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The phrase "a rigid divide between" is correct and usable in written English.
It can be used to describe a clear and inflexible separation or distinction between two or more things.
Example: "There is a rigid divide between those who support the policy and those who oppose it."
Alternatives: "a strict separation between" or "a clear distinction between".
Exact(3)
Perhaps this is down to the skill of its film-makers, a rigid divide between (editorial) church and (advertising) state, or an uncanny knack to pick brand partners that perfectly reflect the demographic.
Mr Cochrane thinks there can be a rigid divide between the safe and risky assets; history suggests that there will also be a market for products that cross this divide.
In France there was a rigid divide between the prestigious grandes écoles and the rest of the higher education system, with few variations among institutions in these categories.
Similar(57)
The figures also illustrate an increasingly rigid divide between the fortunes of these countries and those further north, where the picture is far rosier.
Our group takes pride in our students' ability to straddle the usually rigid divide between statistical analyses and qualitative understanding.
He also did nothing to dispel the impression that he looks upon winning the Presidency as an opportunity to expand his family's business interests, and that he has no intention of establishing any kind of rigid divide between himself and the Trump Organization.
Was there a strict divide between local and Arab cultures?
There's a gap, a chasm, a divide, between them.
The same rigid divide informs a recent manifesto "in defense of science and secularism" signed by such academic luminaries as Daniel C. Dennett, Steven Pinker, Peter Singer and Edward O. Wilson.
Equally pernicious, by general consent, was the rigid status divide between academic and vocational learning.
The upshot is that a rigid racially divided society has become a highly stratified class society.Any visitor can see that this is at least partly true.
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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