You know, all these years this has bothered me and it's time to make my voice heard.
If Kotei were a German word, it would rhyme with "bow-tie".
But it's not, it's Japanese.
https://translate.google.com/#ja/en/kotei
(Follow the link, then hit that Listen icon.)
In the correct pronunciation the second syllable rhymes with "hey".
If this information is unwelcome, please refrain from hating me.