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The phrase "a relatively narrow subset" is correct and usable in written English.
It can be used when discussing a specific, limited portion of a larger group or category.
Example: "In our research, we focused on a relatively narrow subset of the population to ensure more accurate results."
Alternatives: "a limited range" or "a small segment".
Exact(2)
Because spending reductions are being concentrated on a relatively narrow subset of services, the impact on the unringfenced ones is disproportionately great.
The varieties represented a relatively narrow subset of elite genetic material with all but cv.
Similar(58)
CHARIS has a relatively narrow field of view.
Those two are using a relatively narrow definition.
For Mr. Basescu, 60, it was a relatively narrow escape.
These are nifty, but deliver a relatively narrow frequency range.
That gave ABC a relatively narrow window of time.
The diagram pinpoints a relatively narrow regime of porous particles.
This ends up concentrating most of the heat phonons within a relatively narrow "window" of frequencies.
"On their own they have a relatively narrow spectrum of things they can do.
Talks between Mr. Cuomo and Republican senators are said to focus on a relatively narrow issue.
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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