+ All Categories
Home > Documents > Pythagoras : “All is Number” the “ Music of the Spheres ”

Pythagoras : “All is Number” the “ Music of the Spheres ”

Date post: 23-Feb-2016
Category:
Upload: adonis
View: 29 times
Download: 0 times
Share this document with a friend
Description:
Pythagoras : “All is Number”  the “ Music of the Spheres ”. Pythagoras at his “Monochord”:. Intervals between harmonious musical notes always have whole number ratios. Playing half a length of a guitar string gives the same note as the open string, - PowerPoint PPT Presentation
Popular Tags:
48
Transcript
Page 1: Pythagoras :  “All is Number”   the “ Music of the Spheres ”
Page 2: Pythagoras :  “All is Number”   the “ Music of the Spheres ”

What is it…?

A Duck, or a Rabbit?!

Page 3: Pythagoras :  “All is Number”   the “ Music of the Spheres ”
Page 4: Pythagoras :  “All is Number”   the “ Music of the Spheres ”

Pythagoras: “All is Number” the “Music of the Spheres”

Intervals between harmonious musical notes always have whole number ratios. Playing half a length of a guitar string gives the same note as the open string, but an octave higher; a third of a length gives a different but harmonious note; etc. Non-whole number ratios, on the other hand, tend to give dissonant sounds. Pythagoras described the primary building blocks of musical harmony: the octave (1:1), the perfect fifth (3:2), the perfect fourth (4:3) and the major third (5:4).

Pythagoras at his “Monochord”:

Page 5: Pythagoras :  “All is Number”   the “ Music of the Spheres ”

The “Geocentric Universe” of Pythagoras & Aristotle

Page 6: Pythagoras :  “All is Number”   the “ Music of the Spheres ”

So… If the “Dome of the Stars” turns the Universe, then what turns the Dome of the Stars…?

Obviously, it’s the “Prime Mover”!

Page 7: Pythagoras :  “All is Number”   the “ Music of the Spheres ”
Page 8: Pythagoras :  “All is Number”   the “ Music of the Spheres ”
Page 9: Pythagoras :  “All is Number”   the “ Music of the Spheres ”
Page 10: Pythagoras :  “All is Number”   the “ Music of the Spheres ”
Page 11: Pythagoras :  “All is Number”   the “ Music of the Spheres ”
Page 12: Pythagoras :  “All is Number”   the “ Music of the Spheres ”
Page 13: Pythagoras :  “All is Number”   the “ Music of the Spheres ”
Page 14: Pythagoras :  “All is Number”   the “ Music of the Spheres ”

The Golden Age of Islamic Astronomy (825 – 1450 A.D.)

Page 15: Pythagoras :  “All is Number”   the “ Music of the Spheres ”

Nicolaus Copernicus (1473 – 1543 A.D.)

Page 16: Pythagoras :  “All is Number”   the “ Music of the Spheres ”
Page 17: Pythagoras :  “All is Number”   the “ Music of the Spheres ”
Page 18: Pythagoras :  “All is Number”   the “ Music of the Spheres ”
Page 19: Pythagoras :  “All is Number”   the “ Music of the Spheres ”

Giordano Bruno

The monument to Bruno in the place he was executed, Campo de' Fiori in Rome.

(1548 – 1600 A.D.)

“It may be you fear more to deliver judgment upon me than I fear judgment.”

Page 20: Pythagoras :  “All is Number”   the “ Music of the Spheres ”

Galileo Galilei (1564 – 1642 A.D.)

Page 21: Pythagoras :  “All is Number”   the “ Music of the Spheres ”

Galileo's Sidereus Nuncius (the “Starry Messenger”), this edition from 1653. Galileo first described craters and mountains on the Moon, as seen with a telescope.

Galileo Observed… Enormous Craters on the Moon

Page 22: Pythagoras :  “All is Number”   the “ Music of the Spheres ”
Page 23: Pythagoras :  “All is Number”   the “ Music of the Spheres ”

Galileo's sketch of a sky filled with stars. (A drawing of the Andromeda Galaxy… …Like the Milky Way!)

Page 24: Pythagoras :  “All is Number”   the “ Music of the Spheres ”

Galileo Observed… Four Large Moons of Jupiter

Page 25: Pythagoras :  “All is Number”   the “ Music of the Spheres ”

Galileo Observed… The Phases of Venus

Page 26: Pythagoras :  “All is Number”   the “ Music of the Spheres ”

The first successful measurements of Stellar Parallax (of 61 Cygni)…

Friedrich Bessel’s “Heliometer”

in 1838!

Page 27: Pythagoras :  “All is Number”   the “ Music of the Spheres ”

Tycho Brahe (1546 – 1601 A.D.) (and his Private Observatory, “Uraniborg”, on Hven Island)

Page 28: Pythagoras :  “All is Number”   the “ Music of the Spheres ”

Johannes Kepler (1571 – 1630 A.D.)

Page 29: Pythagoras :  “All is Number”   the “ Music of the Spheres ”

Kepler’s 1st Law…

Page 30: Pythagoras :  “All is Number”   the “ Music of the Spheres ”

Kepler’s 1st Law: Planetary Orbits are Ellipses with the Sun at 1 Focus

Page 31: Pythagoras :  “All is Number”   the “ Music of the Spheres ”

Kepler’s 2nd Law…

Page 32: Pythagoras :  “All is Number”   the “ Music of the Spheres ”

Kepler’s 2nd Law: Equal Areas are “Swept Out” in Equal Times

Page 33: Pythagoras :  “All is Number”   the “ Music of the Spheres ”

Kepler’s 3rd Law:

Page 34: Pythagoras :  “All is Number”   the “ Music of the Spheres ”

Isaac Newton (1642 – 1727 A.D.)

Page 35: Pythagoras :  “All is Number”   the “ Music of the Spheres ”
Page 36: Pythagoras :  “All is Number”   the “ Music of the Spheres ”
Page 37: Pythagoras :  “All is Number”   the “ Music of the Spheres ”
Page 39: Pythagoras :  “All is Number”   the “ Music of the Spheres ”
Page 40: Pythagoras :  “All is Number”   the “ Music of the Spheres ”
Page 41: Pythagoras :  “All is Number”   the “ Music of the Spheres ”
Page 42: Pythagoras :  “All is Number”   the “ Music of the Spheres ”
Page 43: Pythagoras :  “All is Number”   the “ Music of the Spheres ”

Q: How to detect dim “Extrasolar Planets” (“Exoplanets”)?

A: Use Newton’s Third Law!(“Action-Reaction”…

i.e., “Force-Counterforce”)

Page 44: Pythagoras :  “All is Number”   the “ Music of the Spheres ”
Page 45: Pythagoras :  “All is Number”   the “ Music of the Spheres ”
Page 46: Pythagoras :  “All is Number”   the “ Music of the Spheres ”
Page 47: Pythagoras :  “All is Number”   the “ Music of the Spheres ”

Extrasolar Planets(“Exoplanets”)

Web Link: The Extrasolar Planets Encyclopedia(http://exoplanet.eu)

Page 48: Pythagoras :  “All is Number”   the “ Music of the Spheres ”

“There is a single general space, a single vast immensity which we may freely call void: in it are innumerable globes like this on which we live and grow, this space we declare to be infinite, since neither reason, convenience, sense-perception nor nature assign to it a limit.”

— Giordano Bruno

Quoted in Joseph Silk, “The Big Bang” (1997) Giordano Bruno

Habitable Exoplanets Catalog (http://phl.upr.edu/projects/habitable-exoplanets-catalog)


Recommended