In the Harmonics Theory, the calculation of harmonics is based on the statement: The Universe consists of a wave which develops harmonics and each of these does the same.
and it looks like This but carries on much further.
2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 ... 1 --> 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ... 2 --> 1 1 1 1 1 1 1 3 --> 1 1 1 1 4 --> 2 2 2 5 --> 1 1 6 --> 3 7 --> 1 8 --> 4 ... etc Total 1 1 2 1 3 1 4 2 3 1 8 1 3 3 8 ...
When I last did the harmonics calculations I did them up to 10^50 or so. That was the third time as I went further each time a new faster processor came out. I haven't done it for decades. The last report was on this page: https://ray.tomes.biz/maths.html and it shows the pattern of predicted harmonics
where after 10^52 it is incomplete. In order to calculate further I enlisted the help of Claude (AI) and together we made a new program in python to replace my original in FreeBasic. I explained the original calculation and two tricks I used to speed it up by a large factor. It made me wait while it checked those out and once it understood it improved one of my methods. so after a little while I ran it on my computer and it was some 24+ times faster Than last time as well as going 10^20 times further. Yes, computers have really got that much faster. The new harmonics up to 10^72 look like this:
