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 12.  Simpler numeral series - Comparisons with the ES-series - some first notes - A. Some simple quotients: The simple quotients 7/24, 6/24, 5/24 times 103 approximate first three numbers of the ES-chain, since total sum of ams R is nearly 1500 (particularly if we count on Lys and the two Arg uncharged), Note the sum of the series 5 - 4 - 3 - 2 - 1 - 0 = 15.    However, the lower numbers in the ES-chain are not given through simple quotients.     Fig 12-1: 7,6, 5 parts of 24, decimals ~ ES-numbers:   Cf. numbers 7, 6, 5 with halved numbers of electrons in orbitals f, s + d, and d, see below and file 13 about the periodic system. A division 10-8-6 of the total 24 ams times 1504 in agreement with number of ams, 10 (2 x 5) in G1 and C1, 8 in A1, 6 in U1, gives sums that through a displacement of 84 (~ 2/24 = 292 - 208 in the ES-chain) gives the G+C- and U+A-groups, figure 12-2 below..    Applying exponent 2/3 to these 10-8-6-parts of the total, gives abbreviated times 4 the appropriate numbers of the ES-chain. Fig 12-2: 10, 8, 6 parts of 24, transformed to ES-numbers: 63 x 52 happen to give the whole sum of 24 ams R + B unbound = 3276. A note: Numbers 7/24 and 5/24 above = 0,292 - 1/3x10-3 and 0.208 +2/3x10-3. Orbital numbers with reference to file 13     [14 – 2/3] /24 = 0,5555…     [10 + 2/3] /24 = 0,4444…       8 ,          /24 = 0,3333…     [  2 + 2/3] /24 = 0,1111... B. Survey of different numeral series on x = 5 - 0: a) x1: 5 - 4 - 3 - 2 - 1 - 0 read as triplets:     543 - 432 - 321 - 210 b) 2x2: 50 - 32 - 18 - 8 - 2 - 0: the chain behind the periodic system.             Intervals in the steps as orbitals in electronic shells. c) Halved orbital numbers ½(18 - 14 - 10 - 6 - 2) as a superposed chain: Fig 12-3: Halved orbitals as a superposed chain: d) x3: 125 - 64 - 27 - 8 - 1 - 0. e) x4: 625 - 256 - 81 - 16 - 1 - 0.

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Table 24 amino acids (ams)
R-chsins, A, Z, N

Background model

Files here:
 I. The ES-chain Introduction 3. The exponent 2/3 number series Mass of codon grouped ams 4. Mass division on atom kinds, and on other bases 5. The two 12-groups - details 6. Backbone chains 7. N-Z-division and H-atoms 8. Geometries - Golden section Special arithmetical operations 9. Glycolysis and Citrate cycle: codon grouped amino acids on the basis of origin 10. The bases: - Some annotations 11. Transmitters and the ES-chain

 II. Simpler numeral series 12. Quotients. - Exponents 5-1 13. The 2x2-chain 16. An x3 series?

 III. Transformations between number-base systems 17. First observations 18. Totals and other notable things 20. Additions to files 17-18 21. Triplet series - An alternative series 22. Other substances

 Discussion References

All these files in 3 documents, pdf:
Section I, files 0-11

Section II, files 12-16
Section III, files 17-22
Discusssion, References in section III

The 17 files as one document,
pdf

Latest updating
2018-11-20

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