Numerological reduction to foundation numbers in the musical overtone series
Posted: Mon Oct 24, 2022 6:42 pm
I made a discovery that I wanted to share about the musical overtone series. In addition to musicians, it could be of some interest to people studying mathematical and numerological concepts.
Starting the overtone series from the fundamental tone (and scientifically called the 1st partial) of C(3)(that is one octave lower than the middle C, that is named as C(4), which number in the end of the letter marks the note's octave), we find that the number pattern 246813579 appears and repeats endlessly among the partials of overtone series, if we choose to look at the hertz-values that exist in 432 Hz tuning for a musical instrument (meaning in this case that 432 Hz (432 cycles per second) is the frequency of A(4) and 108 Hz of A(2)). As we can see, all the numbers 2,4,6,8,1,3,5,7,9 are all of the foundation numbers, that all the multi-digit numbers can be reduced to by a numerological reduction method. The pattern gives us first the even foundation numbers then followed the odd foundation numbers.
The operation of reducing these frequencys of overtone series' partials goes as following from first partial to the ninth:
C(3) = 128 Hz = 128 = 11 = 2
= 2
C(4) = 256 Hz = 256 = 13 = 4
= 4
G(4) = 384 Hz = 384 = 15 = 6
= 6
C(5) = 512 Hz = 512 = 8
= 8
E(5) = 640 Hz = 640 = 10 = 1
= 1
G(5) = 768 Hz = 768 = 21 = 3
= 3
Bb(5) = 896 Hz = 896 = 23 = 5
= 5
C(6) = 1024 Hz = 1024 = 7
= 7
D(6) = 1152 Hz = 1152 = 9
= 9
And with the tenth partial the 246813579 pattern starts all over again with certain foundation numbers representing different notes of the harmonic series than on the first round of these nine number reductions. The pattern continues as following:
E(6) = 1280 Hz = 1280 = 11 = 2
= 2
F#(6) = 1408 Hz = 1408 = 13 = 4
= 4
G(6) = 1536 Hz = 1536 = 15 = 6
= 6
Ab(6) = 1664 Hz = 1664 = 17 = 8
= 8
Bb(6) = 1792 Hz = 1792 = 19 = 10 = 1
= 1
B(6) = 1920 Hz = 1920 = 12 = 3
= 3
C(7) = 2048 Hz = 2048 = 14 = 5
= 5
Et Cetera...
Does this pattern or some numbers presented evoke any thoughts on you on numerical symbolism and ideas of correspondences in occult study of numbers?
To my mind first comes at least numbers 432 and 108 as they are of relevant numbers in time cycle division of Hindu tradition and interestingly they both reduce numerologically to the number 9. Ofcourse the theme of number 9 can also be found from SoA:s Hieroglyphical key with 9 planets with the help of a space-diagonal.
[Edited October 25 2022]