The best replacement for inversions is translocations.

The best alternatives to inversions are rated as following:
★★★★★  translocations

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Speaking about inversions, one probably shouldn't forget about 7th chords.

Other search terms related to inversions and their ratings are:
★★★★★ 7th chords
★★★ conditionals
★★ triads
★★ seventh chords
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inversions
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