Music of the Sphere

1. Music of the Sphere Adriana Dumitrache, Cristiana Dumitrache

2. 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.

3. Antics Greeks SEC 5 IC - Pitagora The stars are on a sphere around Earth and form an armonic space. Pythagoras discovered that the pitch of a musical note depends upon the length of the string which produces it. Platon Aristotel Aristoxene Earth – Moon = 1 tone Moon - Mercur = 1 semitone Mercur – Venus = 1 semitone Venus - Sun = 1 tone and half Sun – Mars = 1 tone Mars – Jupiter = 1 semitone Jupiter – Saturn = 1 semitone Saturn – stars = 1 semitone There are six tones = 1 octave

4. 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

5. From microcosmos to macrocosmos, everything vibrate: • Inside the atom: • the stable particles have consonant accords • the instable particles have disonant accords • The elementary particles  60-70 octaves • higher than audible sounds. • (Joel Sternheimer) A black hole from Perseu emits sounds few million lower than the audible sounds – the lower limit registered in the Universe

6. Big Bang

7. Nature of Cosmic Sound • Volume : • pressure variations ~ 1/100,000 • corresponds to about 90 dB • Loud but not cacophonous • Pitch :  48 – 52 octaves below concert A (440 Hz)

8. Power spectra Sounds are not usually just one frequency, many frequencies are simultaneously present. The relative amount (loudness) of each frequency is called the power spectrum. Thus sounds can be graphed in two ways : • waveform = pressure vs time (or location) • power spectrum = loudness vs frequency (pitch)

9. 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).

10. Sound waves : red/blue = high/low gas & light pressure WMAP satellite

13. Venus transit on the solar disk Venus has not magnetosphere and does not emits radio

14. 105,5 ani 105,5 ani 121,5 ani 8 ani 8 ani 243 ani Saros sur 6000 ans 6 3 4 5 1 2

15. 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, Si Saros 5 - Re, Sol # Saros 6 - Fa, Si

16. Venus Canon

17. The Earth's song 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.

18. 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.

19. Earth song 2000 Thank you! Earth song 2004