I was interested in finding a connection between the Solfeggio tones and my theory "The Base Harmonics Of Universal Tones" As hard as I tried, I just couldn't make them connect in a way that would satisfy a legitimate mathematical model.
After careful consideration, I noticed something about the original Solfeggio order of tones. The Solfeggio tones are a play on the sequential numbers from 1 to 9.
This is what I found:
1 7 4---- 4 1 7---- 7 4 1
2 8 5---- 5 2 8---- 8 5 2
3 9 6---- 6 3 9---- 9 6 3
Starting from the first group of tones, first number moving down, then up and to the second group, then the third group, always using the first number moving down. You will see that the first number in each tone is in sequential order from 1 to 9.
Starting from the second group of tones, using the second number moving down, using the same method as the first one except you will always use the second number in each tone, and end the count at the first group. You will see that the second number in each tone is in sequential order from 1 to 9.
Starting from the third group of tones, always using the third number moving down, then up and back to the first group, ending at the second group, you will see that the third number in each tone is in sequential order from 1 to 9.
As cleaver of a matrix as this is, it just doesn't have any relevance to any natural tones provided by the Universe.
As you can see there is another way that you can play on these numbers.
1 4 7---- 4 7 1---- 7 1 4
2 5 8---- 5 8 2---- 8 2 5
3 6 9---- 6 9 3---- 9 3 6
I think the way Solfeggio arranged them is sequentially better, but neither way has any relevance to the Universal tones, except for the 471Hz. tone. Actually the way that I've arranged them is closer to the Universal tones than Solfeggio's way. The frequencies are fairly close to the Universal tones, and that is why they seem to work, but we can do much better.
These are the Universal tones arranged so that the first number in each tone is sequential from 1 to 9.
131.53Hz. = 12^√C^3 = 8^√C^2 = 4^√C
264.09Hz. = 7^√C^2
349.01Hz. = 10^√C^3
471.39Hz. = (C m)^3 / (2π^2 r)^3
551.98Hz. = 11(C m / (2π^2 r))
668.93Hz. = 9^√C^3 = 6^√C^2 = 3^√C
710.88Hz. = 2√(C G)^3 / (C G)^3
813.33Hz. = 9(13^√C^3)
920.71Hz. = 7(12^C^3) = 7(8^√C^2) = 7(4^√C)
There are several different ways that I can arrive at the sequential order of 1 to 9 using different Universal tones, but I think that the way I have it now is the best way to represent the sequence.
This arrangement is OK, but it leaves out plenty of very important frequencies. Some are lower than 131.53Hz. and some are higher than 920.71Hz. Also there are tones in between that are important as well, so I don't put a lot of relevance to this sequence, but it has its musical uses I suppose. You can look at my article on "The Base Harmonics Of Universal Tones" to view all the Universal tones.