In researching the patterns in numbers that develop from expressing the relationship a number has with itself (1/n=N, NX2,3,4...n),in decimal form, I found a very interesting one.(adsbygoogle = window.adsbygoogle || []).push({});

If you have read my threads on resonance in vibration, and the values of prismatic color, it will help with deeper understanding of this thread.

I'll start with the first occurence, and simple version of this pattern - the number 7.

relation____value___________code______code sum___end sum

)1/7____0.142857142857...___(142)(857)_____27__________9

)x 2____0.285714285714...___(285)(714)_____27__________9

)x 3____0.428571428571...___(428)(571)_____27__________9

)x 4____0.571428571428...___(571)(428)_____27__________9

)x 5____0.714285714285...___(714)(285)_____27__________9

)x 6____0.857142857142...___(857)(142)_____27__________9

)x 7____0.999999999999...___(999)(999)_____54__________9

)x 8____1.142857142857...___(142)(857)_____27__________9

The 8th value (octave) in this pattern is the same code as the first value, but at a higher level (frequency). The code is a simple exchange of 3 digit values (Triad). All codes have two mirror parts, or polar values. Except relationship(R)7, which has internal mirror <999-999> (neutral). So: R1><R6, R2><R5, R3><R4, and R1=R8+1.

Code sum, and end sum can provide both a "short cut" (simultaneous solve), and or a built in value verification, or limit. You will find other codes sums, say 36, 81, 333, and others, but 90% of non-terminating patterns like this result in end sum of 9. Seven is the number of music notes, and spectral colors.

R7 may be of particular use in searching for patterns in hard to define/measure systems. Mass, for instance, would never satisfy a command of >=1. However, if this open loop was closed,(by fixing end point to linear time)then value becomes 1. (7/7 vs. Nx7) This pattern is not "infinite", and will eventually will settle down to a pattern known to us as mathematical. Addition and division will not work on this pattern all the way through.

continued...

LPF

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# Communicating with non-terminating, alternating value patterns

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