We know how important the “wave function” is in physics. One problem with the wave function is “wave interference” which scrambles wave functions and tends toward “chaos”.
OTOH, “wave harmonics” reinforce wave functions and thends toward “patterns”.
This is an excellent presentation of the importance of wave functions in the formation of patterns, including the harmonic wave functions of thehuman biome.
All information and representations of wave functions in nature are welcome. Let’s see if we can paint a patterns of concensus…
at 7:20 “what does the sound contained in a triangle sound like” - He doesn’t explain how those tones were arrived. Did he convert the number to kHz or something?
Dang, got to 12:30 of this, thought I’d have more time with, then the walk with Maddy, then thinking about trumpsters, and had to do the other comment, now time is up. The day is moving on and I gotta try and keep up.
I’ve confused about how he actually arrived at the tones he used.
Nature uses a slightly different prevalent resonance than human invented music scales, even as the different values remain relatively the same (mathematical functions).
A440 or A4, which has a frequency of 440 Hz, is the musical note of A above middle C and serves as a general tuning standard for musical pitch. The International Organization for Standardization classifies it as ISO 16. Before standardization on 440 Hz, other frequencies were standardized upon. Wikipedia
CCv3 said; I’ve confused about how he actually arrived at the tones he used.
Stacking the same relative values on top of each other.
If you want to hear how the Lydian scale is applied, listen to Bill Evans, a great jazz pianist. He mastered the Lydian chromatic mode and created some of the most delicate tonal progressions in jazz.
Virtual Museum Exhibit: Pasos Peace Museum (visit: www. pasospeacemuseum.org)—Bill Evans’s “Peace Piece” is an unrehearsed modal composition that he recorded for his “Everybody Digs Bill Evans” LP in 1958. It is hailed as one of the most beautiful and evocative solo piano improvisations
This video is of a constant sound vibrating in water (note F#, 5mm radius, 1cm depth). Light reflections reveal its form and movement of the waves. It takes a little time for the surface to move into its final resonance.
https://www.youtube.com/watch?v=3CAp2k2ErSo
and: The Memory of Water - h2o Remembers Everything | Love Nature
If sound waves can do this with sand and water, can you imagine the patterns formed in all physical media. The Universe consists only of patterns formed by wave harmonics.
This is why Max Tegmark interests me so much . His hypothesis of a “Mathematical Universe” is based on the self-formation and assembly of “patterns”.
If I understand correctly, he even proposes that “consciousness” is a transcendent pattern which emerges from the mathematics of thought waves in the brain.
I wouldn’t put too much stock in the way numbers seem to relate. Much of what looks like some relationship could come from the system of numbers we use. The way things look using binary or hexadecimal may be very different from how they look using base 10. And consider what a difference there would be if we used a multiple of 2, such as 1024, for the number of degrees of a circle instead of 360. And we could just as well define a second as 1/1000 of a minute as 1/60. Even Planck units don’t eliminate the arbitrary choice of a numerical base.
I think it best to accept that what we recognize as patterns tells us something about the objects and their context as a whole rather than something about some supposed numerical existence.
Hmmm, now there's big thought to wrap one's head around.
Is that something akin to the “supposed” notion of time?
W4U, thanks for the tips. Can’t do it now, but look forward to viewing those videos.
<blockquote>He mastered the Lydian chromatic mode and created some of the most delicate tonal progressions in jazz.</blockquote>
That'll be an interesting experiment. Not sure exactly what it means, but I've got some guesses. W4u I'll approach it in good faith - though I have the feeling it might be challenging to my simplistic musical tastes. I'm game. Will report back after i listen to it. ;-) Besides I appreciate you're sharing it for mathematical reasons and not musical esthetics. :-p
Ibelievein logic said; I think it best to accept that what we recognize as patterns tells us something about the objects and their context as a whole rather than something about some supposed numerical existence.
This is a common interpretation, but it is missing the point. No one is advancing the idea that the numbers 1,2,3,4,5, exist in the universe. These are human symbols to identify "relative values".
So, any time you see someone talk about "numbers’ , substitute the term with “relative values” and that changes the entire concept of proposing a mathematical universe which functions in accordance to “relative values and mathematical functions” in the formation of patterns with consisting of relative values. That is perfectly compatible with the concept of Relativity.
A beautiful example is found in the pattern (image) of relative value which we identify as “4/3.”
Check out this excellent lecture by Roger Antonsen on our use of symbolic language to perform mathematics. If you just want to see the image of 4/3 , start @ 7:00
I’m guessing I can ‘feel’ 440 warmer, but how much is suggestion. That’s the sort of video I’d need a guide to walk me through. As much as I like music, those technical details hell even the difference tween 440 Hz - … - at different keys, I haven’t even wrapped my head around something so basic… But I also fear my ears don’t have the best tone recognition, so yada yada
And consider what a difference there would be if we used a multiple of 2, such as 1024, for the number of degrees of a circle instead of 360. And we could just as well define a second as 1/1000 of a minute as 1/60.
I don't think that's true, 360° can only be achieved halving that circle repeatedly. 720° is far too fine, to be practical. Least that's how it was explained to me and it beats the thought of dividing a circle into a thousand.
Degrees are all about equally dividing a circle. 360° is an inevitable number, for navigational purposes.
Is that something akin to the “supposed” notion of time?
https://en.wikipedia.org/wiki/Numerology
I don’t think that’s true, 360° can only be achieved halving that circle repeatedly. 720° is far too fine, to be practical. Least that’s how it was explained to me and it beats the thought of dividing a circle into a thousand.
Degrees are all about equally dividing a circle. 360° is an inevitable number, for navigational purposes.
I think you will find that 360 is somewhere between 256 and 512.
https://en.wikipedia.org/wiki/Physical_constant: It is known that the Universe would be very different if these constants took values significantly different from those we observe. .... This has prompted attempts at anthropic explanations of the values of some of the dimensionless fundamental physical constants.
And we struggle with anthropormorphism as well as personification.
@ibil said; And we struggle with anthropormorphism as well as personification
This is because we do not fully understand the mathematical nature of the universe. Consider that according to Max Tegmark, consciousness itself is an emergent (transcendent) mathematical pattern. But don't let the term transcendent fool you. It has nothing to do with a conscious universe (god). Universal mathematical functions are completely deterministic and not subject to FW.
This may be of interest re; wave harmonics. This demonstration of complex wave functions and their result is wonderfully exemplified in this experiment.
Just our attempts to assign the qualities we observe in living beings to inanimate objects and groups of objects. It is so common in our daily lives and we seem to be unable to avoid it even in science. We recognize we have always had some bias towards religion and I think this is it. When we think of inanimate objects as having those qualities, perhaps any quality, and we describe an object or group of objects in a way other than in terms of position and mass we begin to input intent and or purpose. I suggest this is the entrance into mysticism which includes numerology.
