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 15.  x1 - The triplet series The x4  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 à 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 à 74 A: the 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-chains 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. *

Individual research
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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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