15.  x1 - The triplet series
The x
series



I. The triplet series, x1:


a) Reading triplet numbers in the elementary chain 5 - 0:

(Most of this file from "17 short files", 05.)

The most elementary chain 5-4-3-2-1-0 read as triplets approximates the sum of R-chains of ams read as two triplets: 2(543 + 210) = 1504 +2, or read as 4 triplets as in figure 15-1.

Expanded with triplets from 987 - 876 etc. the chain gives the approximate whole mass of 24 ams. Intervals in each step = 111 sum up to 24 times B-chains à 74.

Fig 15-1: Triplets from elementary chain 5 to 0 and the same chain expanded:

A note about number 3282:
Number 3282 is also the difference between products of base pair numbers:
G 151, C 111, U 112, A 135:

2 x G x C = 33522
                    |------- 3282
2 z U x A = 30240

3282 = 6 x 547. 5 x 547 = 2735 = 20 ams, without the double-coded ams.

(½ x 3282 = 1641 is said to have something to do with a formula for first amount of prime numbers.)

A "condensed" or undeveloped elementary chain 5 - 0, dimensionally, written:

5 - 4 -3 - 2 - 1 - 0, ~ 5433 ~ 546   ("before disintegration") =2 x 273.
                 = 3

546 x 6 = 3276, the sum of 24 ams R+B unbound.


b) A-N-Z-numbers of ams approximating the triplets:

Fig 15-2: A-N-Z- as triplets in codon groups:

The chain A→> N→>Z implies polarization steps from mass to charge as assumed in the background model.

Cf. figure 13-8 file 13, approximate the same numbers halved.

[A connection with the ES-chain and its first nummber 5´ ?
1/543 - 1/210 = - 292,03. x 10-5 ]


c) B-chains:

In a peptide bond between ams their side-chains come to point in opposite directions.
For the triplets 543 and 210 arranged in such a way, see figure 16-2 below,. When read in opposite directions, we get the B-chains of 12 ams á 74 A = 888 as divided 543 + 345.

Fig 15-3: Triplets 543, 210 written as neighbor R-chains in opposite directions:

888 = 12 B-chains `74. A division on numbers 543 and 345 gives: 

543 / 12 = 45,25 ~ 45 A = COOH

345 / 12 = 28,75 ~ 29 A = H2N-CH

The B-chain gets approximately divided in the COOH-part 45 and H2N-CH-part 29.
Cf. the similar division in the ES-series here.

345 —|— 210
        135 = mass of the A-base

135 is also mass of Meth, R+B, when losing its end group CH2 = -14 at start of protein synthesis.

012 + 345 = 357 = sum of A+C+C, the common ends of tRNA.

Sum of a triplet chain "inwards" 012-123-234-345 = 2 x 357.
A-base 012+123 = 135, plus first two intervals = + 2 C-bases 111 = 357.

B-chains as periodic numbers:

Fig 15-4:


A note:
543/3 = 181 = Tyr, R + B
321/3 = 107 = Tyr R.
Two steps in the triplet series = -222 = 3 x 74, the normal B-chins unbound

Two more numbers from the elementary chain 5 - 0:

4/5 + 3/4 + 2/3 + 1/2 = 1/2 x 5,433333

[1/5 + 1/4 + 1/3]4  = 376,5. x 10-3; x 2 x 103 = 753,037.

About the elementary series as exponents to 2 as a binary lnguage and Serine, see file
17.16.point 6.

 



II.  The x4 series:

The x4 series as an underlying chain?
It would agree with the general thoughts behind this research that chains as x4 and x3 (x = 5 - 0) could underlie the ES-chain on deeper levels.

In the chain, figure 15-2 below, we have that 625 - 81 = 544, the G+C-coded ams and 625 + 256, + 81 = 962, the U+A-coded ams +2. The operation -/+ 81 in this series x4 is comparable with the similar operation -/+ 208 in the ES-chain.

Fig 15-5: An x4-chain, some codon groups of ams:

Number 81 is both a charged molecule H2PO3 but also the R-chain of His (the only ams that not derives from Glycolysis-Citrate cycle but from the A-base).
   It could be observed that -/+ 81 gives the individual codon base groups in 1st order in the ES-chain:

½ x 544 -/+ 81 = G1 191, C1 353,
544 -  81 = U1 463
416 + 81 = A1 497.     (An eventual influence of phosphorus groups,                                          P-group H2PO3~ = 81 or of His, R 81?)

Sum 44 + 34 = 337 is 1/3 of the total sum of the ES-chain.

*

To An x3-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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