When “minute” is used “tiny”, it is pronounced as [mainjut]. But should it be…? I guess some people could say it like [minit], as it is. I wonder people would say wrong if I say it [minit] in the phrase like “in minute detail”.
In this instance, if you use the wrong word/pronunciation the listener will be totally baffled as to what you are saying, not just think that you mispronounced the word.
One additionally thought. @NearlyNapping gives the pronunciation of minute(tiny) as my-noot, which is of course correct, but some of us say it my-nyoot
I think that in some circumstances I might tend to say one or the other, but in reality, with the emphasis on the first syllable and the second being mostly “t”, I don’t think anyone would notice.
Irrelevant fact: Some businesses use names like “Minit Wash”.