Modulations are fortunate by reason of the quantity of passional bonds they produce; here is the comparative ratio in numbers:
in simple according to 10 and its square 100 = 7
in composite according to 12 and its square 144 = 13
in neutral according to 10 and 2 and their multiple 120 = 14
as 120 is the number that has the most divisors and gives the most combinations in the smallest sum of units, the hyper-neutral modulation is the highest and most fortunate of nature. The hyper-neutral intrigue is therefore the supreme happiness and the principal spring of enthusiasm. The intrigue of simple order is the least binding and the least happy for the same reason. This is here a definition of processes so impracticable on civilized passions that it is fitting to pass over it without any explanation in this chapter; I repeat, having as its aim to give a glimpse that I will strip away all the thorns of the theory and that I will reserve only the strictly necessary.
10th THE HEARTH is the central period or apogee of a career, the state where the social or individual body has acquired possible perfection and can only decline. A body, a nation maintains itself for some time in this state without notable alteration in growth or decline. It will be the same for the human race which will have its amphiharmonic age hearth period where the globe will have furnished all its ascending vibration creations as well as the two amphiharmonic creations not comprised in the 24 because one does not count the pivots in harmony, and when one says the Tourbillon has 32 stars one does not count the sun or pivot which is the 33rd. If one says an orchestra has 32 musicians it is understood that one does not include the pivot or orchestra master.
I have promised to employ an expeditive method; I shall seek only to initiate the reader by the quickest routes, then to rectify the acquired notions afterward.
Let us conclude with an important remark on the scale of modulations. It has been seen in the article on phases that the childhood of a globe or of the human race collectively taken is not proportional in duration to that of the individual man except if the individual over a career of 90 years furnishes 15 years of childhood or age prior to puberty,