GregFoxCarmenoftheSpheres Greg Fox audio opensource_audio You are looking at "Carmen of the Spheres" for nine sine waves totalling 64 minutes 12.246 seconds for stereo speakers. This is my attempt at a solely rational approach to the "Harmony of the Spheres". To hear the 160kbps MP3 version, click <a href="http://www.archive.org/details/GregFoxCarmenoftheSpheres/Greg-Fox_Carmen-Of-The-Spheres160.mp3" rel="nofollow">HERE</a>. Purpose ------------------------- The piece attempts to aurally model the solar system as accurately as possible whilst making a piece of music of CD length. Method ------------------------- Orbital data from Wikipedia was taken for each of the (then) nine planets of the solar system. The orbital period was halved repeatedly so that, according to the octave principle in acoustics, frequencies could be derived which would be octave-equivalent to the planetary orbits but audible to humans. For more detailed information regarding octave equivalence modelling, click <a href="http://homepages.tesco.net/gregskius/oe.html" rel="nofollow">here</a>. Implementation ------------------------- Each planet yielded six audible frequencies (all octave-equivalent) and, at longer lengths (fewer halvings) six musically meaningful durations. Rather than produce a static model, which would just be a chord, I decided to use each of the frequencies and durations in turn for each planet. This means that for a given 'planet' in this model, the melodic form is broadly a semibreve in the bass followed by a minim in the tenor, a crotchet in the alto and so on, with each successive note being an octave higher and half the duration of the previous one. All the planets are presented simultaneously. This means that the various melodies are layered to produce non-overlapping patterns, always slightly different. 2006-07-31 2006 Music of the spheres;Consilience;Pythagoras;Greg Fox;Planets Consilience Synaesthesia Harmony of the Spheres http://creativecommons.org/licenses/by/2.0/uk/ 2006-06-30 13:35:08 2006-06-30 16:35:15 gregskius@tesco.net gregskius@tesco.net Greg Fox / La Voix Fidel Greg Fox / La Voix Fidel Greg Fox / La Voix Fidel Greg Fox / La Voix Fidel Greg Fox / La Voix Fidel Greg Fox / La Voix Fidel Greg Fox / La Voix Fidel Greg Fox / La Voix Fidel Greg Fox / La Voix Fidel Greg Fox / La Voix Fidel Greg Fox / La Voix Fidel Greg Fox / La Voix Fidel Greg Fox / La Voix Fidel Greg Fox / La Voix Fidel Greg Fox / La Voix Fidel Greg Fox / La Voix Fidel Greg Fox / La Voix Fidel Greg Fox / La Voix Fidel Greg Fox / La Voix Fidel Greg Fox / La Voix Fidel 2006-07-01 16:10:55 2006-07-17 20:16:52 2006-07-27 18:43:26 2006-07-28 12:57:49 2006-07-28 13:08:43 2006-07-28 19:44:09 2006-07-29 12:00:45 2006-07-29 15:02:14 2006-07-30 11:51:20 2006-08-03 10:26:17 2006-08-03 18:01:42 2006-08-03 18:16:54 2006-09-27 13:37:22 2006-09-28 12:50:54 2006-09-30 12:36:10 2006-09-30 12:40:54 2006-11-08 14:08:38 2006-12-15 21:54:27 2010-01-22 03:15:00 2010-01-22 03:34:19 Greg Fox 64m12.246s I have included the raw materials so that you can compile your own version of this piece (you may be vehemently opposed to Pluto, or have a yearning for 2003 UB313 or Ceres!). The raw data can be used in a number of ways. To hear the 160kbps MP3 version of the default published album version, click <a href="http://www.archive.org/details/GregFoxCarmenoftheSpheres/Greg-Fox_Carmen-Of-The-Spheres160.mp3" rel="nofollow">HERE</a>. The files labelled DATA contain tables of durations and frequencies. The larger Excel-2000 workbook contains a lot of the workings out, preliminary thoughts, etc. including erroneous early approaches which succumbed to the fallacy of turning numbers into frequencies, ie. 400 becomes 400hz. This is entirely wrong, as 400hz is 1/400 seconds, not 400 seconds (obviously when you think about it!!), but on paper it's an easy trap to fall into. Another early fallacy was scaling the figures numerically. Frequencies behave logarithmically, with octaves sounding the same at 2:1 ratios. Therefore arbitrary division/multiplication destroys the flavour of the pitches and completely undermines any link between the original figures and the end-product. The best approach, in the end, was dividing ONLY by powers of 2 (ie. octave-shifting ONLY). There is a support page for this "Octave Equivalence Tool" <a href="http://homepages.tesco.net/gregskius/oe.html" rel="nofollow">here</a> (http://homepages.tesco.net/gregskius/oet.html) but the same distributed version is always kept updated here on the Internet Archive. The tool calculates the equivalent frequency of light as well as audible sound, so will be of interest to people with an interest in synaesthesia and related subjects. For maximum compatibility, here's the frequency and duration data in plain text format (comma-delimited): Durations(sec) Mercury 0.453 0.906 1.812 3.624 7.248 14.496 Venus 0.578 1.157 2.314 4.628 9.257 18.514 Earth 0.47 0.94 1.88 3.76 7.524 15.048 Mars 0.442 0.884 1.768 3.537 7.075 14.15 Jupiter 0.697 1.394 2.789 5.579 11.158 22.315 Saturn 0.432 0.865 1.731 3.462 6.924 13.848 Uranus 0.617 1.235 2.47 4.941 9.883 19.767 Neptune 0.605 1.211 2.422 4.845 9.691 19.383 Pluto 0.455 0.911 1.822 3.645 7.291 14.582 Frequencies (hz) Mercury 2260.345 1130.172 565.086 282.543 141.271 70.635 Venus 3539.661 1769.83 884.915 442.457 221.228 110.614 Earth 2177.588 1088.794 544.397 272.198 136.099 68.049 Mars 2315.605 1157.802 578.901 289.45 144.725 72.362 Jupiter 2936.761 1468.38 734.19 367.095 183.547 91.773 Saturn 2366.231 1183.115 591.557 295.778 147.889 73.944 Uranus 3315.368 1657.684 828.842 414.421 207.21 103.605 Neptune 3380.968 1690.484 845.242 422.621 211.31 105.655 Pluto 2247.057 1123.528 561.764 280.882 140.441 70.22 Carmen of the Spheres Sound 2010-01-25 04:00:38 Greg Fox / La Voix Fidel Mon Feb 22 5:41:03 UTC 2010