|3 Aug 2009 @ 18:35, by Max Sandor|
Little Anthony wasn't satisfied with the tuning of our guitars and retuned all of them the other day. With just a bit more than 2 years in this world, he didn't conform with our self-set musical standards. A good time to think about tuning (once again) and see where it may lead us.
Mathematically the base of 440 Herz in 7-stage tonal system is a bit strange, quite chaotic, some say. But what else is out there?
Well, there is the Solfeggio scale (not to be confused with the Solfège method!), of course, and I took the opportunity to tune down from 440 Hz to 417 to get in range. The result was a real mind opener (or should I say heart opener?)
In any case, hearing is believing but unfortunately not a lot of music exists (yet) that is based on this tuning and some that do exist have some errors, like some videos on youtube.com that promote the concept as a meditation tool.
Of course, after playing a bit on the newly tuned guitars and bass, one of the first things that I checked out was the claim that the chords that seem more harmonic would be within the same numerical 'group' of tones, namely:
1. 174 417 741
2. 285 528 852
3. 396 639 963
Wow! That IS interesting. Magick ;-) Check out the diagonal sums too ;-)
Next step, you guessed it, let's look at where the frequencies would be on the Toth diagram (see drawing)! To allocate them without further own meditation/contemplation, I used the existing descriptions from the Internet, and lo'n behold, here they are:
(Solfège name / binary number / frequency (Hz) / descriptions by others)
... 285 Quantum Cognition
UT 396 Hz Liberating Guilt and Fear
RE 417 Hz Transmutation, Undoing Situations and Facilitating Change
MI 528 Hz Love, Transformation and Miracles (DNA Repair)
FA 639 Hz Connecting/Relationships
SOL 741 Hz Consciousness Expansion, Awakening Intuition
... 852 Hz Returning to Spiritual Order
We identify the Ifa prime energy (Odu) for 528 as Otura and immediate recognize the next nodes as a clockwise progression as a wheel within the fourfold wheels of the Toth diagram: Otura, Irete, Ogbe, and Oyeku. We can chip in the remaining Odus even without a description of Solfeggio fans as Oturupon (963 Hz) and Ika (285 Hz). For the latter 'quantum consciousness' is an odd description as in Ifa it is the sacred energy of birth (and death).
Then we'll have:
(binary number / Ifa name / frequency (Hz) / descriptions by others)
4. Ika 285 Quantum Cognition
5. UT Ofun 396 Hz Liberating Guilt and Fear
9. RE Oshe 417 Hz Transmutation, Undoing Situations and Facilitating Change
13. MI Otura 528 Hz Love, Transformation and Miracles (DNA Repair)
14. FA Irete 639 Hz Connecting/Relationships
256. SOL Ogbe 741 Hz Consciousness Expansion, Awakening Intuition
0. Oyeku 852 Hz Returning to Spiritual Order
2. Oturupon 963 (?)
Back to the harmonic triangles: the missing corner of the first triangle must have a frequency of 174 or 1074 since all frequencies of the Solfeggio scale are 111 Hertz apart. Note that the sum of individual numbers needed to maintain the phenomenon of equal sums is PRESERVED either way: 1+7+4=1+0+7+4=12 (the other triangles add up to 15 and 18 respectively). This is a very interesting property of the sums of 111.
The ninth energy node (Olodu), we could speculate, could be on the OUTER wheel of the Toth Diagram.
Let's look at the properties of the harmonic triangles that are complete:
Ofun-Irete-Oturupon are all describing spiritual qualities, and Ika, Otura, Oyeku are on the emotional and basic life side, the side of what I came to call the 'soul side'.
The triangles are composed of two Odu nodes of a basic wheel in sequence PLUS one Odu node of the 'super wheel of manifestation', Ogbe, Oyeku, Ofun, and Oshe.
The subgroups that produce harmonies are triangles within the wheel, namely:
1. ?, Oshe, Ogbe
2. Ika Otura Oyeku
3. Ofun Irete Oturupon
OK, let's look at the binary code:
1. ? 1010 1111
2. 0100 1011 0000
3. 1010 1101 0010
Obviously, (2.) results from (1.) by adding a binary '1' and (3.) from (2.) by adding 2 (binary '10'). Therefore, if the internal math would be consistent, the missing Odu node would have the binary code of 0100 minus 1 and that would be 0011 which is Owonrin, the upper left node on the Toth diagram.
Owonrin is characterized as 'form' in contrast to 'essence' (irosun), slow or frozen flow in contrast to energy bolts, mental images in contrast to 'movies', giving permanent shape to things. The frequency (174 or 1074?) would result in moods of creative contemplation, imaginery, phantasy, but easily also slowing down energies, in this sense relaxing. Owonrin, in 'classic Ifa' is the bridge between 'will' and 'physical manifestion'.
As a temporary final note, the 'sound of creation', as a chord, would be 'Owonrin-Ogbe-Oshe', (174,417,741 Hertz), and whoever knows Ifa good enough, knows the above combination very, very well. The Universe is a woman, one might conclude from the above, if it wouldn't already be clear enough. The 'sound of silence' (oyeku) together with the 'sound of the heart' (otura) results in life (Ika, which, as a name, also contains the root of literally 'heart'): 285, 528, 825 Hz. Finally, the great harmony of the spirit would be the wisdom of Ofun, the relations within the world (Irete), and the ethics and sovereignty of the spirit (Oturupon) as 396, 693, and 963 Hz.
Hmm, time to get back to the noise-making toys, eh.. tools, and play with that after playing enough with numbers for now :-)
PS: Aug 6th: I corrected the binary writings of the odu since I goofed. And found that the math is not as clear for the first column. It is still Owonrin (as I happen to know through other sources) but one doesn't arrive there by simply subtracting 1. I left it there because it is still fascinating. I also made the graph a bit clearer since several people wrote me that they couldn't see the basic loop. You can look at the Toth diagram description earlier in this BLOG to verify the sequence. In itself it is quite amazing, lending credibility to BOTH the Toth Diagram and the Solfeggio Sound Theory.
Also, dear reader, check out the sound files Mortimer made (see the 'comments').