Keys aren’t higher or lower than one another. You can choose notes so a specific chord is higher or lower than another, but as you mention notes are cyclic, so there is no highest or lowest key.
This gives rise to a cool auditory illusion known as [Shepard’s tone.](https://www.youtube.com/watch?v=BzNzgsAE4F0) By playing a combination of tones that get higher at the same time as introducing low tones and removing high tones, you can give the illusion a tone is getting higher indefinitely.
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