Parametric Trumpet Mouthpiece Free 3D print model

This is an predecessor to Mouthpiece 2.1:
http://www.thingiverse.com/thing:44422

After I successfully printed the working Trumpet mouthpiece yesterday, I learned OpenScad and made a parametrized version.

I print these in ABS at 20% infill and 0.2 mm layer thickness and sand the rim with fine sanding paper.

OpenScad:
I set up the parameters to be the same as my Vincent Bach 5 mouthpiece. I'll start playing with the parameters from there.

Impact of the parameter on properties info from Wikipedia: http://en.wikipedia.org/wiki/Mouthpiece_(brass)

Parameters:
CupDiameter=16; // [Trumpet ~16] Larger Cup Diameters are optimized for lower ranges, giving a richer tone. Smaller diameters assist high range playing.

CupDepth=11; // Shallower cups greatly assist playing in high ranges but do so at the cost of fullness of tone. Deeper cups assist low range flexibility and rich tone.

CupSphereFactor=0.8;// [0 (Conical) - 1 (Spherical)] Spherical cups have brighter, more projected tones, while conical cups have less tone definition.

RimWidth=6; // [~6] Wider rim widths reduce the pressure on the lips, allowing greater stamina. It does, however, reduce flexibility.

RimRadius=2.5; // [~2.5] Lower rim radius reduce stamina but increase control. More smoothed rims are commonly found on deeper cups.

ThroatRadius=2; // [~2 ] In spherical cups, a sharper throat contour gives a more harsh, projected tone and a rounded contour gives a deeper, richer tone. Conical cups with a smooth throat have less definition.

ThroatDiameter=3; // [Trumpet ~3.5] Larger throat diameters give more volume but less control. Smaller diameters have much more control but significant volume limitations.

BoreDiameter=8; // [Trumpet ~8] More conical backbores give a richer tone, while more cylindrical ones give a brighter, more projected tone.

FrontPipeDiameter=13; // [Trumpet ~13]

BackPipeDiameter=10; // [Trumpet ~10]

MouthPieceLength=87; // [Trumpet ~87]