In Athenaze, the pronunciations of E (ε) and H (η) are given as comparable to the English words get and bed, respectively. Other than H (η) being held longer, in my American English pronunciation there is no real difference between the sound of e in get and bed.
However, Wikipedia lists two different IPA pronunciations:
[e] for E (ε) and
[ɛː] for H. While I'm not very well versed with the IPA, the pages for each of those pronunciations seem to indicate that, in my general American pronunciation, E (ε) is pronounced like may and H (η) is pronounced like bed.
What is the best way to describe the sounds of both vowels for someone with an American English accent?