ORIGINAL: spindlebox
Maybe I'm thick (and I for one have never suggested that I'm NOT) but this statement:
The signal level stays constant whether the signal is in the left channel, right channel, or set to the middle.
—suggests otherwise.
Unless I'm failing to comprehend a deeper meaning or some hidden inuendo somewhere?
How about an example:
You are sitting in front of a pair of speakers. You send a signal to only the left speaker. You hear that volume level. It is even measurable with a simple dB meter. Now you send the exact same signal to both speakers. Is it louder? Yes, because you now have two speakers producing the same output. By how much? About 3dB. That is the "0dB center, balance control" panning law.
Now, let's say as you go from hard panned on either side to full center you want the perceived volume to be unchanged. The only way to accomplish that is to gradually decrease the signal level as the signal approaches the center. That would be by a full -3dB when fully centered. Now, the volume level (again, measurable with a meter), stays the same when centered (two speakers the same volume as one). That is the "-3dB center, constant power" panning laws (sin/cos or square root taper).
Finally, let's say when you go from full center to hard panned one side you want the volume level to remain unchanged. You would accomplish that by increasing the signal as you pan, to where it is increased 3dB when fully panned (one speaker the same volume as two). That is the "0dB center, constant power" panning laws (Sonar's default is the sin/cos taper version).
Helpful?