> The vowels are pronounced like they are in Spanish, Italian, German, and many other languages ... ok, this is annoying. Can't speak for Italian and Spanish, but in German vowels are pronounced differently depending on context. Later, it says the 'o' is meant to be pronounced like in "moment". Moment is pronounced differently in American and UK English. And neither are like Italian "momento" or like German "Moment".…
The article doesn’t say it, but the pronunciation is identical to Japanese, which I am fond of in general. In college Japanese class we were taught the phrase “ah, we soon get old” for a, i, u, e, and o respectively. I found it to be simple and satisfying.
Lots of the world's languages have exactly five vowels corresponding to [a], [e], [i], [o], [u], but Japanese is a bit unusual in that the Japanese [u] is unrounded, so it can be more precisely (narrowly) transcribed as [ɯ]. Spanish has a more "typical" set of five vowels. You would presumably be understood all right if you used Spanish vowels in Japanese but you wouldn't sound like a native, so pronouncing [ɯ] correctly usually wouldn't be one's first priority in learning Japanese. In Russian and Turkish, on the other hand, you would have to make a distinction between [u] and [ɯ]. (I'm not an authority on any of this; I just dabble in phonetics.)