07-17-2012, 10:09 AM
Each subset has a different set of 'polarity reversals' or
patterns of smallest/largest leading frequency.
(The S and B marked on the diagrams indicate
which of the pair is 'leading' the smallest or biggest.)
The 1:8 Beat Frequency subset:
The 2:7 Beat Frequency subset:
The 'Classic' 3:6 Beat Frequency subset:
(note this is the only subset that is NOT Unicursal...
MultiCursal if you will )
This specific set of 18 tones include the frequencies that
are known to most people as the "Sacred Solfeggio Tones"
What makes this 'beat family' sacred I hear you ask?
3:6 is an octave
and we're dealing with
The 4:5 Beat Frequency subset:
If we look at all the 4 sequences and track the
frequencies linearly we can trace the Spin directions.
The position of the lowest frequency spirals in a reverse
direction, inward and then outward again from 1 thru to 9.
All together now:
Each '100hz octave group' from 1-9 can
now be assigned to 8 tones:
(4 black/ 4 white)
(shown here in grey for contrast against the background)
Note the 3rd column = 'standard solfeggios' deosil
and the 7th column = 'standard solfeggios' widdershins
Also that the 1st and last BOTH start with the
lowest frequency of the group ALREADY.
Easier to see in the linear arrangement:
Notice every 4th group represents
a full reversal of 'yin+yang'
with the full 9 cycle returning to the
same starting polarity/spin order
and of course 2 and 8, 3 and 7 and 4 and 6
and also polar inverse groups.
represent the following whole number ratios
and any combination you care to play together
these are the simplest 'purest' intervals.
The logic fits with the 'Enneagram Tone Set'.
They would represent the energy of the
nine points as opposed to 'paths'.
Full 81 tone Ordinal Sequence
Full 81 tone Linear Sequence
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