Re: [cyclesi] Re: The Circle of the Octave

I was unaware of that Bill (boo hoo, and I thought I'd come up
with something original!).

Can you (or anybody) give me approximate message numbers
to save me digging around?

As an aside, I conveniently failed to mention that
the 0 deg, 90 deg, 120 deg, 180 deg, 240 deg, 270 deg
angles and the relative 'beating' of tones have metaphorical
relationships with 'aspects' in astrology (gulp, duck!) and if we
drop all the crap about 'the moon in the seventh house' and
the like then one could view certain modulations of the
cosmo/galactic/solar/planetary field (depending upon what's
where in the sky - eg I have clocks of Pluto, Saturn and Jupiter
versus galactic centre - indeed you can draw these atop the
'musical' clock with 0 deg as GC conjunct, 90 opposition etc).

Interesting to note the position of Saturn wrt stock market
crashes and conflict, the epochal effect of Pluto and the
Jupiterian year...

[What happens when multiple rotating 'electro magnetic' fields - large ones
and small ones - interact? ]

All this ties in with William Gann's square of nine and resistance
(to change in direction) points of course: indeed when one plots out the
musical scale on a tone/time grid (assigning time periods proportionate to
tones) one gets a very interesting set of nodes/lines.

Any musicians in the group might try experimenting with using
the time ratios (and harmonics thereof) proportionate to note pitches
in composition AND setting the relative rhythmic beats to suboctaves
of the tones: 'good' singers/instrumentalists have the knack of doing
this subconsciously.

Wrt your 'earthspots' in a related post YES YES YES!
Look for them (synchronistic periodic disturbances) in all other manner of
organised forms and processes (a 'process' is a fast moving 'object',
an 'object' a slow moving 'process') - from the mightiest of the mighty
to the smallest of the small. Cosmos/galaxy/solar/planetary/human/
animal/vegetable/insect/reptile/fish/mineral/crystal/molecule/atom/subatom
and beyond: all is one and one is all.
Are you following this, Anna? The 'disturbances', as Ray has pointed out,
affect the entirity of creation (indeed are the ebb and flow of creation),
but
it is only our fixated conditioned responses - principally linguistically
based
in humans since fixated, electrochemical, (and largely unnecessary)
languaged
'noise' exists as the primary focus/prism of our consciousness - that cause
us to
'behave' in certain ways. Drop the noise/chatter [ie ATTEND to the
sensations
as they come and go and the difference-iation that we experience as
consciousness subsides, de-solves, into the w{holeness}. Don't
let the 'human spots' get you down, just be aware of them. When you can
'calibrate' them, yoiu will develop something we presently call intuition -
the
feeling principle, presently dormant/buried under habitual noise (itself
cyclic and
hence possessing cyclic momentum), that is the parallel operation of the
sensory
system].

As above, so below, or in the words of the poet:

For in and out, above, about, below,
'Tis nothing but a Magic Shadow-show,
Play'd in a Box whose Candle is the Sun,
Round which we Phantom Figures come and go.

PS Sorry to waffle on so much, but some synthesis
of the various threads arises here spontaneously.

----- Original Message -----
From: "Bill Arnold" <billarnoldfla@yahoo.com>
To: <cyclesi@yahoogroups.com>
Sent: Saturday, August 14, 2004 4:41 AM
Subject: [cyclesi] Re: The Circle of the Octave

> "Robert Byron Duncan" <zeusrdx@y...> wrote:
> > This IS interesting
> >
> > z
> >
>
> OK: this has been discussed at length on tuning
> at tuning@yahoogroups.com
>
> Bill
> Author of Arnold's law
>
>
>
> > --- In cyclesi@yahoogroups.com, "Dan Scorpio" <Dan.Scorpio@b...>
> > wrote:
> > > Draw a circle.
> > > Mark twelve o'clock 1
> > > Three 1.25
> > > Six 1.5
> > > Nine 1.75
> > > Twelve 2
> > >
> > > Plot the sine wave with 0 deg at 1 (=home).
> > >
> > > At 1.25, a particle sitting on the imaginary rotating circle
> > > is at the maximum positive distance away from home and
> > > is changing direct from + to - wrt home.
> > >
> > > At 1.5, particle is max possible distance from home and max (-)
> > > y coord and beginning the journey back.
> > >
> > > At 1.75, particle is max -ve x away from home & moving back to
> > > 0,0.
> > >
> > > The points 1, 1.25, 1.5, 1.75 and 2 represent the tones
> > > root, third, fifth, minor seventh and octave in the justly
> intoned
> > > musical scale.
> > > The second is at 45 degress (9/8), fourth at 120 degrees (4/3),
> > > sixth at 240 degrees (5/3) and seventh at 315 degrees (15/8).
> > >
> > > Likewise, any harmonic (relative to the root) may be plotted as
> > > an angle on the circle. Even more, one may choose any point
> > > on the circle of the octave (which means ANY frequency which
> > > has been octaved down by 2^n to lie between 1.0 and 2.0 [= 0
> > > to 360 deg] and, by examining its relative angular position to
> other
> > > frequencies, establish the harmonics.
> > >
> > > The harmonics are related to each other by certain discrete
> > > angles/geometrical configurations: eg:
> > > relative 4th Chord = equilateral triangle
> > > root, 3rd and 5th chords = isoceles triangles
> > > 2nd, 6th and 7th by irregular triangles
> > >
> > > On one simple circle, one can observe the general harmonic
> > > relationships between frequencies of whatever magnitude.
> > >
> > > A question I am exploring (very slowly - I have hundreds of
> reduced
> > > frequencies and more to come) is: 'If one chooses a given period
> as
> > > an octave, do there exist salient harmonic points within that
> > octave
> > > (eg 3rd, 5th, minor 7th) that give rise to sub-octave detectable
> > effects?'
> > > The 'square', conjunction and opposition immediately come to mind
> > > on both micro and macro levels.
> > >
> > > Furthermore if one has several 'magnetic tones' playing at
> various
> > > frequencies, (which in themselves are sunject to internal
> > modulation)
> > > when do those tones interact and beat - and what are the tangible
> > effects
> > > (and how do we adjust our conditioned perceptions to notice them?)
>
>
>
>
>
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