From these ends is extended the spindle of Necessity, on which all the revolutions turn. The shaft and hook of this spindle are made of steel, and the...
(616) midst of the light, they saw the ends of the chains of heaven let down from above: for this light is the belt of heaven, and holds together the circle of the universe, like the under-girders of a trireme. From these ends is extended the spindle of Necessity, on which all the revolutions turn. The shaft and hook of this spindle are made of steel, and the whorl is made partly of steel and also partly of other materials. Now the whorl is in form like the whorl used on earth; and the description of it implied that there is one large hollow whorl which is quite scooped out, and into this is fitted another lesser one, and another, and another, and four others, making eight in all, like vessels which fit into one another; the whorls show their edges on the upper side, and on their lower side all together form one continuous whorl. This is pierced by the spindle, which is driven home through the centre of the eighth. The first and outermost whorl has the rim broadest, and the seven inner whorls are narrower, in the following proportions—the sixth is next to the first in size, the fourth next to the sixth; then comes the eighth; the seventh is fifth, the fifth is sixth, the third is seventh, last and eighth comes the second. The largest [or fixed stars] is spangled, and the seventh [or sun] is brightest; the eighth [or moon]
One day while meditating upon the problem of harmony, Pythagoras chanced to pass a brazier's shop where workmen were pounding out a piece of metal...
(5) One day while meditating upon the problem of harmony, Pythagoras chanced to pass a brazier's shop where workmen were pounding out a piece of metal upon an anvil. By noting the variances in pitch between the sounds made by large hammers and those made by smaller implements, and carefully estimating the harmonies and discords resulting from combinations of these sounds, he gained his first clue to the musical intervals of the diatonic scale. He entered the shop, and after carefully examining the tools and making mental note of their weights, returned to his own house and constructed an arm of wood so that it: extended out from the wall of his room. At regular intervals along this arm he attached four cords, all of like composition, size, and weight. To the first of these he attached a twelve-pound weight, to the second a nine-pound weight, to the third an eight-pound weight, and to the fourth a six-pound weight. These different weights corresponded to the sizes of the braziers' hammers.
Many early instruments had seven Strings, and it is generally conceded that Pythagoras was the one who added the eighth string to the lyre of...
(27) Many early instruments had seven Strings, and it is generally conceded that Pythagoras was the one who added the eighth string to the lyre of Terpander. The seven strings were always related both to their correspondences in the human body and to the planets. The names of God were also conceived to be formed from combinations of the seven planetary harmonies. The Egyptians confined their sacred songs to the seven primary sounds, forbidding any others to be uttered in their temples. One of their hymns contained the following invocation: "The seven sounding tones praise Thee, the Great God, the ceaseless working Father of the whole universe." In another the Deity describes Himself thus: "I am the great indestructible lyre of the whole world, attuning the songs of the heavens. (See Nauman's History of Music.)
Though not visible, that bond exists in concealment; 'Tis more stringent than prison or chains of iron, For the mason can pull down prison walls, And...
(45) Though not visible, that bond exists in concealment; 'Tis more stringent than prison or chains of iron, For the mason can pull down prison walls, And blacksmiths can break asunder iron chains; But, strange to say, this ponderous hidden bond, Blacksmiths are impotent to break this asunder! Ahmad alone could see that bond on Omm Jahil's back, And the rope of palm fiber bound upon her neck; Yea, he saw wood on the back of the wife of Bu Lahab, And she, the bearer of the firewood, said it was heavy.
In constructing their temples of initiation, the early priests frequently demonstrated their superior knowledge of the principles underlying the...
(30) In constructing their temples of initiation, the early priests frequently demonstrated their superior knowledge of the principles underlying the phenomena known as vibration. A considerable part of the Mystery rituals consisted of invocations and intonements, for which purpose special sound chambers were constructed. A word whispered in one of these apartments was so intensified that the reverberations made the entire building sway and be filled with a deafening roar. The very wood and stone used in the erection of these sacred buildings eventually became so thoroughly permeated with the sound vibrations of the religious ceremonies that when struck they would reproduce the same tones thus repeatedly impressed into their substances by the rituals.
And they dug out a pit in the earth, and iron was obtained by them and beaten out with a stone, and without a forge they beat out a cutting edge from ...
(16) And they dug out a pit in the earth, and iron was obtained by them and beaten out with a stone, and without a forge they beat out a cutting edge from it; and they cut wood with it, and prepared a wooden shelter from the sun (pês-khûr).
The rods signify the kingly and directing faculty, making all things straight. The spears and the battle-axes denote the dividing of things unlike,...
(5) The rods signify the kingly and directing faculty, making all things straight. The spears and the battle-axes denote the dividing of things unlike, and the sharp and energetic and drastic operation of the discriminating powers. The geometrical and technical articles denote the founding, and building, and completing, and whatever else belongs to the elevating and guiding forethought for the subordinate Orders. But sometimes the implements assigned to the holy Angels are the symbols of God's judgments to ourselves; some, representing His correcting instruction or avenging righteousness, others, freedom from peril, or end of education, or resumption of former well-being, or addition of other gifts, small or great, sensible or intelligible. Nor would a discriminating mind, in any case whatever, have any difficulty in properly adapting things visible to things invisible.
The instrument in the hand of the deceased. Though the determinative is , it does not necessarily mean that it is made of wood; it may be the...
(35) The instrument in the hand of the deceased. Though the determinative is , it does not necessarily mean that it is made of wood; it may be the determinative of weapons in general. It has prongs, which are compared to nails or claws, so that it probably is a weapon like the bident for spearing fishes, the tines of which are held together by a string (Wilkinson, Manners and Customs , 2nd edition, Vol. II, p. 107). Otherwise it is not unlike a netting needle (Wilkinson, loc. cit. , p. 175). If it is a weapon, one does not very well understand why it is said to belong to the net
Because of them you made the eternal be, you made divinity live, you made knowledge good, in blessedness you made the shadows flowing from the One.
(13) Because of them you made the eternal be, you made divinity live, you made knowledge good, in blessedness you made the shadows flowing from the One.
Most curious of the oracles of Dodona were the "talking" vases, or kettles. These were made of brass and so carefully fashioned that when struck they...
(46) Most curious of the oracles of Dodona were the "talking" vases, or kettles. These were made of brass and so carefully fashioned that when struck they gave off sound for hours. Some writers have described a row of these vases and have declared that if one of them was struck its vibrations would be communicated to all the others and a terrifying din ensue. Other authors describe a large single vase, standing upon a pillar, near which stood another column, supporting the statue of a child holding a whip. At the end of the whip were a number of swinging cords tipped with small metal balls, and the wind, which blew incessantly through the open building, caused the balls to strike against the vase. The number and intensity of the impacts and the reverberations of the vase were all carefully noted, and the priests delivered their oracles accordingly.
'And as, my dear, by one pair of nail-scissors all that is made of iron (kârshnâyasam) is known, the difference being only a name, arising from...
(6) 'And as, my dear, by one pair of nail-scissors all that is made of iron (kârshnâyasam) is known, the difference being only a name, arising from speech, but the truth being that all is iron,--thus, my dear, is that instruction.'
The vignette of 153 A , in the papyrus III, 93, of the Louvre ( Pb ), shows a clap-net drawn by four men. Behind it comes the deceased, holding in...
(29) The vignette of 153 A , in the papyrus III, 93, of the Louvre ( Pb ), shows a clap-net drawn by four men. Behind it comes the deceased, holding in his hand two instruments mentioned in the text: the and the , called or each of them consists of different parts having a distinct name
Since, however, we are narrating the wisdom employed by Pythagoras in instructing his disciples, it will not be unappropriate to relate that which is...
(1) Since, however, we are narrating the wisdom employed by Pythagoras in instructing his disciples, it will not be unappropriate to relate that which is proximate in a following order to this, viz. how he invented the harmonic science, and harmonic ratios. But for this purpose we must begin a little higher. Intently considering once, and reasoning with himself, whether it would be possible to devise a certain instrumental assistance to the hearing, which should be firm and unerring, such as the sight obtains through the compass and the rule, or, by Jupiter, through a dioptric instrument; or such as the touch obtains through the balance, or the contrivance of measures;—thus considering, as he was walking near a brazier’s shop, he heard from a certain divine casualty the hammers beating out a piece of iron on an anvil, and producing sounds that accorded with each other, one combination only excepted.
But he recognized in those sounds, the diapason, the diapente, and the diatessaron, harmony. He saw, however, that the sound which was between the diatessaron and the diapente was itself by itself dissonant, yet, nevertheless, gave completion to that which was the greater sound among them. Being delighted, therefore, to find that the thing which he was anxious to discover had succeeded to his wishes by divine assistance, he went into the brazier’s shop, and found by various experiments, that the difference of sound arose from the magnitude of the hammers, but not from the force of the strokes, nor from the figure of the hammers, nor from the transposition of the iron which was beaten. When, therefore, he had accurately examined the weights and the equal counterpoise of the hammers, he returned home, and fixed one stake diagonally to the walls, lest if there were many, a certain difference should arise from this circumstance, or in short, lest the peculiar nature of each of the stakes should cause a suspicion of mutation.
Afterwards, from this stake he suspended four chords consisting of the same materials, and of the same magnitude and thickness, and likewise equally twisted. To the extremity of each chord also he tied a weight. And when he had so contrived, that the chords were perfectly equal to each other in length, he afterwards alternately struck two chords at once, and found the before-mentioned symphonies, viz. a different symphony in a different combination. For he discovered that the chord which was stretched by the greatest weight, produced, when compared with that which was stretched by the smallest, the symphony diapason. But the former of these weights was twelve pounds, and the latter six. And, therefore, being in a duple ratio, it exhibited the consonance diapason; which the weights themselves rendered apparent.
But again, he found that the chord from which the greatest weight was suspended compared with that from which the weight next to the smallest depended, and which weight was eight pounds, produced the symphony diapente. Hence he discovered that this symphony is in a sesquialter ratio, in which ratio also the weights were to each other. And he found that the chord which was stretched by the greatest weight, produced, when compared with that which was next to it in weight, and was nine pounds, the symphony diatessaron, analogously to the weights. This ratio, therefore, he discovered to be sesquitertian; but that of the chord from which a weight of nine pounds was suspended, to the chord which had the smallest weight [or six pounds,] to be sesquialter.
For 9 is to 6 in a sesquialter ratio. In like manner, the chord next to that from which the smallest weight depended, was to that which had the smallest weight, in a sesquitertian ratio, [for it was the ratio of 8 to 6,] but to the chord which had the greatest weight, in a sesquialter ratio [for such is the ratio of 12 to 8.] Hence, that which is between the diapente and the diatessaron, and by which the diapente exceeds the diatessaron, is proved to be in an epogdoan ratio, or that of 9 to 8. But either way it may be proved that the diapason is a system consisting of the diapente in conjunction with the diatessaron, just as the duple ratio consists of the sesquialter and sesquitertian, as for instance, 12, 8, and 6; or conversely, of the diatessaron and the diapente, as in the duple ratio of the sesquitertian and sesquialter ratios, as for instance 12, 9, and 6.
After this manner, therefore, and in this order, having conformed both his hand and his hearing to the suspended weights, and having established according to them the ratio of the habitudes, he transferred by an easy artifice the common suspension of the chords from the diagonal stake to the limen of the instrument, which he called chordotonon . But he produced by the aid of pegs a tension of the chords analogous to that effected by the weights.