Reed for Saxophone/Clarinet parametric model

thingiverse

This customizer crafts a model of saxophone/clarinet reed (similar in construction).\nThe model is parameterized with numerous parameters that target full music instruments line of mouthpieces.\nThe default parameters are set for ABS reed for Alto Saxophone mouthpiece.\nI've checked how it sounds with the model http://www.thingiverse.com/thing:14495\n... and it works well.\nI have not yet checked how it sounds with alto sax, but I will update the summary when I gain access to it in the near future.\nThe parameterized model of the customizer can be described as a variable radius cone intersected with the cylinder of reed blank.\nThe reed blank is parameterized by:\nReed Overall Length;\nReed Cylinder Radius - defines curvature of the reed place in contact with ligature;\nReed Back Thickness - defines maximum thickness of ligature part of the reed;\nReed Back Width - defines ligature reed end desirable width;\nThe tip is parameterized by:\nReed Tip Crosscut Curvature - this provides non-flat profile of the tip and works as a base curvature for local profile changes below;\nReed Tip Crosscut Increment Element N - defines increment of the Reed Tip Crosscut Curvature parameter, so that positive values further decrease curvature, while negative values increase curvature.\nThe parameter is in the same units; For example if Reed Tip Crosscut Curvature is 200mm and Reed Tip Crosscut Increment Element 1 is (-1)mm then local curvature at 1 is 199mm;\nElements are numbered from tip end to the middle of the reed;\nReed Tip Cut Angle - defines the parameterized variable curvature cone axle inclination from tip end to the middle of the reed;\nReed Tip End Width - defines tip end width; Note that Reed Cylinder Radius and Reed Back Thickness influence what is the maximum Reed Tip End Width makes sense, otherwise tip end exceeds rest part of the tip;\nReed Tip End Round - defines rounded form of the tip end - which part of Reed Overall Length is rounded with ellipse, or ellipse semiminor axis;\nReed Tip Initial Thickness - defines tip end thickness when Reed Tip Crosscut Increment Element 0 is 0mm, and the tip end point height to apply Reed Tip Cut Angle;\nThat's it. Happy experiments with this reed engine.\n12/01/2016 - added height to text, otherwise it was not etched\n12/02/2016 - updated cone correction formula for neighbor elements\n12/03/2016 - checked Alto V model in Remixes with my saxophone. See results in the particular model.\n12/04/2016 - checked Alto W model in Remixes with my saxophone. Reed own resonance raised one semitone higher than Reed V for second octave C2# best response.\n12/31/2016 - minor error is fixed. Fix simplified source code a bit. No other changes.\n12/31/2016 - new engine version http://www.thingiverse.com/thing:2006116 with more flexibility in specification of reed 3D model, simplified parameters perception, that should popularize work with the new engine.\nAlso parameters for different instruments mouthpieces are more compatible in the new engine since they less depend on the modeled reed size parameters.\nThere may be still some arguments to use this engine, since the elements form is specified with fewer params for the particular saxophone/clarinet.\n03/18/2017 - shifted text placement to the back of the reed to place more text for short reeds (Soprano Sax/Clarinet Bb).\nAdd space symbol for placement on long reeds.\nPS: Thanks to http://www.thingiverse.com/thing:817389 for the initial idea to create this customizer.\nPPS: Looks like I was able to fine-tune Customizer aware SCAD structure and Customizer shows all parameters now, but since the 3D drawing is not informative, just use OpenSCAD for proper viewing.