The allotments also of the mundane Gods are conformable to the divisions of the universe. But the universe is divided by demiurgic numbers, viz. by the duad, triad, tetrad, pentad, hebdomad, and dodecad. For after the one fabrication of things by the demiurgus, the division of the universe into two parts, heaven and generation (or the sublunary region), gives subsistence to twofold allotments, the celestial and the sublunary. After this, the triad divides the universe, to which Homer alludes when he says that Neptune is allotted the hoary deep, Jupiter, the extended heavens, and Pluto, the subterranean darkness. But after the triple distribution, the tetradic follows, which gives a fourfold arrangement to the elements in the universe, as the Pythagoreans say, viz. the celestial and the ethereal, above the earth and under the earth. The universe also receives a division into five parts. For the world is one and quintuple, and is appropriately divided by celestial, empyreal, aerial, aquatic and terrestrial figures and presiding Gods. After this follows its division into seven parts. For the heptad beginning supernally from the inerratic sphere, pervades through all the elements. And in the last place is the division of the universe by the dodecad, viz. into the sphere of the fixed stars, the spheres of the seven planets, and the spheres of the four elements. Moreover, the allotment of angels and dæmons is co-suspended from the divine allotments, but has a more various distribution. For one divine allotment comprehends in itself many angelic, and a still greater number of dæmoniacal allotments; since every angel rules over many dæmons, and every angelic allotment is surrounded with numerous dæmoniacal allotments. For what a monad is in the Gods, that a tribe is among dæmons. Here, therefore, instead of the triad we must assume three compositions, and instead of the tetrad or dodecad, four or twelve choirs following their respective leaders. And thus we shall always preserve the higher allotments. For as in essences, powers and energies, progressions generate multitude; thus also in allotments, such as are first, have a precedency in power, but are diminished in multitude, as being nearer to the one father of the universe, and the whole and one providence which extends to all things. But secondary allotments, have a diminution of power, but an increase of multitude. And thus much concerning allotments in general.