	Planetary Systems of the Earth 1 Classisc Systems


	Copyright © Klaus Piontzik


German Version

7.6 - Determination of a new (calculated) numbering

There is the possibility of getting an even better adjustment for the numbering values. Based on the linearization, an exact numbering can be calculated. The following applies:

Rearranging the equation according to x gives

7.6.1 - Equation:

The following applies:

b = ln w₀
a = Δ y/Δ x
Δ y = ln w_n – ln w₀
Δ x = n_new

Inserting all terms gives:

7.6.2 - Equation:

With the new numbers you get a logarithm-based number sequence that corresponds to the initial values. This new numbering then reflects the harmonic structure of the arrangement under investigation and can be viewed as a new scaling.

If you replace ln by log and e by 10 in all equations, the entire consideration and function determination also applies to base 10.

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