Re: MUSIC OF THE SPHERES: Wavelength vs. Frequency , Part II

Message 40396
From: "wallyesterpaulrus" <wallyesterpaulrus@y...>
Date: Thu Oct 31, 2002 6:47 am
Subject: Re: MUSIC OF THE SPHERES: Wavelength vs. Frequency

--- In tuning@y..., Bill Arnold <billarnoldfla@y...> wrote:

> According to the HyperPhysics website: the WAVELENGTH of a sound or
> note of 100 Hz is circa 3.45 meters, and a sound or note of 2000 Hz
> is circa 18 cm."

"wallyesterpaulrus" wrote: yup! in some particular air conditions.

> My question is: is the WAVELENGTH which is referred to as 3.45
> meters or 18 cm, is that the DIAMETER or the RADIAN?

"wallyesterpaulrus" wrote: neither! it's the distance from one crest
of the wave to the next crest, or from one trough to the next . . .
waves travel in straight lines . . .

=========================================================================

I accept that WAVELENGTH is from crest to crest, or trough to trough,
and I think you would agree: it can be from node to node, if we are
talking about an AC WAVE in any EMF sitation, or in any similar A/C WAVE
with positive/negative wave characteristics? [See below]

Thus: I ask is WAVELENGTH in music like the following:

Let me define: in the case of the SUNSPOT cycle, traditionally the data
was measured since the time that Galileo first counted them in pulses of
data circa 11.11 Earth years in length. Since some point, researchers
found out that the polarity on the Sun reverses every HALF WAVE,
and therefore the WAVELENGTH is really circa 22.22 Earth years in length.
This is defined as a tradtional EMF [Electro-Magnetic Force] wave [I did
discuss this at length in my ON THE SPECIAL THEORY OF ORDER paper, and
now wish to relate it, specifically, to musicology].

The circa 11.11 Earth year wave was incorrectly viewed as a DC wave,
http://www.windows.ucar.edu/tour/link=/sun/activity/butterfly.html
with all the pulses moving in the same direction, and the circa 22.22 Earth
year wave is AC, and now considered the proper way to view the data. That
is: Direct Current and Alternating Current; the latter AC WAVE considered
proper to describe the SUNSPOT full-wave circa 22.22 Earth year cycle.

In addition, the BUTTERFLY PATTERN shows interesting characteristics,
http://www.windows.ucar.edu/tour/link=/sun/activity/butterfly.html
and aides astrophysicists in SEEING the statistic distribution pattern
of the data more clearly.

In summary, I ask: do musicologists talk of the WAVELENGTH as a DC pulse
type wave, or an AC positive and negative wave? On the Hyper-Physics
website, there is a suggestion that by WAVELENGTH musicologists mean an
AC positive and negative wave, as follows:

Traverse Waves
and
Longitudinal Waves:
http://hyperphysics.phy-astr.gsu.edu/hbase/hframe.html

Am I correct to conclude, then, that when WAVELENGTH is discussed in
musicology it is as you say:

See LONGITUDINAL SOUND WAVES IN AIR:
http://hyperphysics.phy-astr.gsu.edu/hbase/hframe.html

and thereby I note, I hope accurately, that it has an AC characteristic,
the positive ( + ) phase when it exhibits increased pressure and the
negative ( - ) phase when it exhibits decreased pressure in air?

If so: then we should also be agreed that LONGITUDINAL SOUND WAVES IN AIR
http://hyperphysics.phy-astr.gsu.edu/hbase/hframe.html
can be measured in WAVELENGTH from note to node as well, that is, three
ways altogether: from (1) node to node, from (2) crest to crest, and
(3) trough to trough?

Lastly, for now:
Have the physical parameters of the WAVELENGTH of a sound been so
studied, similarly to SUNSPOTS and DIFFRACTION PATTERNS OF ATOMS?
http://www.hcc.hawaii.edu/hcconline/sci122/Programs/p28/p28.html
http://www.molecularuniverse.com/mile/mile1.htm

Sound Waves In Air:
Scroll Down to:
http://hyperphysics.phy-astr.gsu.edu/hbase/hframe.html
and
Butterfly Pattern:
http://www.windows.ucar.edu/tour/link=/sun/activity/butterfly.html

Have they attempted to map a sort of PATTERN for sound
similar to the BUTTERFLY PATTERN or the DIFFRACTION PATTERNS of
Ernest Rutherford's and Niels Bohr's work on atoms?
http://www.molecularuniverse.com/mile/mile1.htm

Recall from above, as described according to the HyperPhysics website:
"the WAVELENGTH of a sound or note of 100 Hz is circa 3.45 meters,
and a sound or note of 2000 Hz is circa 18 cm."

If the SOUND WAVES IN AIR PATTERN were shown for each NOTE,
i.e., 100 Hz at circa 3.45 meters or 2000 Hz at circa 18 cm,
one at a time, all NOTES which musicologists talk about in terms
of frequency but less so in terms of WAVELENGTH, then it appears
each would show a distinctive unique PATTERN which would radiate
out SPHERICALLY from the source and be MAPPABLE?

Has such been done? Is there an URL that is known online?

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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--- In tuning@y..., Bill Arnold <billarnoldfla@y...> wrote:

> I accept that WAVELENGTH is from crest to crest, or trough to
trough,
> and I think you would agree: it can be from node to node, if we are
> talking about an AC WAVE in any EMF sitation, or in any similar A/C
WAVE
> with positive/negative wave characteristics? [See below]
>
> Thus: I ask is WAVELENGTH in music like the following:
>
> Let me define: in the case of the SUNSPOT cycle, traditionally the
data
> was measured since the time that Galileo first counted them in
pulses of
> data circa 11.11 Earth years in length. Since some point,
researchers
> found out that the polarity on the Sun reverses every HALF WAVE,
> and therefore the WAVELENGTH is really circa 22.22 Earth years in
length.

years is a unit of time. wavelength has units of distance. so a
wavelength can't be measured in years!

> Am I correct to conclude, then, that when WAVELENGTH is discussed in
> musicology it is as you say:
>
> See LONGITUDINAL SOUND WAVES IN AIR:
> http://hyperphysics.phy-astr.gsu.edu/hbase/hframe.html
>
> and thereby I note, I hope accurately, that it has an AC
characteristic,
> the positive ( + ) phase when it exhibits increased pressure and the
> negative ( - ) phase when it exhibits decreased pressure in air?

yes.

> If so: then we should also be agreed that LONGITUDINAL SOUND WAVES
IN AIR
> http://hyperphysics.phy-astr.gsu.edu/hbase/hframe.html
> can be measured in WAVELENGTH from note to node as well, that is,
three
> ways altogether: from (1) node to node, from (2) crest to crest, and
> (3) trough to trough?

(2) and (3) are correct. (1), i believe, with give you half the
correct wavelength.

> Lastly, for now:
> Have the physical parameters of the WAVELENGTH of a sound been so
> studied, similarly to SUNSPOTS and DIFFRACTION PATTERNS OF ATOMS?
> http://www.hcc.hawaii.edu/hcconline/sci122/Programs/p28/p28.html
> http://www.molecularuniverse.com/mile/mile1.htm

i understand these websites, but i don't understand your question.
sound is very well-understood.

> Recall from above, as described according to the HyperPhysics
website:
> "the WAVELENGTH of a sound or note of 100 Hz is circa 3.45 meters,
> and a sound or note of 2000 Hz is circa 18 cm."
>
> If the SOUND WAVES IN AIR PATTERN were shown for each NOTE,
> i.e., 100 Hz at circa 3.45 meters or 2000 Hz at circa 18 cm,
> one at a time, all NOTES which musicologists talk about in terms
> of frequency but less so in terms of WAVELENGTH, then it appears
> each would show a distinctive unique PATTERN which would radiate
> out SPHERICALLY from the source and be MAPPABLE?

if the source is a point, then yes, the waves would radiate outward
spherically from it. you have a spherically propagating sine wave in
the case of a pure tone. that's all there is to map!