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Posted by Dale Lake on April 7, 2000 19:53:05 UTC

Harmonic Binary Set, Doubling, Octave Law:
(0,1,2,4,8,16,32,64,128,256...)

In the following equation, let H be for harmonic, whether its the binary set {0,1,2,4,8...} or the sequence set {1,2,3,4,5...) or the chord set {1,3,5,7,9) or the dance set (1,2,3,4} or the chord of life set (4,5,6,7). Normallly for Harmonic Binary set I would use subscript B, but I don`t know how to subscript in this forum, so Hb will mean Harmonic binary set.

A.U. will be Astronomical Unit, the distance from the earth to the sun.

r will be the average radius, of whatever planet we are talking about, from the sun.

r = (.3Hb + .4)A.U.

I modified the historical Titius-Bode "law" to aquire
the .3 and .4 numbers.

.4 A.U is the formula`s prediction of Mercury`s orbit and is a function of the sun`s mass
thus could probably be adapted to the central masses
of other solar systems.

The .3 in .3Hb A.U. exists only because we chose
the distance of our own planet to the sun
as our standard solar system measuring stick.
If we had instead chosen .3 A.U.
(a distance about 28 million miles from the sun)
as our measuring stick, using A.U.M. for our modified A.U., our new equation would be:

r = (Hb + 4/3)A.U.M.

Hb at 0 is Mercury
at 1 is Venus
2 is Earth
4 is Mars
8 is Ceres, the largest asteroid in the belt
16 is Jupiter
32 is Saturn
64 is Uranus
96 is Neptune
128 is Pluto

Notice: Uranus, Neptune, Pluto are related
to one another as (2,3,4) and thus they break
the Hb pattern (1,2,4}. This pattern break down
draws in the next number after 1 in the Harmonic Chord
set (1,3,5,7...}, revealing
"sub-orbital degeneracy"
...(a term I coined from quantum physics`
"sub-shell degeneracy",
represented also by double the Harmonic Chord set:
2Hc = (2,6,10,14)
in order to show the common denominator of quantum physics and of relativity physics.)

So there`s gravity folks.

More later...























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