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 - 1/3 and 0.208 +2/3.
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.


To The 2x2-chain

© Åsa Wohlin
Individual research
E-mail: a.wohlin@u5d.net


 

Links and Notes

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

Abbreviations
- ways of writing -

Background model

Files here:

0. Amino acids and codon bases.
Why this coding system?





All these files in one document,
pdf, 118 pages

To 17 short files.
- partly other material -

The 17 files as one document,
pdf

 

An earlier version (2007)
with more material
on the same subject, 73 pages
:

Latest updating
2017-01-16

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