Automation
Parameters of a device whose Parameter Visibility attribute is set to Automated and Stored are available in Live's automation editor (visible in the Arrangement view). The automation editor permits you to draw curves or other control information that will change parameter values automatically as the arrangement plays.
The parameter data type determines the type of automation editor shown. More on this topic soon.
Another way parameter values can be changed automatically is by using clip envelopes to modulate parameter values. While automation sets the absolute value of a parameter, modulation adjusts the value up or down from its current value.
Modulating a Max for Live Device Parameter

Parameter Automation Data at Audio Rates
While getting parameter automation data from the Live application at message rates for use in your Max for Live device is common, some devices require that you receive parameter automation data from the Live applcation at higher and more accurate rates. Any Max for Live device can receive its parameter automation data in the form of a sample-accurate audio-rate ramp using the live.param~ object.
The live.param~ object takes as an argument the name of an automatable parameter to which it is bound. Any change to the automatable parameter's output value will be send out the outlet of the live.param~ object at signal rate.

Sending parameter automation data at signal rate