You are correct, so in German-speaking countries the added note will be designated:
" Ü " (like an upright smiley-face with a BIG grin)
Not to be confused with "Ut" which has been replaced in modern usage, by "Do"
https://en.m.wikipedia.org/wiki/Ut_queant_laxis
Common usage:
https://m.youtube.com/watch?v=zPrI8db74kA
Do-Re-Mi-Fa-Sol-La-Üh-Ti and finally Do will be the new phonetic octave scale in German speaking countries.
Do-Re-Mi-Fa-Sol-La-Ha-Ti & Do in the U.S. and others.
https://m.youtube.com/watch?v=4q1Zs3vbX8M
The added "Ü" (is pronounced "eweh")
https://m.youtube.com/watch?v=y_UJIMJBW88
Music evolves.
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