Photoshop: Rotate Brush Tip 'On the fly' (Keyboard shortcut, Mouse-wheel or Click + Drag)

This may seem wild, but many ideas might've seem that way when first introduced, so bare with me as I believe it would be rather sexy addition to using brushes in Photoshop.

Imagine you choose a brush tip and are ready to use it in your art. But it's not quite right and you could use the Brush Tip to rotate few degrees. So you go to your Brush Palate and Brush Tip Shape Palate and manually rotate the wheel in that Dialog Box or type the number of degrees in a Angle Box(°).
Then you go back to your art and continue using the newly set up brush. Until - you need to adjust the rotation of the Tip again, and again... you get the point.

Wouldn't it be fantastic if we can rotate the Brush Tip 'on the fly' without having to go to the brush palate over and over again, just like we can now change it's size and softness?

Perhaps Left Bracket and Right Bracket would rotate the brush Tip CCW and CW by a 1° (by 10° with Shift) or in increments you set up in Preferences?
Wouldn't that be something?
I am aware of similar function can be achieved using the Pen Tool. This idea however would be available for both, Pen and Mouse and for all Tools using Brush Tip, including Stamp (Clone) Tool.
If this is already possible and I was living in the dark, please enlighten me.