Passages similar to: Secret Teachings of All Ages — The Pythagorean Theory of Music and Color
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Western Esoteric
Secret Teachings of All Ages
The Pythagorean Theory of Music and Color (34)
In this diagram two interpenetrating pyramids are again employed, one of which represents fire and the other earth. It is demonstrated according to the law of elemental harmony that fire does not enter into the composition of earth nor earth into the composition of fire. The figures on the chart disclose the harmonic relationships existing between the four primary elements according to both Fludd and the Pythagoreans. Earth consists of four parts of its own nature; water of three parts of earth and one part of fire. The sphere of equality is a hypothetical point where there is an equilibrium of two parts of earth and two parts of fire. Air is composed of three parts of fire and one part of earth; fire, of four parts of its own nature. Thus earth and water bear to each other the ratio of 4 to 3, or the diatessaron harmony, and water and the sphere of equality the ratio of 3 to 2, or the diapente harmony. Fire and air also bear to each other the ratio of 4 to 3, or the diatessaron harmony, and air and the sphere of equality the ratio of 3 to 2, or the diapente harmony. As the sum of a diatessaron and a diapente equals a diapason, or octave, it is evident that both the sphere of fire and the sphere of earth are in diapason harmony with the sphere of equality, and also that fire and earth are in disdiapason harmony with each other.
We may now consider the question whether fire is the sole element existing in that celestial realm and whether there is any outgoing thence with the...
(6) We may now consider the question whether fire is the sole element existing in that celestial realm and whether there is any outgoing thence with the consequent need of renewal.
Timaeus pronounced the material frame of the All to consist primarily of earth and fire for visibility, earth for solidity- and deduced that the stars must be mainly composed of fire, but not solely since there is no doubt they are solid.
And this is probably a true account. Plato accepts it as indicated by all the appearances. And, in fact, to all our perception- as we see them and derive from them the impression of illumination- the stars appear to be mostly, if not exclusively, fire: but on reasoning into the matter we judge that since solidity cannot exist apart from earth-matter, they must contain earth as well.
But what place could there be for the other elements? It is impossible to imagine water amid so vast a conflagration; and if air were present it would be continually changing into fire.
Admitting that two self-contained entities, standing as extremes to each other need for their coherence two intermediaries; we may still question whether this holds good with regard to physical bodies. Certainly water and earth can be mixed without any such intermediate. It might seem valid to object that the intermediates are already present in the earth and the water; but a possible answer would be, "Yes, but not as agents whose meeting is necessary to the coherence of those extremes."
None the less we will take it that the coherence of extremes is produced by virtue of each possessing all the intermediates. It is still not proven that fire is necessary to the visibility of earth and earth to the solidarity of fire.
On this principle, nothing possesses an essential-nature of its very own; every several thing is a blend, and its name is merely an indication of the dominant constituent.
Thus we are told that earth cannot have concrete existence without the help of some moist element- the moisture in water being the necessary adhesive- but admitting that we so find it, there is still a contradiction in pretending that any one element has a being of its own and in the same breath denying its self-coherence, making its subsistence depend upon others, and so, in reality, reducing the specific element to nothing. How can we talk of the existence of the definite Kind, earth- earth essential- if there exists no single particle of earth which actually is earth without any need of water to secure its self-cohesion? What has such an adhesive to act upon if there is absolutely no given magnitude of real earth to which it may bind particle after particle in its business of producing the continuous mass? If there is any such given magnitude, large or small, of pure earth, then earth can exist in its own nature, independently of water: if there is no such primary particle of pure earth, then there is nothing whatever for the water to bind. As for air- air unchanged, retaining its distinctive quality- how could it conduce to the subsistence of a dense material like earth?
Similarly with fire. No doubt Timaeus speaks of it as necessary not to the existence but to the visibility of earth and the other elements; and certainly light is essential to all visibility- we cannot say that we see darkness, which implies, precisely, that nothing is seen, as silence means nothing being heard.
But all this does not assure us that the earth to be visible must contain fire: light is sufficient: snow, for example, and other extremely cold substances gleam without the presence of fire- though of course it might be said that fire was once there and communicated colour before disappearing.
As to the composition of water, we must leave it an open question whether there can be such a thing as water without a certain proportion of earth.
But how can air, the yielding element, contain earth?
Fire, again: is earth perhaps necessary there since fire is by its own nature devoid of continuity and not a thing of three dimensions?
Supposing it does not possess the solidity of the three dimensions, it has that of its thrust; now, cannot this belong to it by the mere right and fact of its being one of the corporeal entities in nature? Hardness is another matter, a property confined to earth-stuff. Remember that gold- which is water- becomes dense by the accession not of earth but of denseness or consolidation: in the same way fire, with Soul present within it, may consolidate itself upon the power of the Soul; and there are living beings of fire among the Celestials.
But, in sum, do we abandon the teaching that all the elements enter into the composition of every living thing?
For this sphere, no; but to lift clay into the heavens is against nature, contrary to the laws of her ordaining: it is difficult, too, to think of that swiftest of circuits bearing along earthly bodies in its course nor could such material conduce to the splendour and white glint of the celestial fire.
Chapter 3: Of the most blessed Triumphing, Holy, Holy, Holy Trinity, GOD the Father, Son, and Holy Ghost, ONE only God. (67)
The three elements, fire, air and water, have a threefold moving or qualification, but proceed from one body; and consider, the fire or heat swells...
(67) The three elements, fire, air and water, have a threefold moving or qualification, but proceed from one body; and consider, the fire or heat swells and flies aloft from the sun and stars; and from the heat the air swells [or expands itself] and flies aloft; and from the air comes the water.
Anaxacoras saith:—I make known that the beginning of all those things which God hath created is weight and proportion,* for weight rules all things,...
(3) Anaxacoras saith:—I make known that the beginning of all those things which God hath created is weight and proportion,* for weight rules all things, and the weight and spissitude of the earth is manifest in proportion; but weight is not found except in body. And know, all ye Turba, that the spissitude of the four elements reposes in the earth; for the spissitude of fire falls into air, the spissitude of air, together with the spissitude received from the fire, falls into water; the spissitude also of water, increased by the spissitude of fire and air, reposes in earth. Have you not observed how the spissitude of the four elements is conjoined in earth? The same, therefore, is more inspissated than all.
Then saith the Turba: —Thou hast well spoken. Verily the earth is more inspissated than are the rest. Which, therefore, is the most rare of the four elements and is most worthy to possess the rarity of these four?
He answereth:—Fire is the most rare among all, and thereunto cometh what is rare of these four. But air is less rare than fire, because it is warm and moist, while fire is warm and dry; now that which is warm and dry is more rare than the warm and moist. They say unto him: —Which element is of less rarity than air?
He answereth:—Water, since cold and moisture inhere therein, and every cold humid is of less rarity than a warm humid.
Then do they say unto him:—Thou hast spoken truly. What, therefore, is of less rarity than water?
He answereth:-—Earth, because it is cold and dry, and that which is cold and dry is of less rarity than that which is cold and moist.
PyTHAGoRAS saith:—Well have ye provided, O Sons of the Doctrine, the description of these four natures,* out of which God hath created all things. Blessed, therefore, is he who comprehends what ye have declared, for from the apex of the world he shall not find an intention greater than his own! Let us, therefore, make perfect our discourse.
They reply:—Direct every one to take up our speech in turn. Speak thou, O Pandolfus!
We can scarcely do better, in fine, than follow Plato. Thus: In the universe as a whole there must necessarily be such a degree of solidity, that is...
(7) We can scarcely do better, in fine, than follow Plato.
Thus:
In the universe as a whole there must necessarily be such a degree of solidity, that is to say, of resistance, as will ensure that the earth, set in the centre, be a sure footing and support to the living beings moving over it, and inevitably communicate something of its own density to them: the earth will possess coherence by its own unaided quality, but visibility by the presence of fire: it will contain water against the dryness which would prevent the cohesion of its particles; it will hold air to lighten its bulky matters; it will be in contact with the celestial fire- not as being a member of the sidereal system but by the simple fact that the fire there and our earth both belong to the ordered universe so that something of the earth is taken up by the fire as something of the fire by the earth and something of everything by everything else.
This borrowing, however, does not mean that the one thing taking-up from the other enters into a composition, becoming an element in a total of both: it is simply a consequence of the kosmic fellowship; the participant retains its own being and takes over not the thing itself but some property of the thing, not air but air's yielding softness, not fire but fire's incandescence: mixing is another process, a complete surrender with a resultant compound not, as in this case, earth- remaining earth, the solidity and density we know- with something of fire's qualities superadded.
We have authority for this where we read:
"At the second circuit from the earth, God kindled a light": he is speaking of the sun which, elsewhere, he calls the all-glowing and, again, the all-gleaming: thus he prevents us imagining it to be anything else but fire, though of a peculiar kind; in other words it is light, which he distinguishes from flame as being only modestly warm: this light is a corporeal substance but from it there shines forth that other "light" which, though it carries the same name, we pronounce incorporeal, given forth from the first as its flower and radiance, the veritable "incandescent body." Plato's word earthy is commonly taken in too depreciatory a sense: he is thinking of earth as the principle of solidity; we are apt to ignore his distinctions and think of the concrete clay.
Fire of this order, giving forth this purest light, belongs to the upper realm, and there its seat is fixed by nature; but we must not, on that account, suppose the flame of earth to be associated with the beings of that higher sphere.
No: the flame of this world, once it has attained a certain height, is extinguished by the currents of air opposed to it. Moreover, as it carries an earthy element on its upward path, it is weighed downwards and cannot reach those loftier regions. It comes to a stand somewhere below the moon- making the air at that point subtler- and its flame, if any flame can persist, is subdued and softened, and no longer retains its first intensity, but gives out only what radiance it reflects from the light above.
And it is that loftier light- falling variously upon the stars; to each in a certain proportion- that gives them their characteristic differences, as well in magnitude as in colour; just such light constitutes also the still higher heavenly bodies which, however, like clear air, are invisible because of the subtle texture and unresisting transparency of their material substance and also by their very distance.
Timaeus: and the fractions of air which come from the dissolving of one particle will form two corpuscles of fire. And again, when a small quantity...
(56) Timaeus: and the fractions of air which come from the dissolving of one particle will form two corpuscles of fire. And again, when a small quantity of fire is enclosed by a large quantity of air and water, or of earth, and moves within them as they rush along, and is defeated in its struggle and broken up, then two corpuscles of fire unite to make one form of air. And when air is defeated and disintegrated, from two whole forms of air and a half, one whole form of water will be compounded.
Conformably, also, to what has been said, the fire of the Gods, indeed, shines forth with an indivisible and ineffable light, and fills all the...
(5) Conformably, also, to what has been said, the fire of the Gods, indeed, shines forth with an indivisible and ineffable light, and fills all the profundities of the world, in an empyrean, but not in a mundane, manner. But the fire of archangels is impartible indeed, but is seen to possess about itself an abundant multitude, either preceding or following after itself. The fire of angels is divided, except that it exhibits itself in the most perfect ideas. That of dæmons is still more shortly circumscribed by a distribution into parts, is effable, and does not astonish the sight of those that have seen more excellent natures. The fire of heroes has, after a certain manner, the same things as that of dæmons, but at the same time falls short of the most accurate similitude to it. Moreover, with respect to archons, the fire of those that are of a more elevated order, is more pellucid; but of those that are material, is more dark. And the fire of souls is seen to be much divided and multiform, and is comingled from many of the natures that are in the world. Again, the fire of the Gods appears to be entirely stable. That of archangels is tranquil; but that of angels is stably moved. The fire of dæmons is unstable; but that of heroes is, for the most part, rapidly moved. The fire of those archons that are of the first rank is tranquil; but of those that are of the last order is tumultuous. And the fire of souls is transmuted in a multitude of motions.
Chapter XIV: Greek Plagiarism From the Hebrews. (26)
I do not pass over Empedocles, who speaks thus physically of the renewal of all things, as consisting in a transmutation into the essence of fire,...
(26) I do not pass over Empedocles, who speaks thus physically of the renewal of all things, as consisting in a transmutation into the essence of fire, which is to take place. And most plainly of the same opinion is Heraclitus of Ephesus, who considered that there was a world everlasting, and recognised one perishable - that is, in its arrangement, not being different from the former, viewed in a certain aspect. But that he knew the imperishable world which consists of the universal essence to be everlastingly of a certain nature, he makes clear by speaking thus: "The same world of all things, neither any of the gods, nor any one of men, made. But there was, and is, and will be ever-living fire, kindled according to measure, and quenched according to measure." And that he taught it to be generated and perishable, is shown by what follows: "There are transmutations of fire, - first, the sea; and of the sea the half is land, the half fiery vapour." For he says that these are the effects of power. For fire is by the Word of God, which governs all things, changed by the air into moisture, which is, as it were, the germ of cosmical change; and this he calls sea. And out of it again is produced earth, and sky, and all that they contain. How, again, they are restored and ignited, he shows clearly in these words: "The sea is diffused and measured according to the same rule which subsisted before it became earth." Similarly also respecting the other elements, the same is to be understood. The most renowned of the Stoics teach similar doctrines with him, in treating of the conflagration and the government of the world, and both the world and man properly so called, and of the continuance of our souls.
But that also the element of fire is, and does rule in the deep of the air and water, thou seest in tempests of lightning; also thou perceivest how th...
(34) But that also the element of fire is, and does rule in the deep of the air and water, thou seest in tempests of lightning; also thou perceivest how the light of the sun kindleth the element of fire on the earth with its reflection, although many times aloft in the upper region towards the moon it is very cold.
Chapter 1: Of Searching out the Divine Being in Nature: Of both the Qualities, the Good and the Evil. (27)
Thus heat and cold are the cause and original of water and air, in which everything acteth and stands; every life and mobility stands therein. Of...
(27) Thus heat and cold are the cause and original of water and air, in which everything acteth and stands; every life and mobility stands therein. Of this I shall write plainly, concerning the creation of the stars. Of the Influences of the other Qualities in the Three Elements, Fire, Air, and Water. Of the Bitter Quality.
Iximiprus saith:—I testify that the beginning of all things is a Certain Nature, which is perpetual, coequalling all things, and that the visible...
(1) Iximiprus saith:—I testify that the beginning of all things is a Certain Nature, which is perpetual, coequalling all things, and that the visible natures, with their births and decay, are times wherein the ends to which that nature brings them are beheld and summoned.* Now, I instruct you that the stars are igneous, and are kept within bounds by the air. If the humidity and density of the air did not exist to separate the flames of the sun from living things, then the Sun would consume all creatures. But God has provided the separating air, lest that which He has created should be burnt up. Do you not observe that the Sun when it rises in the heaven overcomes the air by its heat, and that the warmth penetrates from the upper to the lower parts of the air? If, then, the air did not presently breathe forth those winds whereby creatures are generated, the i Sun by its heat would certainly destroy all that lives. But the Sun is kept in check by the air, which thus conquers because it unites the heat of the Sun to its own heat, and the humidity of water to its own humidity. Have you not remarked how tenuous water.
is drawn up into the air by the action of the heat of the Sun, which thus helps the water against itself? If the water did not nourish the air by such tenuous moisture, assuredly the Sun would overcome the air. The fire, therefore, extracts moisture from the water, by means of which the air conquers the fire itself. Thus, fire and water are enemies between which there is no consanguinity, for the fire is hot and dry, but the water is cold and moist.. The air, which is warm and moist, joins these together by its concording medium; between the humidity of water and the heat of fire the air is thus placed to establish peace. And lock ye all how there shall arise a spirit from the tenuous vapour of the air, because the heat being joined to the humour, there necessarily issues something tenuous, which will become a wind. For the heat of the Sun extracts something tenuous out of the air, which also becomes spirit and life to all creatures. All this, however, is disposed in such manner by the will of God, and a coruscation appears when the heat of the Sun touches and breaks up a cloud.
The Turba saith:—Well hast thou described the fire, even as thou knowest concerning it, and thou hast believed the word of thy brother.
Chapter 3: Of the most blessed Triumphing, Holy, Holy, Holy Trinity, GOD the Father, Son, and Holy Ghost, ONE only God. (69)
And as the three elements, fire, air and water, proceed from the sun and stars, and are one body in one another, and cause the living motion, and the ...
(69) And as the three elements, fire, air and water, proceed from the sun and stars, and are one body in one another, and cause the living motion, and the spirit of all the creatures of this world.
Timaeus: as we believe, stones and earth; and again, this same substance, by dissolving and dilating, becoming breath and air; and air through...
(49) Timaeus: as we believe, stones and earth; and again, this same substance, by dissolving and dilating, becoming breath and air; and air through combustion becoming fire; and conversely, fire when contracted and quenched returning back to the form of air and air once more uniting and condensing into cloud and mist; and issuing from these, when still further compressed, flowing water; and from water earth and stones again: thus we see the elements passing on to one another, as it would seem,
Timaeus: Wherefore, fire most of all has permeated all things, and in a second degree air, as it is by nature second in fineness; and so with the...
(58) Timaeus: Wherefore, fire most of all has permeated all things, and in a second degree air, as it is by nature second in fineness; and so with the rest; for those that have the largest constituent parts have the largest void left in their construction, and those that have the smallest the least. Thus the tightening of the compression forces together the small bodies into the void intervals of the large. Therefore, when small bodies are placed beside large, and the smaller disintegrate the larger while the larger unite the smaller, they all shift up and down
Earth hath, moreover, always many changes in its species;—both when she brings forth fruits, and when she also nourishes her bringings-forth with the...
(2) Earth hath, moreover, always many changes in its species;—both when she brings forth fruits, and when she also nourishes her bringings-forth with the return of all the fruits; the diverse qualities and quantities of air, its stoppings and its flowings ; and before all the qualities of trees, of flowers, and berries, of scents, of savours—species. Fire [also] brings about most numerous conversions, and divine. For these are all-formed images of Sun and Moon ; they’re, as it were, like our own mirrors, which with their emulous resplendence give us back the likenesses of our own images.
Chapter 17: Of the horrible, lamentable, and miserable Fall of Adam and Eve in Paradise. Man 's Looking-Glass. (8)
For a Stone is but Water; and therefore we should do well to consider, what Kind of Fierceness there must have been, that has drawn the Water so hard ...
(8) For this is very well to be apprehended and perceived in the Earth and Stones, that the four Elements are of one only Substance, and that the Earth and Stones were generated in the Fierceness from the Kindling of the Elements. For a Stone is but Water; and therefore we should do well to consider, what Kind of Fierceness there must have been, that has drawn the Water so hard together.
Timaeus: so long as the water occupies the interspaces of earth which are forcibly contracted, the portions of water which approach from without find...
(61) Timaeus: so long as the water occupies the interspaces of earth which are forcibly contracted, the portions of water which approach from without find no entrance, but flow round the whole mass and leave it undissolved. But when portions of fire enter into the interspaces of the water they produce the same effects on water as water does on earth; consequently, they are the sole causes why the compound substance is dissolved and flows. And of these substances those which contain less water than earth form the whole kind known as “glass,”
Timaeus: the equilateral triangle is constructed as a third. The reason why is a longer story; but should anyone refute us and discover that it is...
(54) Timaeus: the equilateral triangle is constructed as a third. The reason why is a longer story; but should anyone refute us and discover that it is not so, we begrudge him not the prize. Accordingly, let these two triangles be selected as those wherefrom are contrived the bodies of fire and of the other elements,— one being the isosceles, and the other that which always has the square on its greater side three times the square on the lesser side. Moreover, a point about which our previous statement was obscure must now be defined more clearly. It appeared as if the four Kinds,
But these are moved conformably to the mandates of the celestial Gods. For the most pure, agile, and supreme part of the air, is adapted to be enkindl...
(2) Moreover, the lations of the stars approximate to the eternal circulations of the heavens, not only locally, but also in powers, and the irradiations of light. But these are moved conformably to the mandates of the celestial Gods. For the most pure, agile, and supreme part of the air, is adapted to be enkindled [ i. e. is most inflammable], so that when the Gods assent, it is immediately set on fire. And if some one thinks that certain effluxions of the celestial bodies are imparted to the air, his opinion will not be discordant with what is frequently effected by the divine art. The union, also, and sympathy of the universe, and the simultaneous motion of the most remote parts, as if they were near, and belonged to one animal, cause these signs to be sent from the Gods to men in the most luminous manner, primarily, indeed, through the heavens, but afterwards through the air.
The division into elements must, in short, be abandoned, especially in regard to Sensible Substance, known necessarily by sense rather than by...
(8) The division into elements must, in short, be abandoned, especially in regard to Sensible Substance, known necessarily by sense rather than by reason. We must no longer look for help in constituent parts, since such parts will not be substances, or at any rate not sensible substances.
Our plan must be to apprehend what is constant in stone, earth, water and the entities which they compose- the vegetal and animal forms, considered purely as sensibles- and to confine this constant within a single genus. Neither Matter nor Form will thus be overlooked, for Sensible Substance comports them; fire and earth and the two intermediaries consist of Matter and Form, while composite things are actually many substances in one. They all, moreover, have that common property which distinguishes them from other things: serving as subjects to these others, they are never themselves present in a subject nor predicated of any other thing. Similarly, all the characteristics which we have ascribed to Substance find a place in this classification.
But Sensible Substance is never found apart from magnitude and quality: how then do we proceed to separate these accidents? If we subtract them- magnitude, figure, colour, dryness, moistness- what is there left to be regarded as Substance itself? All the substances under consideration are, of course, qualified.
There is, however, something in relation to which whatever turns Substance into qualified Substance is accidental: thus, the whole of fire is not Substance, but only a part of it- if the term "part" be allowed.
What then can this "part" be? Matter may be suggested. But are we actually to maintain that the particular sensible substance consists of a conglomeration of qualities and Matter, while Sensible Substance as a whole is merely the sum of these coagulations in the uniform Matter, each one separately forming a quale or a quantum or else a thing of many qualities? Is it true to say that everything whose absence leaves subsistence incomplete is a part of the particular substance, while all that is accidental to the substance already existent takes independent rank and is not submerged in the mixture which constitutes this so-called substance?
I decline to allow that whatever combines in this way with anything else is Substance if it helps to produce a single mass having quantity and quality, whereas taken by itself and divorced from this complementary function it is a quality: not everything which composes the amalgam is Substance, but only the amalgam as a whole.
And let no one take exception on the ground that we produce Sensible Substance from non-substances. The whole amalgam itself is not True Substance; it is merely an imitation of that True Substance which has Being apart from its concomitants, these indeed being derived from it as the possessor of True Being. In the lower realm the case is different: the underlying ground is sterile, and from its inability to produce fails to attain to the status of Being; it remains a shadow, and on this shadow is traced a sketch- the world of Appearance.
Timaeus: Thus earth when it is not forcibly condensed is dissolved only by water; and when it is condensed it is dissolved by fire only, since no...
(61) Timaeus: Thus earth when it is not forcibly condensed is dissolved only by water; and when it is condensed it is dissolved by fire only, since no entrance is left for anything save fire. Water, again, when most forcibly massed together is dissolved by fire only, but when massed less forcibly both by fire and air, the latter acting by way of the interstices, and the former by way of the triangles; but air when forcibly condensed is dissolved by nothing save by way of its elemental triangles, and when unforced it is melted down by fire only. As regards the classes of bodies which are compounds of earth and water,