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The phrase "a series of variations" is correct and usable in written English.
It can be used when discussing multiple changes or adaptations of a particular theme, idea, or concept.
Example: "The artist presented a series of variations on the original theme, each showcasing a different interpretation of the subject."
Alternatives: "a sequence of variations" or "a collection of variations."
Exact(33)
A vista across the site of Pagan shows a series of variations and combinations of the themes.
Featuring the minimalist piano music of David Lang and Barbara Kruger's strident white-on-red design, the work is a series of variations on meeting and loss.
I got to thinking about the various intersections between games, statistics, musical shapes, rules, frames, and predictions, and began imagining a series of variations.
Cleverly assembled as a sequence of five overlapping stories, "Anagrams" appears at first to give us a series of variations on the characters of Benna and her pal and sometime lover, Gerard.
A thoroughbred man of the theatre, McVicar is rightly determined to empower rather than obscure Britten's score, which slowly but inexorably turns the screw ever tighter with a series of variations on a spooky 12-note theme.
His novel, alternating brief chapters about Celice and Joseph alive and their dead bodies on the beach, is a series of variations that circle and circle and ultimately hold both states in a kind of balance.
Similar(27)
We compared the sequences of AbaR-like RIs in each A. baumannii isolate and found a series of variation events at this locus.
Instead, they posited a dramatic situation subjected to a series of theatrical variations.
In evolution, a series of random variations gives rise to something that appears orderly and designed.
It sounds like a series of subtle variations on the same theme.
A series of 16 variations follows, shifting from pummeling agitation to waltzing, plush elegance -- Mr. Goehr's Fauré moment.
More suggestions(17)
a series of revisions
a collection of variations
a series of interpretations
a series of derivations
a host of variations
a series of alternatives
a series of transitions
a series of contradictions
a series of varied
a series of alternative
a series of variant
a series of variance
a list of variations
a multitude of variations
a lot of variations
a series of subjectivities
a score of variations
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com