By googling with the numbers 6.909 / 0.6909 / 13.81976 / 13.81758 /pi*e*phi
I didn’t get much hits and/or information.
Finally, I came to the site http://www.cosmicfingerprints.com/mathematics-of-dna/
And from there to the sites of Jean-Claude Perez, who has found a golden ratio in DNA-sequences.
The ratio of 0.690983, by Perez translated in
is almost the same ratio as I did find.
Also a ratio found by Perez is the opposite:
Look for his findings at:
"Codon populations in single-stranded whole human genome DNA Are fractal and fine-tuned by the Golden Ratio 1.618."
his book: Codex Biogenetics
Another interesting find on google was the philosophical and mathematical essay about Alfa , Pi*e*Phi (13.81758) from Dr. Zanglis.
(English text further in the document)