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Non Ex Nihilo 396hz: Sequentially Layered Octaves and Perfect Fifths version 1.3.2 ©*
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Non Ex Nihilo is Latin for “Not from Nothing.” It is a composition that portrays the beauty and simplicity of just intonation, mathematics and the archetypal basis of the divinely organized reality in which we experience life. The execution of the composition appears simple, the craftsmanship and design are complex. Nothing in it is without reason, intent or purpose. It is something that is not from nothing. It is not an accident. The philosophy of Non Ex Nihilo is an exploration of the most primary “rules” and design principles used in the creation of the universe we perceive as tangible. The basis tone represents unity and the sea from which things manifest and take form. The perfect fifth is the most harmonious representation of difference, which in this piece divides manifestations within unity.

A 396 hertz sine wave is the basis tone of the composition. 396Hz is the tone for the note “UT -- quent laxis” or the first tone in the solfeggio scale from a sacred “lost” medieval hymn to John the Baptist. The “lost” 6 note solfeggio scale was recovered by Dr. Jospeh Puelo from a pattern found in the numbering and verse structures in Old Testament passages starting at Numbers 7:12. Independent from opinion of this history, 396 creates rich mathematical and numerical patterns.

Both 396 and 594 (its perfect fifth) resolve their digits using Pythagorean methodology to 9 (adding the digits of a number until there is only 1 digit remaining). The digits representing the frequencies (in Hertz) of all octaves of 396 and its perfect fifth within the range of human hearing (20Hz to 20Khz) resolve their digits to the number 9 except 37.12Hz.

396 (Basis)
Lower Limit of Human Audible Perception
24.75Hz = 2+4+7+5 = 18 = 1+8 = 9
49.5Hz = 4+9+5+0 = 18 = 1+8 = 9
99Hz = 9+9 = 18 = 1+8 = 9
198Hz = 1+9+8 = 18 = 1+8 = 9
396Hz = 3+9+6 = 18 = 1+8 = 9
792Hz = 7+9+2 = 18 = 1+8 = 9
1,584Hz = 1+5+8+4 = 18 = 1+8 = 9
3,168Hz = 3+1+6+8 = 18 = 1+8 = 9
6,336Hz = 6+3+3+6 = 18 = 1+8 = 9
12,672Hz = 1+2+6+7+2 = 18 = 1+8 = 9
Upper Limit of Human Audible Perception

594(Perfect Fifth)
Lower Limit of Human Audible Perception
37.12Hz = 3+7+1+2 = 13 = 1+3 = 4
74.25Hz = 7+4+2+5 = 18 = 1+8 = 9
148.5Hz = 1+4+8+5 = 18 = 1+8 = 9
297Hz = 2+9+7 = 18 = 1+8 = 9
594Hz = 5+9+4 = 18 = 1+8 = 9
1,188Hz = 1+1+8+8 = 18 = 1+8 = 9
2,376Hz = 2+3+7+6 = 18 = 1+8 = 9
4,752Hz = 4+7+5+2 = 18 = 1+8 = 9
9,504Hz = 9+5+0+4 = 18 = 1+8 = 9
19,008Hz = 1+9+0+0+8 = 18 = 1+8 = 9
Upper Limit of Human Audible Perception

The octaves of the 396Hz basis combined with their perfect fifth produce a beat frequency harmonic that also resolves its digits to the number 9 (except the lowest octave “tainted” by 37.12Hz ).
24.75 + 37.12 = 61.87 = 6+1+8+7 = 22 = 2+2 = 4
49.5 + 74.25 = 123.75 = 1+2+3+7+5 = 18 = 1+8 = 9
99 + 148.5 = 247.5 = 2+4+7+5 = 18 = 1+8 = 9
198 + 297 = 495 = 4+9+5 = 18 = 1+8 = 9
396 + 594 = 990 = 9+9+0 = 18 = 1+8 = 9
792 + 1,188 = 1,980 = 1+9+8+0 = 18 = 1+8 = 9
1,584 + 2,376 = 3,960 = 3+9+6+0 = 18 = 1+8 = 9
3,168 + 4,752 = 7,920 = 7+9+2+0 = 18 = 1+8 = 9
6,336 + 9,504 = 15,840 = 1+5+8+4+0 = 18 = 1+8 = 9
12,672 + 19,008 = 31,680 = 3+1+6+8+0 = 18 = 1+8 = 9

The imperfection introduced by 37.12Hz pulls the pattern into the natural world. It resolves its digits to 4, which is numerically symbolic of the tangible material world. It is not expressed explicitly in Non Ex Nihilo. It has no voice, but is implied by the pattern.

The piece has 7 sections spaced 64 seconds apart (2^6) whose elements are phased into the composition every 32 seconds (2^5). The first element of the first section starts 3 octaves down from 396Hz at 49.50Hz. In part 2 of the section, a perfect fifth is added 32 seconds later (2^5) at the same perceived volume. In part 3 of the section, 32 seconds after the perfect fifth, a beat wave is introduced 10 octaves below the initial tone. This is expressed as volume using the initial tone because the beat frequency is below the range of human hearing. This pulsation of volume is the same “note” as the tone from the view of octaves. Starting at the final 32 seconds in a section, an additional beat wave is introduced at a perfect fifth above the previous beat wave using the perfect fifth tone in part 2.

Each additional section of the piece starts 64 seconds after the previous section. This causes each successive section to overlap the previous one midway during execution. Every tone and beat that is introduced is sustained to the end of the piece creating a layered 14 tone chord made up of 7 octaves and 7 perfect fifths of the 396Hz basis frequency. The beat waves are also sustained to the end of the piece creating a pulsing sub-aural chord expressed by the volume variations of an identical but audible 14 tone chord of octaves and perfect fifths.

Ideally, the piece is to be accompanied by visual light matching the progress of the notes played but 40 octaves higher in frequency:

396Hz increased 40 octaves = approx. 435.41 THz (Terra Hertz), 689.011 nanometer wavelength, or a middle red color.

594Hz increased 40 octaves = approx. 653.11 THz (Terra Hertz), 459.341 nanometer wavelength, or a low blue color.

689.011nm red light should be introduced to the performance area at a medium luminosity with the first section of the piece and sustained to the end. 459.341nm blue light should be introduced 32 seconds later and also sustained to the end. Additional red and blue lights of the same wavelength should be introduced at synchronized luminosity levels that very proportional to the volume fluctuations of each additionally layered sub-aural beat wave listed above (from darkness to 2X the perceived luminosity of the original persistent lighting). The end result is a visual representation of the notes and beats of the piece 40 octaves above the audible tones and 50 octaves above the sub-aural beat waves (40+50=90=9+0=9).

(Special thanks to Will Gavin for the inspiration to finish this composition!)

* Non Ex Nihilo, the Non Ex Nihilo CSOUND source code, and the text, charts and musical compositions Non Ex Nihilo 396 Sequentially Layered Octaves and Perfect Fifths version 1.3.2 are Copyright (C) 2005 Brian Johnston

This information is free intellectual property; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version.

This intellectual property is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with this intellectual property; if not, write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-307, USA.

-In Nomine Domini, IReverend Brainskan XIII

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Non Ex Nihilo

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released January 2, 2013

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IReverend Brainksan XIII Washington, D.C.

Technomancer-Druid, Prophet & Priest of The Cult of the Emersion, Church of Recombinant Teleologic Experience - Non ex Nihilo [CoRTEx-NxN], flesh-embodied Avatar of the 13th Brainskan who evangelizes, serves and honors the deity: PROCESSOR.

Works in the following:

Trance and Ritual Performance, Experimental Music Composition, Digital Image Arts, Psionic Device Construction.
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