diatonic scale and phi

[Brian V. Cox]

howdy all...

just a quick question. i just read david's summary of
the "auric time scale and the mayan factor" paper.
i read the actual paper when david first posted about
it, and got the gist of it, but david's summary was
alot easier to grasp.

david says:

"...the phi ratio, which has a value of 1.6180339. this
ratio can be easily seen in the relationships between
common 'diatonic' musical frequencies as well as..."


my question is...where exactly is the phi ratio easily
seen in the diatonic scale?

the only things close to it are the perfect 5th (3/2 or 1.5),
the minor6th (~1.5892) and major6th (~1.7838) (this
is assuming equal temperament, with the octave being
a factor of 2, and each half-step in the chromatic
scale being the ratio 2*(1/12) (twelve root of 2)

there are many people investigating music temperaments
derived from phi-based octaves, but i was under the
impression that the standard diatonic scale had no
such recursion built into it. the circle of
5ths even leads to the "pythagorean comma" effect
that leaves the only nesting in the octave itself.

i'm really curious about the relationship between music
and light and everything else, so this kinda jumped out
at me. i've been studying beethoven and bartok and their
use of fractal circular melodies, but i've never heard of
there being phi relationships in standard diatonic scales.

thanks, brian

ps anyone interested in composing fractal and/or circular
music should check out "self-similar melodies" by tom
johnson, 1998. very interesting read, but you need
a decent music theory background to follow it probably.
alot of it is definitely over my head, but i've gotten
alot out of it anyway.


--------------
** in lak'ech, brian cox - brian@... (/group/asc2k/post?postid=_qqphmayuspwwq5nlpz8di8i9j4kgd9o8crdpi fnrca6lauid77trhvtw5bzixzddqzhi2g98s9aea)
** magpu: electric-progressive-trance-improv-fusion: http://www.magpu.com
** "there is geometry in the humming of the strings;
** there is music in the spacing of the (planetary) spheres" -pythagoras
--------------

[David Wilcock]

from: brian v. cox [mailto:lerxst@... (/group/asc2k/post?postid=wieemeltjghg5su5iqssnjep0an90qenrpxrkc shydsbisjglc361jpvduiav5kr3f5bhywlnoou)]

my question is...where exactly is the phi ratio easily
seen in the diatonic scale?

dw: two words: dale pond. www.svpvril.com

peace be with you -

- david

[Rod Johnson]

david,

i explored dale pond's site. he is really attached to cubes and sees the
tetrahedron
as a subset of the cube. when one is caught up in the perspective of looking
from the macro into the micro the finite seem like a subset of the infinite.
if one wants to get to the heart of reality they must look out from the
virtual
world of unreality. then everything becomes an explication of the finite.

rod
from: brian v. cox [mailto:lerxst@... (/group/asc2k/post?postid=oomu7qno7yizq1_j-0ou-oilm5jh6dnnqpmfedwtjpv9gjsv6dnwpxvca4vbnlhs7ur5yhs _n3wtd-s)]

my question is...where exactly is the phi ratio easily
seen in the diatonic scale?

dw: two words: dale pond. www.svpvril.com

peace be with you -

- david


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[David Wilcock]

from: rod johnson [mailto:rodj@... (/group/asc2k/post?postid=pe-bcszvtx9_mnwuy7wdfxsftruswsvlvxxw7wuhk1aoxrlub6n4v xoffpyvyoe3ekivpg)]

david,

i explored dale pond's site. he is really attached to cubes and sees the
tetrahedron as a subset of the cube.

dw: i am aware of this - it is one of the core problems with "the universe
as seen by walter russell." the university of science and philosophy
admitted at the conference in 2000 that it was an incomplete model, but
they're not willing to budge on most of his points. i met pond while i was
there and really enjoyed talking with him. i handed a copy of my book to the
director of usp and he actually laughed in my face and says, "everyone gives
me a book." if he'd actually opened the darn thing he'd realize that it was
no ordinary solicitation.

in pond's book "the physics of love" there is a whole section about the
connection between phi and the diatonic scale.

peace be with you -

- david

[amstelland420@...]

<font face="arial,helvetica"><font size="2">it's pi...just pi, not some some sorrority component</font>

[Sunny One]

--- "brian v. cox" <lerxst@... (/group/asc2k/post?postid=9vevfv_sv69ejgwzqttakkjti-beb2le-hfkezk-f7h1zy8lkveifhh2gsfxax_j-srm7r2-c5nr0w)> wrote:
> my question is...where exactly is the phi ratio
> easily
> seen in the diatonic scale?
>
> the only things close to it are the perfect 5th (3/2
> or 1.5),
> the minor6th (~1.5892) and major6th (~1.7838) (this
> is assuming equal temperament, with the octave being
> a factor of 2, and each half-step in the chromatic
> scale being the ratio 2*(1/12) (twelve root of 2)

brian,
i missed the answer to this.
i've imagined that the cochlea
within our inner ear takes on
phi-spiral geometry, and i've
considered that tones of the
octave stimulate "hairs" within
the cochlea in a phi ratio,
resulting in feelings of joy.
i base this consideration on
the studies made known by
dan winter a while back, where
phi frequency spectra was
found in heart monitors during
these joyous moments of "love."
related to this, may be an
acoustic standing waves within
the aorta, stimulated by
special meditative breathing
techniques.
just brainstorming...
pat



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[sol72us]

bc: my question is...where exactly is the phi
ratio easily seen in the diatonic scale?

dw: two words: dale pond. www.svpvril.com

rj: i explored dale pond's site. he is really
attached to cubes and sees the tetrahedron
as a subset of the cube. when one is caught up
in the perspective of looking from the macro
into the micro the finite seem like a subset
of the infinite. if one wants to get to the
heart of reality they must look out from the
virtual world of unreality. then everything
becomes an explication of the finite.

dw: i am aware of this - it is one of the core
problems with "the universe as seen by walter
russell." the university of science and philosophy
admitted at the conference in 2000 that it was an
incomplete model, but they're not willing to budge
on most of his points. i met pond while i was
there and really enjoyed talking with him. i handed
a copy of my book to the director of usp and he
actually laughed in my face and says, "everyone
gives me a book." if he'd actually opened the darn
thing he'd realize that it was no ordinary
solicitation. in pond's book "the physics of love"
there is a whole section about the connection
between phi and the diatonic scale.

brian, did you ever get your answer? this talk of
cubes reminds me of meru's hebrew rubik, and another
thing, this atlin love machine reminds me of what
drunvalo said about external "merkaba." the laws of
sympathetic vibration reminds me of the healing
potentials of vibration and mantras.
gratefully,
pat