The number of these steps in all the systems has been odd. Vitruvius remarks--and the coincidence is at least curious--that the ancient temples were always ascended by an odd number of steps; and he assigns as the reason, that, commencing with the right foot at the bottom, the worshipper would find the same foot foremost when he entered the temple, which was considered as a fortunate omen. But the fact is, that the symbolism of numbers was borrowed by the Masons from Pythagoras, in whose system of philosophy it plays an important part, and in which odd numbers were considered as more perfect than even ones. Hence, throughout the masonic system we find a predominance of odd numbers; and while three, five, seven, nine, fifteen, and twenty-seven, are all-important symbols, we seldom find a reference to two, four, six, eight, or ten. The odd number of the stairs was therefore intended to symbolize the idea of perfection, to which it was the object of the aspirant to attain. As to the particular number of the stairs, this has varied at different periods. Tracing-boards of the last century have been found, in which only _five_ steps are delineated, and others in which they amount to _seven_. The Prestonian lectures, used in England in the beginning of this century, gave the whole number as thirty-eight, dividing them into series of one, three, five, seven, nine, and eleven. The error of making an even number, which was a violation of the Pythagorean principle of odd numbers as the symbol of perfection, was corrected in the Hemming lectures, adopted at the union of the two Grand Lodges of England, by striking out the eleven, which was also objectionable as receiving a sectarian explanation. In this country the number was still further reduced to _fifteen_, divided into three series of _three, five_, and _seven_. I shall adopt this American division in explaining the symbolism, although, after all, the particular number of the steps, or the peculiar method of their division into series, will not in any way affect the general symbolism of the whole legend.