Re: Music of The Spheres and Bill Arnold's Numbers

Charles Lucy wrote:
"From: Charles Lucy <lucy@harmonics.com>
Message 40207
/tuning/topicId_40207.html#40207
Date: Sat Oct 26, 2002 10:45 pm
Subject: Music of The Spheres and Bill Arnold's numbers

I have read the papers that Bill Arnold sent me.
My initial reaction is that the 0,3,6,9,12,24,48.96,192, 288, 384
sequence is similar to the traditional harmonics series.
In the following respective musical pattern related to frequency (e.g.
in Hz.):
(using integer ratio "old" traditional logic that harmonics don't beat
i.e. Pythagorean)

3 = first Octave (3*1) e.g. C1
6 = second octave (3*2) e.g. C2
9 = second octave + fifth (3*3) or (6*(3/2)) e.g. G2
12 = third octave (3*(2^2)) e.g. C3
24 = fourth octave (3*8) e.g.C4
48 = fifth octave (3*16) e.g. C5
96 = sixth octave (3*32) e.g. C6
192 = seventh octave (3*64) e.g. C7
288 = seventh octave + fifth (3*76) or 192*(3/2)) e.g. G7
384 = eighth octave (3*132) e.g. C8

This is simplistic, yet could suggest an octaving sequence.

Charles Lucy - lucy@harmonics.com (LucyScaleDevelopments)
------------ Promoting global harmony through LucyTuning -------
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I, Bill Arnold would add, here, that in my paper published in Cycles Bulletin,
Vol. XXX, No. 4, 1979, I pointed out that any "cycle" is a IDEAL linear phenomenon
created by a mathematician based upon a REAL observed phenomenon of an oscillating
nature which inherently is "circular," hence the mathematical expression thereof
contains the value of pi [3.14etc]. I have added the Calculated Means** and
Charles Lucy's Harmonic Sequence: /tuning/topicId_40207.html#40207

I published Arnold's Law in "Bode's law Explained," 1979, as follows:
however, note I have added the Harmonic C Note [bodies], the Calculated Means** and
Charles Lucy's Harmonic Sequence: /tuning/topicId_40207.html#40207

C Notes_Bodies_Proportion_Degreed Arcs_Fraction_Ideal Mean**_Calculated_Lucy***
Octaves Or Perimeter Means** Harmonics
Or Harmonics

0***_____Sun_________0_______0________0____________0___________0________________O
1________Mercury_____1_______3_____1/120______3.14 X10^7miles__3.64X10^7miles___3
2________Venus_______2_______6______1/60______6.28_____________6.77_____________6
?________Earth_______3_______9______1/40______9.42_____________9.34_____________9
4.09_____Mars________4______12______1/30_____12.56____________14.21____________12
8.18_____Ceres*______8______24______1/15_____25.13____________25.13____________24
16.4_____Jupiter____15______45______1/8______47.12____________48.43____________48
32.7_____Saturn_____30______90______1/4______94.24____________88.85____________96
65.4_____Uranus_____60_____180______1/2_____188.49___________178.00___________192
?________Neptune____90_____270______3/4_____282.74___________279.15___________288
130.8____Pluto_____120_____360______4/4_____376.99___________365.43___________384

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

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

***in my "Bode's law Explained" paper I also offered the Calculated Ranges
for the bodies noted in the chart, and explained the variations from the
ideal mean data in accordance to known laws of physics, which would include
the Lucy Harmonic Sequence, the ideal "traditional Pythagorean" noted above
by Charles Lucy.

Thanks in advance,
meant kindly,

Bill Arnold
billarnoldfla@yahoo.com
http://www.cwru.edu/affil/edis/scholars/arnold.htm
Independent Scholar
Independent Scholar, Modern Language Association
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