Master sergeant was a military rank, a traditional infantry or army enlisted grade held by a non-commissioned officer. In comparison to naval ranking systems, this rank was approximately equivalent to the naval chief petty officer or senior chief petty officer grades.

On a planetary duplicate of Earth, a boy named Jahn wore a master sergeant patch, among others, on his jacket. (TOS: "Miri")

The insignia seen on Jahn's jacket was styled like a US Army master sergeant – three chevrons above and three rockers below, with no center insignia – sewn onto US Marine Corps colors, pre-1959 style insignia.
According to the Star Trek Encyclopedia (4th ed., vol. 2, p. 9), major sergeant was a rank in the Military Assault Command Operations in the 2150s. The insignia for this rank was on display in a diagran of MACO rank and insignia.
This chart shows only general equivalencies based on the ranks used by many governments on Earth, as well as the rest of the galaxy.

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