Kepler's Harmony of the Worlds (Harmonices Mundi)
ฝัง
- เผยแพร่เมื่อ 8 เม.ย. 2021
- From Pythagoras to Kepler, mathematicians saw music in the orbits of the planets. This "universal music" was metaphysical concept, often taught in quadrivium.
(Bottom right: The orbit of Venus traces a 5-petal flower. A journey through music, mathematics and mystery of the cosmos. )
Based on the article, In The Celestial Chorus The Earth Sings Alto.
Read it for free here: bit.ly/CelestialChorus
The Chamber by Kevin MacLeod
Link: incompetech.filmmusic.io/song...
License: filmmusic.io/standard-license
Supernatural by Kevin MacLeod
Link: incompetech.filmmusic.io/song...
License: filmmusic.io/standard-license
TRAPPIST Sounds : TRAPPIST-1 Planetary System Translated Directly Into Music
• TRAPPIST Sounds : TRAP...
Orbital music created by system-sounds.com.
Stock footage from pixabay.com - วิทยาศาสตร์และเทคโนโลยี
Turn up the volume
Wow -sublime
PLease upload the video again admin, by turning up the volume
Great video
Brilliant thank you, I have heard them myself.
All is in phi and pi- the universe is a real magical masterpiece etched by the most simplex and complexity LIGHT! I think Kepler is a cosmological mystic way ahead of our science and physics of the cosmos .
The volume on this needs adjusted to do the graphics and research justice.
indeed.
Thank you for fantastic videos ! I am a new subscriber.
I understand that the value, your function f(x)=1/x+1 converges upon is Phi, one of its fixed points (the attractor). The other fixed point is the repulsive one (-1/Phi). It is because if you start with value of x close to -1/Phi and feed the output of your function to the input, quickly the value of the function will reach 0, and in the next step, for x=0, the function f(x)=1/x+1 has no value.
I don´t understand though the number in right down corner of your graph, 4:11. It starts from 1,5925, goes down to 1,2 than jumps to 1125899906842626 (looks like an error), and than slowly falling from 1,8. What does it mean?
Very inspiring video, thank you again !
Thanks for the comment. It's been a while since I've reviewed the video. I'll have a look. Might be time for a remake, considering the volume on this one was so poor.
@@MathAdam Thanks for your answer. I just want to correct my previous comment. I wrote that if the value of x is close to -1/Phi, than the value of the function quickly becomes 0. In fact, the fastest the function will reach 0 is, if x= -1. On the other hand f.ex. if x= -28/45 it goes fine: the value of f(x)=1/x+1 will reach 17/10 (close to Phi) in 10 steps. What is "forbidden" here: the negative quotient of two consecutive numbers from the Fibonacci cycle, f.eks. -5/8, -8/13. Greetings from Denmark !
PS. I don't understand though what this has to do with orbital synchronization. I read in Wikipedia: "Attracting fixed points are a special case of a wider mathematical concept of attractors. Fixed-point iterations are a discrete dynamical system on one variable. Bifurcation theory studies dynamical systems and classifies various behaviors such as attracting fixed points, PERIODIC ORBITS, or strange attractors." I can't wrap my head around it. Help !
2:50 I’m hearing Beethoven’s 9th.