Adjust Tone of Hex Color

I’m starting off with two colors ( 0xa0b1cf, 0x000000 ) and 10 Shapes and I want to blend the colors from 0xa0b1cf to 0x000000 across all 10 Shapes. Is there a way to pragmatically increase the tone of a hex color?

somthing like:

var totalShapes = 10 // number of shapes

for (var i:int = 0; i < totalShapes; i++) {
var newColor = 0xa0b1cf + black // add back to this color until it is completely black at the end of the loop
var shape:Shape = new Shape();
shape.graphics.beginFill(newColor);
shape.graphics.drawRect(0, 50*i, 50, 50);
shape.graphics.endFill();
addChild(shape);
}

Thanks