Geometry of Music And Color, IIIII. Part II of the threepart Geometry of Music And Art (GoMAC) series. A visual walkthrough and summary of key concepts relating the ISLderived Brooks (Base) Square, BBS, matrix with a geometrically derived division of the monochord resulting in the chromatic and diatonic major scale. Original soundtrack (A/B).
Part III focuses on a visual journey of how the color spectrum...and specifically the complementary colors of each hue...are based on the ISL. This visual walkthrough and summary of key concepts relating the ISLderived Brooks (Base) Square, BBS, matrix with a geometrically derived division of both the musical monochord…resulting in the chromatic and diatonic major scale… and the color spectrum, in which color complements inside and outside of the 400750 nm visible spectrum dictate the colors that we perceive. Based on "The Geometry of Music, Art and Structure...linking science, art and esthetics" white paper, "Geometry of Music And Color, I" new media net.art project, and the BBS matrix. Original soundtrack (C/D).
Full Description
How the natural, geometric divisions of the musical monochord and the color spectrum are inherently derived from the same universal law that informs how light, sound, electromagnetism, gravity...indeed, "The Architecture of SpaceTime" itself...behaves.
That law is the Inverse Square Law (ISL) and it has a specific relationship to all the quantitative, whole integer numbers as shown in the Brooks (Base) Square matrix (BBS).
Part II of the threepart "Geometry of Music And Art (GoMAC)" series focuses on a visual journey of how the musical spectrum...and specifically the chromatic and diatonic scales...is based on the ISL. A visual walkthrough and summary of key concepts relating the ISLderived Brooks (Base) Square, BBS, matrix with a geometrically derived division of both the musical monochord...resulting in the chromatic and diatonic major scale...and the color spectrum (as seen in GoMAC part III). Modulations around the Circle of Fifths and the Golden Rectangle are...key. Original soundtracks (A and B).
Part III focuses on a visual journey of how the color spectrum...and specifically the complementary colors of each hue...is based on the ISL. A visual walkthrough and summary of key concepts relating the ISLderived Brooks (Base) Square, BBS, matrix with a geometrically derived division of both the musical monochord...resulting in the chromatic and diatonic major scale (part II)...and the color spectrum, in which color complements inside and outside of the 400750 nm visible spectrum dictate the colors that we perceive. Original soundtracks (C and D).
Based on "The Geometry of Music, Art and Structure...linking science, art and esthetics" white paper, "Geometry of Music And Color, I" new media net.art project, and the BBS matrix.
Work metadata
 Year Created: 2012
 Submitted to ArtBase: Friday May 25th, 2012
 Original Url: http://www.brooksdesignps.net/Reginald_Brooks/Code/Html/netart12.html

Work Credits:
 reginaldbrooks, primary creator
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Artist Statement
Our ears hear sounds as frequencies. Our eyes see colors as wavelengths. The shorter the wavelength, the higher the frequency, and vice versa.
The physics of sound divides up the frequencies within a monochord (string/wire/length of tube/etc.) into a fundamental tone (the whole string length), and, a series of harmonics (partial lengths), that may be organized into a series of pleasant and mathematically coherent arrays called musical scales. The octave in the Western chromatic and diatonic scales, with 12 and 7 pitch tone intervals, respectively, being the most predominant example. The “eighth” note of the octave is simply the repeat of the first note of the scale, only at twice the frequency. These octaves of sound range from near zero to infinity and our ears can comfortably hear 810 octaves. Every octave represents a doubling of the frequency of its predecessor octave. Thus the mathematical coherentness of how a monochord is divided is required to ensure the harmonics of each subsequent octave.
Exactly the same physics occurs with light and color with the exception that our eyes have evolved to only perceive a single octave out of that vast array of octaves found in the electromagnetic spectrum. The focus is completely on the subtle microdivisions (colors) of just a single octave of light ranging from 400750 nm wavelengths (PurpleBlue ViolettoRedInfrared).
Treating both the frequencies of music and the wavelengths of color in geometric terms…that is, taking the fundamental wave properties of each and giving them a geometrical representation in the form of proportions, or ratios, in both numerical (x/y) and graphical (O) symbols…allows us to readily see the underlying mathematics that informs them both.
And what is that common, universal mathematical theme that is informing not only the musical and color spectrums, but all sound, light, electromagnetism, mass, energy, gravity, and more, distributions? It is the Inverse Square Law (ISL) and the numbers that describe it in the Brooks (Base) Square matrix (BBS). It’s not all that surprising, in that the ISLderived BBS matrix is proposed to provide “The Architecture Of SpaceTime” itself. That’s right. The energy which describes each quanta of spacetime is informed by the ISL…ensuring the communication between and the harmonies of the entire cosmos. No wonder the perception of sound and light that our little ears and tiny eyes have come to be based on is the same ISLBBS matrix dynamics. It’s from these fundamental proportions that all our organic, lifegiving proportions of the golden mean, rectangle, and spiral…as embodied in the dynamics of the pentagon…have evolved.
See more:
~GoMAS: Geometry of Music, Art and Structure http://www.brooksdesignps.net/Reginald_Brooks/Code/Html/netart85.htm http://www.brooksdesignps.net/Reginald_Brooks/Code/Html/Gomas/gomas09.htm
Brooks (Base) Square and The Inverse Square Law (ISL) http://www.brooksdesignps.net/Reginald_Brooks/Code/Html/ISL/Brooks_(Base)_Square/netart95.htm
Brooks (Base) Square (BBS) interactive matrix http://www.brooksdesignps.net/Reginald_Brooks/Code/Html/ISL/BBS/BBSiI.html