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I have one but the batteries in my calipers are dead so it may take a few days for me to get around to it if nobody else can do it sooner. I'm not really sure what measurement(s) you want. All you can get with calipers is basic length and width and not even to a particularly high level of accuracy. I believe the dimensions that really make that blow hole play the way it does are not easily measured with calipers. The riser height, wall angle, blowhole shape, etc. have a lot to do with the resistance, response, and sound. Maybe I'm missing something?
 

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The EC measured 10.03 x 12.00mm. Getting an accurate diagonal without scratching the crap out of my headjoint wasn't possible. FWIW, my student model Yamaha and Muramatsu GXIII were almost exactly the same at within a fraction of a mm of 10x12mm.

It appears to me, just looking at the holes with the naked eye, that they aren't perfect ovals either. The side closest to the crown is flatter or "more square" than the flute body side which appears more elongated to me.
 
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