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I have the same problem. This is being caused by the exhaust and something to do with harmonics. They have ordered a part they call a "band" that they will install on the tailpipe and move it along the length of that pipe until the sound stops.
I have a high speed whine when first started and goes away after obtaining normal operating temps. My mechanic says its due to a new fan clutch I had installed recently. Its packed with silicon gel, and whines for awhile until it warms up, then goes away. This may, or may not be your problem, but sounds reasonable for me.