TITLE: Teori Musikos (Music Theory)
NAME: DungBeatle
COUNTRY: USA
EMAIL: dungbeatle@mail.tds.net
WEBPAGE: None
TOPIC: Music
COPYRIGHT: I SUBMIT TO THE STANDARD RAYTRACING COMPETITION COPYRIGHT.
JPGFILE: dungbeat.jpg
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.


