Quantity and Quality

We imagine a coordinate-system with 0 at the crossing center. This is useful, if we count money or meter.

An other possibility: 1 at the crossing center. Left it goes donwn from 1 to half, quarter, and so on. Like this, 0 is the other side of eternety.

This fits for frequence, measured in Herz. 

In this realm, numbers start to get quality due to there resonance: All numbers have resonance with 1. 

8 has resonance with 2 and 4. 

6 with 2 and 3.

Prime numbers have only resonance with 1.

Each further prime number opens a new quality.

1,2,3,4,5,6,7, ...

It can make sens, to structure this with dublications: 1,2,4,8,16,32,64, ...

In each further dublication, new numbers get fitted in between the old ones.

This line of dublications indicates the strongest resonance of numbers, their opposite are prime numbers.

A next strong resonance line can derive from 1,3,9,27,81,...

These two lines never can meet exactly, but they do meet nearly.

But resonance starts already, when you come near enough, exactly is not nescessary.

It depends, how sharp the picture is needed to be.

Visually, frequence is represented by color. We can see not even one dublication, the distinctions are very rough.

With our ears, we can distinkt mor than 12 degrees between a dublication, and we have a range bigger than 8 dublications.