geometric progression

In the diagrams the circles are not drawn as interlacing into each other, from the difficulty of representing them accurately as rising spirally in geometric progression. If we endeavour to realise the development of harmonies, both in geometric order, and at the same time advancing and retiring, as in musical clef, we must imagine a musician having the physical power of striking all the notes on a circular keyed instrument of seven octaves, linked to a lower series of seven octaves, and a corresponding series of seven higher. But in fact the depth of the lower series, and the height of the higher, are alike unfathomable to our present powers. C, the first note of the seven octaves, sounds the four lowest tones, F, G, A, B of the lower series; and B, the last and highest note of the seven octaves, sounds in its harmony Câ™® and D# of the higher series of sevens. [Harmonies of Tones and Colours, The Method of Development or Creation of Harmonies3, page 17]

the present, and the future, developing in geometric progression; as the past retires, the future advances. The rests in harmony correspond with silence in the Scriptures, both limiting and illimitable. But there is this essential difference: musical instruments can only be tuned to a certain pitch, whereas the Bible will never need fresh editions or corrections, but as it always has unfolded, it always will unfold, as it is necessary to meet our higher mental powers. I believe that, eventually, scientific minds will arrive at the conclusion that all the energies around us arise from the laws which regulate the life of matter, and cause the continual development of trinities from unities. Continuity everywhere adapts simple laws to wondrous workings. If we evade the belief in the development of trinities, this scheme falls to the ground. We can conceive no grander idea of the power, wisdom, and love of the Parent of the universe than that of His following out His own characteristics, knowing that at any moment, if His life-giving power were withdrawn, all would crumble into dust. Let us link with this thought these glorious promises— [Harmonies of Tones and Colours, Scripture Compared with Scripture, page 47]

See Also

arithmetic progression
arithmetical progression
Geometrical Progression

Created by Dale Pond. Last Modification: Sunday April 4, 2021 03:22:27 MDT by Dale Pond.