This matches fairly closely (my concept of) Received Pronunciation (which is basically a standardised kind of posh southern English from the early 20th century, still used in dictionaries). The differences are:
* There's no schwa, which the article discusses.
* I don't see the long vowel of "nurse" in the list. Presumably they wrote their pronunciation of that word with four letters. It's three phonemes in RP (of course there's no R pronounced).
* Three diphthongs (the sounds in "pier", "pair" and "poor") are missing. Presumably they wrote their pronunciations of those words with three letters in each (rather than P plus a diphthong, no R unless the following word starts with a vowel).
* They have a diphthong for the sound of "mule" so that word has three letters. I'd think of it as four phonemes: /mju:l/.
* A couple of RP diphthongs (the sounds in "ale" and "ope") are listed as long vowels. Fair enough: they're simple vowels in some English dialects.
* There's no schwa, which the article discusses.
* I don't see the long vowel of "nurse" in the list. Presumably they wrote their pronunciation of that word with four letters. It's three phonemes in RP (of course there's no R pronounced).
* Three diphthongs (the sounds in "pier", "pair" and "poor") are missing. Presumably they wrote their pronunciations of those words with three letters in each (rather than P plus a diphthong, no R unless the following word starts with a vowel).
* They have a diphthong for the sound of "mule" so that word has three letters. I'd think of it as four phonemes: /mju:l/.
* A couple of RP diphthongs (the sounds in "ale" and "ope") are listed as long vowels. Fair enough: they're simple vowels in some English dialects.