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SEE LINKS ;
http://whatmusicreallyis.com/papers/sacred_sounds_scale.html
https://web.archive.org/web/20200202133222/http://whatmusicreallyis.com/research/tuning/
http://whatmusicreallyis.com/papers/
http://whatmusicreallyis.com/papers/hearing_nature.html
The Sacred Sounds Scale:
Harmonizing 432, 528, 424 and 440 Hz into a Single Tuning.
There is one tuning
in which the frequencies 432, 528, 424 and 440 Hz can peacefully coexist. The
scale...
https://web.archive.org/web/20181201113946/https://www.aesdnet.work/blog
UPDATE : Following are comments from the originator ;
My question to him ;
I had a question, while reviewing a link of yours ;
https://web.archive.org/web/20201010124608/http://whatmusicreallyis.com/research/tuning/
I saw this diagram (
see attached graphic )
I had a couple of
questions about some of the math expressions there, for example it shows ;
5/6 subscript 6, to
the power of 7
In some of your other
docs you show taking a ratio and taking its natural log and then multiplying it
by 1000
In the example of 5/6
subscript 6, to the power of 7, are you taking the log using a 6 base?
My apologies but Im
not following what ; "5/6 subscript 6, to the power of 7" would
produce exactly?
Im probably missing
something simple and obvious
Do you mean 5/6 to a
log 6 base and then raised to a power of 7 ?
His Answer
That
section of the study is concerned with "Creating Consonant Artificial
Tunings" and I give examples of stretched and compressed tunings, derived
from their respective deviated series of harmonics.
These examples, as depicted in the graphics, stretch the perfect
harmonics so that the deviated-stretched series #6 coincides with harmonic #7,
respectively compress the perfect harmonics so that deviated-compressed series
#7 coincides with harmonic #6. That's why all examples take log 6 and 7 from
the log base 7 and 6.
So (6/5)^log₆7, also written (6/5)^log6(7) will
stretch the harmonic tone 6/5 by raising it to the power "logarithm in
base 6, of 7".
As a side note, there is no 5/6 sonic entity on that page you
probably mean 6/5.
Please don't bother with that section, it's a mathematical
curiosity not worth exploring, unless you want to write something musical using
artificial tunings. The links to actually hear these tunings work if you remove
the header from the link (i.e. this "https://web.archive.org/web/20201010124608/").
Here they are, cleaned:
Play the Total Resonant tunings using these timbres on the
Terpstra Keyboard WebApp:
n=log₆7 Stretched
n=log₇6 Compressed
In harmony,
Bo
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the
lens took rays that were global and made them local.
the phase is where you are in the cycle of the wave: are
you in a peak, a trough, the middle,
etc. But for this
derivation, just know that its the stuff to goes into the exponent of the
complex
exponential.
The transform is fundamental tool in
science, but also is how your eyes see the world.
Equation 2: the wavevector definition, where the
unit vector n points in the
direction
of propagation. λ is the wavelength of light. where n is a unit vector pointing along the ray.
Because of the k-label, its also standard to call
these k-vectors. This is the k goes into our wave
function exp(ikr).
https://www.cantorsparadise.com/the-fourier-transform-in-your-eyes-84cfe0fa31b4
PETER KINGSLEY:
Parmenides and Empedocles lived just before the time in Western history when,
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P: So this is not a
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Parmenides before him. But people dont really read what they say. Instead they
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not yet human, because what he said then applies just as much to us today.
https://parabola.org/2016/11/01/common-sense-an-interview-with-peter-kingsley/
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