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Re: COGS & CHAIN-LINKS: Space-Time-Speed Distance Continuum Formula & C Scale Music of Spheres II

🔗Bill Arnold <billarnoldfla@yahoo.com>

10/13/2002 5:08:23 PM

Charles Lucy writes,
To: "tuninggroup" <tuning@yahoogroups.com>
From: "Charles Lucy" <lucy@harmonics.com>
Date: Sat, 12 Oct 2002 22:16:37 +0100
Subject: [tuning] Thoughts about bike chains and ancient Greek cogs.

>***Monz... if I remember correctly, my own humble self was the
>individual to come up with the "bike chain" metaphor.... not that it
>really matters!

>Joe Pehrson

Bike chains are connected to cogs at back and front; hence always
integer ratios, between the rates of rotation of the crank and the rear
wheel.

I understand that the ancient Greeks had used interlocking cog
mechanisms, as is supported by recent archeological discoveries.

Could these apparently unrelated facts have influenced conceptual
thinking about tuning?

Charles Lucy
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==================================================================

It certainly seems to have influced Pythagoras. And, yes, they have
found cog mechanisms from that time in time [pun intended :)] pieces,
and astrolabes. It makes sense to me, inasmuch as there seems to be
a cog-chain link relationship, that is to say, proportional, between the
solar sphere itself and the planets as the formula I gave all would
suggest, based on the distance data observed.

By the way, is not the F Scale the purest sweet note to fit inside
the C Scaled solar-planetary system in the question asked? That is
to say, [see below] it is the right "chain-link" in the chain of notes?

A brief followup:

Here are the cross-posted lists, for those who wish to
read all the follow ups to this thread, by others:

To: tuning@yahoogroups.com, piclub@yahoogroups.com, celestial-tuning@yahoogroups.com,
tuning-math@yahoogroups.com, cyclesi@yahoogroups.com, physicsdebate@yahoogroups.com,
astrophysics2@yahoogroups.com, agrandunifiedtheory@yahoogroups.com,
cosmologyandastrophysics@yahoogroups.com, worldwideastronomers@yahoogroups.com
From: "Bill Arnold" <billarnoldfla@yahoo.com>
Date: Fri, 11 Oct 2002 17:57:55 -0700 (PDT)
Subject: [celestial-tuning] Re: Space-Time-Speed Distance Continuum Formula

Also, a few members have emailed me offlist, and will respond with C Scale
notes for Earth * and Neptune * to the cosmic Music of the Spheres question
I posed to all WHY they are NOT represented as "octaval" bodies in the C Scale,
and WHAT the C Scale notes are between

C 2 * C 4.09 <<<<<<<<I, Bill Arnold, now suggest F, as THE note?>>>>

and

C 65.4 * 130.8 <<<<<<<<like wise, an F, here as THE note?>>>>>>>>>>>>>

as noted below:

Arnold's Law in 1979, as follows:
however, note I have added the Harmonic C Note [bodies]

C Notes_____Bodies_Proportion___Degreed Arcs___Fraction___Ideal Mean**
Octaves Or Perimeter
Or Harmonics

0***________Sun__________0___________0________0____________0
1___________Mercury______1___________3_____1/120______3.14 X10(7th)miles
2___________Venus________2___________6______1/60______6.28
?___________Earth________3___________9______1/40______9.42
4.09________Mars_________4__________12______1/30_____12.56
8.18________Ceres*_______8__________24______1/15_____25.13
16.4________Jupiter_____15__________45______1/8______47.12
32.7________Saturn______30__________90______1/4______94.24
65.4________Uranus______60_________180______1/2_____188.49
?___________Neptune_____90_________270______3/4_____282.74
130.8_______Pluto______120_________360______4/4_____376.99

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

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

Bill Arnold

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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