EMAIL: dungbeatle@mail.tds.net NAME: DungBeatle TOPIC: Music COPYRIGHT: I SUBMIT TO THE STANDARD RAYTRACING COMPETITION COPYRIGHT. TITLE: Teori Musikos (Music Theory) COUNTRY: USA WEBPAGE: None RENDERER USED: Megapov 0.7 TOOLS USED: spatch 1.5, PSP 6.02 RENDER TIME: 15 hours HARDWARE USED: PIV 3GHz IMAGE DESCRIPTION: Music theory on a torus. The numbers represent scale degrees. This figure shows how scale degrees in each key relate to scale degrees in all the other keys. The pattern: 4,1,5,2,6,3,7 is the order of sharps. Reversed it's the order of flats. The torus shows how a scale degree in one key can be thought of as a different scale degree in another key. For example: Scale degree 1 in the key of C is scale degree 5 in the key of F, which has one more flat (counter- clockwise looking at the torus ). Or it could be scale degree 4 in the key of G, which has one more sharp (clockwise looking at the torus). The numbers that wrap around the torus' minor radius are the scale degrees within their keys. The numbers correspond to the circle of fifths. Sorry for the detail... It's a secret decoder ring! Found on a remote island in the Aegean Sea, it was thought to have magic powers... Recorded in little-known ancient scrolls, the Teori Musikos was an artifact sought by Jason and the Argonauts, who eventually gave up hope and settled for the Golden Fleece... or something like that... DESCRIPTION OF HOW THIS IMAGE WAS CREATED: I had to use Megapov 0.7 because it has a Bezier patch and I have some old code for making leaves with it. The marble texture for the torus is from http://www.mayang.com/textures/ The rocks were modelled in spatch. Clouds are media, 2 layers. There's some individual media clouds along the horizon. Everything else is just CSG.