Re: Responses on ON THE SPECIAL THEORY OF ORDER

Rick Tagawa writes, "Dear Bill, Please don't take this discussion off
list. I bought Dewey's book on Cycles back in the 60s and it became
my bible. I loved looking through his lists of identical recurring
events like floods and famines. What could be more pertinent to
life. A theory that says you might be able to predict the future?
...I find topics like cycles and vibrations fascinating. Especially
as a former percussionist. Just because a cycle slows out of the
tonal range doesn't make it less relevant to music. And by analogy
something slowed down so that it is completely out of the audible
range still retains, for me, musical interest. In fact, just the
before your message was posted, I was trying to explain my music in
terms of astronomy and your email just came along to prove my point.
I loved it! Thanks for your expertise, Rick"

Ok, I will try. One member and I are into this off-list already,
and in essence I offered this to him and will offer this to the
Tuning List.

Looking at part of my data below, what stands out for a musician,
looking at the proportions of the system? Are they octaves?
Are they whole notes? Although I recognize the system is round,
and I am guessing that musical scales are linear, what does a
musician note when certain planets (notes) defy the doubling or
halving sequence which seems octaval and caused Pythagoras and Kepler
and other astronomers to relate the then perceived system to music?
Since then we have more data, because back then they only observed up
to Uranus.

If it is not TOO off-topic, why not chime in [pun intended] and talk
about what you see in the data. I see it more mathematically as a
doubling sequence, out and in, in and out. Do musical scales work
that way? I have played around with a piano and do note that the
octaves are set distances away from each other. Is musical notation
man created, or is the system of notes IN the universe system as the
planets seem to be? Am I making myself understood to musicians?

A neat question might be: who TUNED the solar-planetary system? And,
is it TUNED? Are there dissonant notes in the scale? Is it a scale?
Or what do you call it, looking at the numbers? If it is out of
TUNE, what would make it in TUNE? Off-list, we did discuss the shift
in numbers from EVEN to ODD at various places. What are list members
thoughts?

I published Arnold's Law in 1979, as follows:

Bodies_Proportion___Degreed Arcs___Fraction___Ideal Mean**
Or Perimeter

Sun__________0___________0________0____________0
Mercury______1___________3_____1/120______3.14 X10(7th)miles
Venus________2___________6______1/60______6.28
Earth________3___________9______1/40______9.42
Mars_________4__________12______1/30_____12.56
Ceres*_______8__________24______1/15_____25.13
Jupiter_____15__________45______1/8______47.12
Saturn______30__________90______1/4______94.24
Uranus______60_________180______1/2_____188.49
Neptune_____90_________270______3/4_____282.74
Pluto______120_________360______4/4_____376.99

*Ceres: prime representative of so-called "asteroids"

**means: adjusted for diameters of both bodies, sun and planet

The sun is at 0, where it belongs in a sun-centered system. And all
the other bodies are suspended in space at naturally represented
numbers: 0, 1, 2, 3, 4, 8, 15, 30, 60, 90, and 120. Because
astronomy measures the solar-planetary system by using the third
planet from the sun, Earth, as its unit, the so-called astronomical
unit has kept astronomy in the dark as to the ideal proportions of
our solar-planetary system. The sun must be set to O in the
mathematical sequence, inasmuch as the laws of math require it:
"The number 0 is not a successor: every natural number other than o
has exactly one immediate predecessor; this means that the sequence
of natural numbers has a beginning in its first member 0"
[Encyclopedia of Mathematics, Gallert, Kustner, Hellwich, Kastner,
et al, 20].

Bill Arnold

Bill Arnold
billarnoldfla@yahoo.com
Independent Scholar
Independent Scholar, Modern Language Association
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--- In tuning@y..., Bill Arnold <billarnoldfla@y...> wrote:
>
> Ok, I will try. One member and I are into this off-list already,
> and in essence I offered this to him and will offer this to the
> Tuning List.
>
> Looking at part of my data below, what stands out for a musician,
> looking at the proportions of the system? Are they octaves?
> Are they whole notes? Although I recognize the system is round,
> and I am guessing that musical scales are linear, what does a
> musician note when certain planets (notes) defy the doubling or
> halving sequence which seems octaval and caused Pythagoras and
Kepler
> and other astronomers to relate the then perceived system to music?
> Since then we have more data, because back then they only observed
up
> to Uranus.
>
> If it is not TOO off-topic, why not chime in [pun intended] and talk
> about what you see in the data. I see it more mathematically as a
> doubling sequence, out and in, in and out. Do musical scales work
> that way? I have played around with a piano and do note that the
> octaves are set distances away from each other. Is musical notation
> man created, or is the system of notes IN the universe system as the
> planets seem to be? Am I making myself understood to musicians?
>
> A neat question might be: who TUNED the solar-planetary system?
And,
> is it TUNED? Are there dissonant notes in the scale? Is it a
scale?
> Or what do you call it, looking at the numbers? If it is out of
> TUNE, what would make it in TUNE? Off-list, we did discuss the
shift
> in numbers from EVEN to ODD at various places. What are list
members
> thoughts?

hi bill,

there is a list which is specifically concerned with the very
questions you raise here. here it is:

/celestial-tuning/