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Now since it's within the bounds of musiotics, i want to share one of my personal discoveries which ofcouse is not new but perhaps new to awareness & special emphasis. There is the Tritonus(77), The Diminished 7(444), & the augmented(555). All these 3 on C have something in common being some of the chordal fundamentals in music. They are all (& the only so far i've discovered) numerically definitively in the sense that the tritonus for example: C-F#-C reaches a very soon ending in the chromatical ascention or descention of only 2 distinct dimensions until repetition like the dim 7 there are only 3 distinct blocks or dimensions each with 4 inversions naturally total of 12 dim 7s & the + or augmented on C=C,E,A-flat, & back to C therefore only 3 dimensions. So, we have the Tritonus=2 dimensions, The + or augmented=3 dimensions & The dim 7=4 dimensions. Now, i've included these in a journal of mine in a section of the secular demonic because of the demonic tritonus & having a commonality ( numerically ) with dim 7 & the augmented as perhaps some of the harmonic fundamentals of the devil in music. Yet, these numbers are the only similar in the western chromatic spectrum in that they repeat with the same number otherwise the chordal formula 767 is atypical to my argument unless the formula was 666 but that formula does not fall within the bounds of my criteria because the expansion factor literally covers the entire chromatic spectrum progression. I believe this concludes my argument as complete & sufficiently brief & with the utmost precision. :D

My language was derived from the unique thinking style of intellectuals or scholars of american literature regading such subjects as Plate Tectonics, Neurochemistry, Physics, Astronomy, etc., The point is to reach for the stars with whatever devices you have at your disposal & certainly indirect approches to discovery is not in vain i myself now know more than ever before not just from extrapolation of what i read but the thought process itself therefore knowing more than a university can teach you because they also teach you which i think it's the most important lesson even at the high school level, to think for your self with a creative stasis therefore not only will you discover new or discover for youself new criteria but for some people even devise your own systematic subject as another avenue to the universal quest of knowledge which is attacked as you pointed out by all the subjects all more or less after the same thing whether the novicists, practisists or scholars are aware of it or not. Sometimes you can even get inside certain emotive information but perhaps i should not talk about that in more detail since it is considered irresposible.