Max can interface with other applications via ReWire. Max can act as either a ReWire host or a ReWire client. Max can be a client to an open host application just by choosing "ad_rewire" as the MSP audio driver in the DSP Status window. Alternatively, you can use Max as the host (mixer) application by including the rewire~ object in your program.
As explained in MSP Tutorial 2, in order to avoid creating clicks in audio when you change the amplitude, you need to interpolate smoothly from one gain value to another. Example A in this patch shows how to use the line~ object to do that. The gain value from the number box is combined with a transition time in the pack object (10 ms in this case) and the two numbers are sent as a list to line~.
The MSP phasor~ object is frequently used as a low-frequency control signal for audio. Because it is often used to control other signals over a specific period of time, phasor~ can use tempo-relative timing, too. The frequency (rate) of a phasor~ is normally specified in Hertz, but you can alternatively give phasor~ a time interval, using tempo-relative time units, and it will use the inverse of that to determine its frequency.
Audio delay is achieved by creating a buffer in which the most recent past sound can be stored. Usually this is called a "ring buffer" or "circular buffer", because when the buffer is filled (with, let's say, the past one second of sound), it loops around and begins refilling itself at the beginning, thus overwriting the sound that was stored more than one second ago.
This patch allows you to try out various filter settings of the biquad~ object, via the filtergraph~ object. For adjusting the parameters you can drag on filtergraph~ with the mouse, or you can send values in its three rightmost inlets for frequency, gain, and Q. The spectroscope~ object tries to draw the spectrum of the signal.
For linear interpolation of a MSP signal, the line~ object sends out a signal that progress to some new value over a certain amount of time interpolating sample-by-sample along the way. The input to line~ is a pair of numbers representing a destination value (where it should eventually arrive) and a transition time (how long it should take to get there). It can receive multiple pairs of numbers in a single message, and it will use the pairs in order, starting each new pair when the previous transition has finished.