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Beat For glyphs without unicode number, use 0xFFFF. This should work as long as you have specified the correct glyph index and character group.
The measuring tool will measure in units corresponding to the current setting of the main window. If grid fit or pixels (or both) are turned on, units are pixels, in accordance with the current point size and resolution. If both grid fit and pixels are turned off, units are font units (design units), which I suppose is what you expected.
I'm not sure I understand the third question. After adding a GROUP TamilUC (or more) to your font, along with a CVT numbers with attributes such as "TamilUC Black X Distance", did you re-compile the control program (the CVT table)? Does the correct character group show up at the top of the main window? (the CharGrp.txt template is not re-loaded automatically after changes to the template). Alternatively, you can change the character group of an individual character by "Edit => Edit Chargroup..." (short cut Ctrl+U), this will cycle through all character groups, but won't alter the CharGrp.txt template.
Hope this helps
Beat
