Amazingly I discovered an article by Professor Ernest McClain on Plato and the I Ching music harmonics
It is just one chapter in another book - so I had never seen the book. I even corresponded with Professor McClain, before his death, but he had never mentioned this article.
On the one hand - it is further corroboration of the close ties between Pythagorean philosophy and Daoist alchemy training.
But at the same time it also reveals the "bait and switch" method of Plato that, unfortunately, Ernest McClain went along with.
Jung Hee Choi: (pdf link) writes how 3 in the Tao Te Ching: "refers to the musical fifth" and so Ernest McClain also corroborates this claim, calling it "tonal-trinitarianism."
Professor Richard McKirahan confirms (pdf) that (An Overview of Philolaus' Metaphysics and Epistemology):
"knowing the rations 2:1, 3:2, and 4:3 (which, by the way, is all the early Pythagoreans knew) is not enough to know the nature of the octave; we also need to know what limiters and unlimiteds are in play."So Richard McKirahan had his whole chapter online but now just part of Philolaus On Number in google preview
McKirahan emphasizes that while Philolaus stated frequencies or harmonic intervals are ratios, not numbers, yet:
the early Pythagoreans .....held that things are numbers....Also we should add that "One" is not a number, since number was defined as a "plurality of units" - rather One was not even the Sun, but rather One was the "central fire" - the secret source of the Sun.
I should have blogged on this book already - when I had access to the full article....http://ecoechoinvasives.blogspot.com/2017/11/debunking-later-pythagorean-philolaus.html
Right....so it was Philolaus providing the secret of the "double octave."
So then the ratio 3:2 is the string length 2/3 and the ratio 4:3 is actually 8/6 as 3/4 of the double octave 12 to 8 string length.And how was it derived - in my Blue Light of Blues Music article? Not the same!
I have previously cited academic analysis that the "Orthodox Pythagoreans" did not use the ratio 9:8 even though Philolaus had to use 9:8 and so the only way he could do so was by creating the double octave analysis.
So we are always taught that the double octave is 6:8:9:12 but in fact Philolaus realized (or argued erroneously) it is 0:6:8:9:12!!!"Going down by a Fifth means dividing by 3/2. All together we have 2/(3/2) = 4/3. Thus, by combining intervals, we have actually produced a new interval, called the Perfect Fourth. The Perfect Fourth is defined by a ratio of 4/3."
And so as I say in the blog post - the 4 is the double octave as 12 with 0 to 6 as the first octave and 6 to 12 as the 2nd octave!! And so then 4 (the 2nd octave) is actually the octave SQUARED - - based on the secret of Archytas - the bait and switch from doubling octaves to squaring as geometric mean. To quote myself:
The whole discussion is about the "central fire" (Hades or Hell) and so alchemically, as Kingsley points out that Empedocles teaches to focus the mind on the lower body stomach - that the "central fire" is in fact the light that comes out of the darkness of the lower emotional energy itself.Wow I started out to debunk Ernest McClain - which was kind of a waste of time - and instead I discovered a NEW secret of Peter Kingsley!!
Peter Kingsley: Yes, and it’s also found in Taoist exercises as well as particular strands of Buddhism.... Empedocles tells his student that “if you press my words down underneath your dense-packed diaphragm,” in other words if you breathe them in deeply into your belly, then they will stay with you and they will grow and they will change you.Kingsley is refering to the Central Fire as the Number One - the Shen under the Jing secret of Daoist alchemy.
The inner farming
Dear Dr. Peter Kingsley:
http://ecoechoinvasives.blogspot.com/2018/02/pythagorean-central-fire-is-number-one.html
So Professor Richard McKirahan pooh-poohs the early Pythagoreans as not being as smart as Philolaus who realized that harmonic intervals are ratios, not "number." And so McKirahan then says Philolaus had to use the double octave to get 4/3 as the Perfect Fourth from the ratio 8/6 as 3/4 the wavelength of the double octave. And so this was the secret "vanishing mediator" to ARchytas using the geometric mean squared equation that converted the noncommutative phase of 2/3 C to F Perfect Fifth subharmonic into 4/3 as the harmonic mean (not the subcontrary mean).
But what McKirahan has no idea about is the real Pythagorean alchemy training - that you know about it! That to breath into the diaphragm is the secret of the Number 1 as the central fire, alchemical the fire below the water to create the pneuma or aion or qi or prana. It is amazing that these "expert" professors are still castigating and rejected real Pythagorean philosophy!! Thank you for revealing the truth - that I can only understand from having trained with a real Daoist alchemist based on the same harmonic secrets.
So then from this PDF - The Reign of the WhirlWind - we find that perhaps Philolaus understood the real secret of noncommutative phase!!
He called his "harmonized One," the "Mother of the Gods." ....It was also the "binding measure of Nature" because it is the "odd-even ratio." (A 16).And so Pythagorean believed that the Fiery Hearth DEVOURED THE AIR (the Void) to create the Cosmos!!
yes the shen devours the qi to create jing.
The Cosmos nourished itself by exhalations of fire (shen) and water (jing)
The body is a tomb for our soul and rational thought is the spark of the Hearth.
Harris, H.S. is the author.
And from Andrei Lebedev:Manuscripts of H.S. Harris - YorkSpace - York University
H. S. (Henry Silton) Harris, author and educator, was born on 11 April 1926 in Brighton England. He received his B. A. (Literae Humaniores) in classics and philosophy from Oxford University in 1949, his M. A. in 1952 and his Ph.D. (https://yorkspace.library.yorku.ca/xmlui/handle/10315/883philosophy) in 1954 at the University of Illinois at Urbana-Champaign. Following a teaching ...
There can be little doubt that Being of the Aletheia corresponds to the Light in
Doxa, and Non-Being of Aletheia corresponds to the Night in Doxa. This was correctly understood already by Aristotle who equates the basic oppositions of Aletheia and Doxa and correlates what-is with fire and what-is-not with earth in GC 318d7 ὥσπερ Παρµενίδης έγει, τὸ ὂν καὶ τὸ µὴ ὂν φάσκων εἶναι πῦρ καὶ γῆν.
The lines B 8.34 ff. should be interpreted in the same way, as asserting the intelligible nature of the objects of mind: Ταὐτὸν δ᾽ἐστὶ νοεῖν τε καὶ οὕνεκεν ἔστι νόηµα. ‘The same thing is to perceive and what causes perception’
the Sphere of Being in Aletheia was conceived as a Sphere of divine thinking light.
The cosmic harmony of the Pythagoreans was not just a law of nature (like Anaximander's law of exact compensation in material change), but a moral and political paradigm for ascetic spiritual discipline.
The verb used by Philolaus , the use of... in the sense of “to come into being by means harmonizing itself” is both unlikely and unattested.
Parmenides (i.e. in the early 5th century B.C.) is a technical term for subjective opinion produced by sense perception as opposed to the objective reality that can be known by “pure mind”,
By “emptiness” Parmenides means not the empty space of Democritus, but the “absence of mind”, i.e. body.
These were originally geometrical concepts: peras corresponds, e.g. to the shape of a square, and apeiron to the “empty space” enclosed within it. Since it lacks a shape of its own, it cannot be an object of thought, we can only “dream” about it (, Tim. 52a 11).
According to Sotion Parmenides was converted to «tranquility”, i.e. Pythagorean virtuous life of contemplation, by his Pythagorean teacher Ameinias.
One may guess that Pythagoreans and Eleatics practiced spiritual exercises and meditations contemplating with the internal the intelligible «Sun of Justice» described in Parmenides’ Aletheia.
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