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I watched Anton Petrov's last upload on the impossible merger of intermediate mass black holes,(https://www.youtube.com/watch?v=8p6PgXqL6OQ).
Do two orbiting black holes have a gravitational resonant effect that is different than a single object of an equivalent mass?
I haven't watched the video, and I'm not intimately familiar with gravitational resonance, but I did attend a talk on gravitational waves from an astrophysicist the other day, and one of the topics they covered was black hole mergers. Yes, while they're spiraling towards each other, they emit gravitational waves in varying pulses, as they interact.
In terms of actual orbital resonance, that is usually used in reference to two bodies orbiting a third, larger body.