Having found that the afternoon Hours are each equal to fifty minutes in duration, we have to add this amount successively to noon to get the beginnings of the 7th, 8th, 9th, 10th, 11th and 12th Hours. These may be set out in a single line— 7th 8th 9th 10th 11th 12th 12.0 12.50 1.40 2.30 3.20 4.10 And if to these beginnings of Hours we add successively seven minutes, being one-seventh of the Hour of fifty minutes, we shall have the times at which the various sub-periods begin. But it is also necessary to affix the signature of the Planet ruling the Hours and Periods, and for this purpose we may note that the 8th Hour is _always_ ruled by the planet that gives the day its name, as Mercury on a Wednesday, etc. The 18th October, 1911, was a Wednesday. Also note that the first Period of each Hour is ruled by the planet that gives its name to the Hour, the rest following in the usual Chaldean order. The table when fully set out will therefore present the following appearance:— [Illustration: Figure 24. Wednesday 18th October, 1911. Afternoon. Planetary Hours.] The reader will observe that in the periodic succession the 8th planet syncopates, and the next Hour commences with the succeeding planet. This is not so exceptional as at first it may appear, for we have analogies throughout nature of the syncopation of the octave. If you take a wire and stretch it across a bridge, as is done in the construction of a stringed musical instrument, you will find that it answers to a certain note when vibrated. At first sight you may be disposed to think that the vibration extends over the whole length of the wire. This, however, is not the case, for on closer observation you will find that at certain points along its length the wire is quite stationary, while the rest of it is vibrating. By placing the finger upon these neutral points or nodes and again vibrating the wire, you will find that they are the octaves of the open note produced by the wire when in free vibration. The following sketch shows the principle of these neutral points or nodes. They correspond to the 8th planet in the series. [Illustration: Figure 25.] The vibration being the cause of what we sense as sound, non-vibration must correspond with silence, and so we know that the sound falls into silence and re-emerges again in the higher octave of vibration. This fact has an interesting application, which I cannot develop in this place, but which the student will take due note of. Having now got our Planetary Hours into array, we are at once able to prove one or two of the occult axioms, the first being that composites of sound are reducible to numbers, and the second is that these numbers when reduced to their unit values correspond to one or other of the planets.