1. Only asexual morph produced	T. phialophoroides
1. Sexual morph produced	2
2. Ascospores one-celled	T. arizonensis
2. Ascospores two-celled	3
3. Asci 128-spored	T. setosa
3. Asci 4–8-spored	4
4. Ascospores spinulose to warty	T. verruculosa
4. Ascospores smooth-walled under light microscope	5
5. Lower cell early evanescent	T. allahabadensis
5. Lower cell not evanescent, frequently collapsing	6
6. Lower cell short, conical, or triangular to hemispherical	7
6. Lower cell long, elongate fusiform to cylindrical	8
7. Lower cell conical, ascospores with mucilaginous small appendages at both ends	T. backusii
7. Lower cell triangular to hemispherical, ascospores without mucilaginous appendages	T. bambusae
8. Ascomata non-ostiolate	9
8. Ascomata ostiolate	10
9. Upper cell (11–)12–14.5(–15) × (7.5–)8–9(–9.5) µm	T. longicaudata
9. Upper cell 23.5–35.5 × 17.5–23.5 µm	T. tetraspora
10. Striate ascomata composed of areoles, upper cell up to 23 µm	T. striata
10. Above characters of the ascomata not present, upper cell up to 38 µm	T. anserina/comata/pauciseta complex