The phrase "a brief interval of" is correct and usable in written English.
It can be used to describe a short period of time during which something occurs or is experienced.
Example: "After a brief interval of silence, the audience erupted into applause."
Alternatives: "a short period of" or "a fleeting moment of".
Among journalists and intellectuals, a brief interval of exhilaration had given way to depression and fear.
A brief interval of British control during the Napoleonic Wars, ending in 1815, interrupted the second period.
After a brief interval of chaos, he climbs aboard the family Winnebago and embarks on what I fear is intended as a journey of self-discovery.
"One moment, please," said the Trenton operator, After a brief interval of silence, the New York operator went on to say, "That's in Princeton, Operator".
"There was a brief interval of that," Mr. Summers confirmed, before adding, gamely, "I liked it better when I didn't have to see how in shape some of the president's younger aides were".
Saʿūd II died in 1875, and, after a brief interval of chaos, ʿAbd Allāh (as ʿAbd Allāh II) returned to the throne the following year only to find himself powerless against the Rashīdī emirs of Jabal Shammar, with their capital at Ḥāʾil.
Four hours of the stuff, with a brief interval for the audience.
Æthelbald's accession ended Penda's line of descent; Æthelbald's reign was followed, after a brief interval, by that of Offa, another descendant of Eowa.
Out fell a few other mysterious numbers, including a stupendously tiny length of 10-33 centimeter (scientific notation for a billionth of a trillionth of a trillionth of a centimeter) and an unimaginably brief interval of 10-43 second -- the time it takes light to flash across such a narrow gap.
By Baird Leonard The New Yorker, April 19 , 1930P. 62 (The announcer has just finished his synopsis of the Philharmonic's Sunday-afternoon program. A brief interval and strains of majestic music burst forth into the living room where Mr. and Mrs. Blank are seated in receptive attitudes) Turn it down a little, darling.. That's too loud.
Meanwhile, New Orleans continues to ignore research showing that measures like lengthening yellow lights by one or two seconds or adding a brief interval when all of an intersection's lights remain red for a couple seconds vastly improve safety at no cost.
