of universal scope which is consistent with a single, strongly cohesive ontology (an axiomatic set of concepts and assertions that forms the basis for the definition of more complex concepts and assertions) the Waldzell Glass Bead Game, a concretized version of the game described in general terms in Hermann Hesse's 1943 novel, Das Glasperlenspiel (English: Magister Ludi or The Glass Bead Game), intended as a highly motivating outlet for comprehensivist thought and discourse and as a source of input for the development of the Canon the Waldzell Conlang, the primary resource for Waldzell's artificially constructed language, an expressive medium that is tightly integrated with the Canon; the Conlang is designed for use by comprehensivists who are verbally inclined and who wish to engage in highly disambiguated discourse, and it is the primary point of interaction between the Canon and the Waldzell Glass Bead Game the Waldzell Forum, a collection of original essays on any number of topics that impinge on the goals and activities of the Waldzell organization the Waldzell Library, a repository of links to learning resources on the Web and of references to offline learning resources (the emphasis being on Web-based courseware, but resorting to other useful material where didacticized resources are unavailable) ------------------------------------------------------------------------ http://www.khatru.com/GlassBead.html Khatru's Glass Bead Game Links The concept of the Game as put forth on the World Wide Web is twofold: First, to explore the possibilities of using games as vehicles for spiritual expression and growth. Second, to use the WWW as a means to form the three-dimensional connections among ideas that Hesse's Game permits. Rather than put forth the vain, single-minded Game of Castalia, the emphasis now is to bring the world closer together with a vast connecting of themes. In light of this, I've included below several interesting links for a more in-depth view, and some actual versions of the Game created for Web use. Please check back soon, as I plan to be adding things frequently. The Glass Bead Game was originally created in the mind of writer Hermann Hesse. In his book Das Glasperlenspiel he postulated a mental game of connections which could encompass all philosophies, disciplines, sciences, arts, religions, and ideas. The book concerns a fictional future world where the city/state Castalia has become home to a society of scholars who, by elevating scholarship to its highest level, have made a stagnant culture where nothing new is created and study for its own sake is the pinnacle of achievement. Hesse points out that a life focused solely on mind and intellect without participation in the "real world" is sterile and pointless. Core Wave: The best on-line version of the Game. Please take the time to explore it fully. Waldzell Home Page: Waldzell is the school Hesse's character in the book, Joseph Knecht, attended to study the Game. This site is a set of rather esoteric links to an online community of scholars. HipBone Games: A tasty site offering explanations of the GBG and instructions on how to play a simplified version of it, along with other stuff. The Center for Ludic Synergy: To foster awareness The DuVersity: Not strictly about the Glass Bead Game, but comprising a lot of esoteric knowledge and connections. Not for the faint-hearted (scholastically speaking). The Sacred Science Institute: A comprehensive reference search for GBG-related materials and other things. Hermann Hesse: A biographical site of the author of Das Glasperlenspiel and other great works. Opio World: The Opio Foundation is the project of Jon Anderson, musician and philosopher, who first introduced me to the Glass Bead Game.
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