Symmetry?

Isn't it true that one could correctly use the term "symmetry" in both the sense of describing scales in terms of symmetrical semitonic scale steps (like the whole tone scale), or when a just scale has a series of ascending ratios which are mirrored downward from the 2/1 by inversion (1/1, 16/15, 9/8, 6/5, 5/4, 4/3, 7/5, 10/7, 3/2, 8/5, 5/3, 16/9, 15/8, 2/1)?

Regards,

Chamelle
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