My colour temperature dimmer is too slow

By default Colour dimmers send out a step command that causes the light to move 1 mirek.  The relationship between mirek and kelvin is as follows:

mirek = 1 000 000 / kelvin

kelvin = 1 000 000 / mirek

For example, 

200 mirek = 1 000 000 / 200 = 5000 kelvin

201 mirek = 1 000 000 / 201 = 4975 kelvin

From this, it can be seen that a single mirek step can be quite small.  

Fortunately, colour temperature devices have a setting called the "Step Increment" which can increase the amount of mirek steps that a device will apply.

This can be found in the Device Types -> Colour Control section.