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The phrase "a substantially higher frequency" is correct and usable in written English.
It can be used when discussing measurements, occurrences, or rates that are significantly greater than a baseline or comparison point.
Example: "The new model operates at a substantially higher frequency than its predecessor, resulting in improved performance."
Alternatives: "a significantly greater frequency" or "a markedly higher frequency".
Exact(9)
Cells cultured on substrates with smaller pitches exhibited a substantially higher frequency of cell alignment and smaller circularity index.
Self-fertilized eggs develop with a substantially higher frequency of anomalies during cleavage than cross-fertilized eggs (23% vs. 1.6%).
Thus, the BrdU studies using diabetic mice support the conclusions drawn using DNA content determination; i.e. compared to mice with normoglycemia, diabetic mice have a substantially higher frequency of BrdU+ β-cells (9-fold).
We experienced less sequencing and alignment problems for atpF atpH than the other non-coding regions; i.e., it has a substantially higher frequency of bidirectional reads, fewer sequencing reads per amplification product, and (compared to trnH-psbA) fewer micro-inversions.
The MICA-A9 triplet repeat polymorphisms were present at a substantially higher frequency in PsA patients [ 60].
EAs are therefore expected to have a substantially higher frequency of rare homozygotes than AAs – 0.006 vs. 0.002, i.e. about three times as many.
Similar(51)
One interesting finding is that introns were present at a substantially high frequency, even though we restricted the expected amplicon length to ∼100 bp during primer design.
Even for satellite communication norms, the Ka band is substantially higher frequency than the Ku band used by many satellites today.
Typical of sub-Saharan Africa, L2a [ 27] is the most frequently observed haplogroup, though at substantially higher frequency in Ghana (see Figure 5).
Subsequent investigations confirmed that patients with XDR TB had substantially higher frequency of unfavorable outcomes than patients with MDR TB (14 – 14 ).
Because electrons have mobilities through silicon that are about three times higher than holes, NMOS transistors can operate at substantially higher frequencies than PMOS transistors.
More suggestions(14)
a much higher frequency
a distinctly higher frequency
a substantially higher degree
a substantially higher incidence
a dramatically higher frequency
a considerably higher frequency
a far higher frequency
a substantially higher recurrence
a substantially higher rate
a substantially higher prevalence
a markedly higher frequency
a substantially higher range
a substantially higher number
a substantially higher percentage
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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