adriana dumitrache, cristiana dumitrache. there is geometry in the humming of the strings... there...

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Adriana Dumitrache, Cristiana Dumitrache

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Page 1: Adriana Dumitrache, Cristiana Dumitrache. There is geometry in the humming of the strings... there is music in the spacing of the spheres. Pythagoras

Adriana Dumitrache, Cristiana Dumitrache

Page 2: Adriana Dumitrache, Cristiana Dumitrache. There is geometry in the humming of the strings... there is music in the spacing of the spheres. Pythagoras

There is geometry in the humming of the strings... there is music in the spacing of the spheres.

Pythagoras. The History of Philosophy (c.1660) by Thomas Stanley.

Page 3: Adriana Dumitrache, Cristiana Dumitrache. There is geometry in the humming of the strings... there is music in the spacing of the spheres. Pythagoras

Antics Greeks

SEC 5 IC - Pitagora The stars are on a sphere around Earth and form an armonic space.

Earth – Moon = 1 toneMoon - Mercur = 1 semitoneMercur – Venus = 1 semitone Venus - Sun = 1 tone and half Sun – Mars = 1 tone Mars – Jupiter = 1 semitoneJupiter – Saturn = 1 semitoneSaturn – stars = 1 semitoneThere are six tones = 1 octave

PlatonAristotelAristoxene

Pythagoras discovered that the pitch of a musical note depends upon the length of the string which produces it.

Page 4: Adriana Dumitrache, Cristiana Dumitrache. There is geometry in the humming of the strings... there is music in the spacing of the spheres. Pythagoras

The ideals of Pythagorean harmony inspired Copernicus himself.

Imagine that you are sitting on the sun. Planets do not orbit you circularly; they do so elliptically. Moreover, as planets approach you, their velocities increase. These observations made by Johannes Kepler (1571-1630) are pivotal to our present-day understanding of the solar system. Kepler dreamed that the planets' movements were of a divine order and that they collectively formed the music of the spheres. He wrote, "the movements of the heavens are nothing except a certain everlasting polyphony." As you listen from the sun, focus on the warbling pitch of the planets--the higher the pitch is, the faster the planet is moving

Page 5: Adriana Dumitrache, Cristiana Dumitrache. There is geometry in the humming of the strings... there is music in the spacing of the spheres. Pythagoras

The elementary particles 60-70 octaves higher than audible sounds.(Joel Sternheimer)

From microcosmos to macrocosmos, everything vibrate:

A black hole from Perseu emits sounds few million lower than the audible sounds – the lower limit registered in the Universe

Inside the atom:• the stable particles have consonant accords• the instable particles have disonant accords

Page 6: Adriana Dumitrache, Cristiana Dumitrache. There is geometry in the humming of the strings... there is music in the spacing of the spheres. Pythagoras
Page 7: Adriana Dumitrache, Cristiana Dumitrache. There is geometry in the humming of the strings... there is music in the spacing of the spheres. Pythagoras

1.1. VolumeVolume : : pressure variations ~ 1/100,000corresponds to about 90 dB Loud but not cacophonous

2.2. PitchPitch : : 48 – 52 octaves below concert A (440 Hz)

Nature of Cosmic SoundNature of Cosmic Sound

Page 8: Adriana Dumitrache, Cristiana Dumitrache. There is geometry in the humming of the strings... there is music in the spacing of the spheres. Pythagoras

Power spectraPower spectra

Sounds are notnot usually just one frequency,

manymany frequencies are simultaneously present.

The relative amount (loudness) of each frequency is called the power spectrumpower spectrum.

Thus sounds can be graphed in two ways : • waveform = pressure vs time (or location)• power spectrum = loudness vs frequency (pitch)

Page 9: Adriana Dumitrache, Cristiana Dumitrache. There is geometry in the humming of the strings... there is music in the spacing of the spheres. Pythagoras

The picture shows the full sky as seen by NASA‘s microwave telescope, WMAP.

These microwaves have been traveling for almost 14 billion years and they provide the most distant and ancient picture of the Universe we have dating from 380,000 years after the Big Bang (for a human, that's just 12 hours after conception).

Page 10: Adriana Dumitrache, Cristiana Dumitrache. There is geometry in the humming of the strings... there is music in the spacing of the spheres. Pythagoras

Sound waves :red/blue = high/lowgas & light pressure

WMAP satellite

Page 11: Adriana Dumitrache, Cristiana Dumitrache. There is geometry in the humming of the strings... there is music in the spacing of the spheres. Pythagoras
Page 12: Adriana Dumitrache, Cristiana Dumitrache. There is geometry in the humming of the strings... there is music in the spacing of the spheres. Pythagoras
Page 13: Adriana Dumitrache, Cristiana Dumitrache. There is geometry in the humming of the strings... there is music in the spacing of the spheres. Pythagoras

Venus transit on the solar disk

Venus has not magnetosphere and does not emits radio

Page 14: Adriana Dumitrache, Cristiana Dumitrache. There is geometry in the humming of the strings... there is music in the spacing of the spheres. Pythagoras

Saros sur 6000 ans

8 ani8 ani

121,5 ani121,5 ani

8 ani8 ani

105,5 ani105,5 ani

243 ani243 ani

105,5 ani105,5 ani

Page 15: Adriana Dumitrache, Cristiana Dumitrache. There is geometry in the humming of the strings... there is music in the spacing of the spheres. Pythagoras

Algoritm

The principal period is 243 years.Each year is divided by 243 and the rest were denoted by a musical score.It obtains:

Years BC Years AD Saros 1 Si b, Mi -Saros 2 Sol, Do # -Saros 3 Do #, Sol Re, Sol #Saros 4 Mi, Si bemol Fa, SiSaros 5 - Re, Sol #Saros 6 - Fa, Si

Page 16: Adriana Dumitrache, Cristiana Dumitrache. There is geometry in the humming of the strings... there is music in the spacing of the spheres. Pythagoras
Page 17: Adriana Dumitrache, Cristiana Dumitrache. There is geometry in the humming of the strings... there is music in the spacing of the spheres. Pythagoras

The planetary three-hour-range Kp index was introduced by J. Bartels in 1949 and is derived from the standardized K index (Ks) of 13 magnetic observatories. It is designed to measure solar particle radiation by its magnetic effects.

Page 18: Adriana Dumitrache, Cristiana Dumitrache. There is geometry in the humming of the strings... there is music in the spacing of the spheres. Pythagoras

Adriana has transcript on staves the graphics which record the activity of the geomagnetic field – Kp index.The chords become agitated when the Earth is affected by a geomagnetic storm.

Page 19: Adriana Dumitrache, Cristiana Dumitrache. There is geometry in the humming of the strings... there is music in the spacing of the spheres. Pythagoras

Thank you!

Earth song 2004

Earth song 2000