1	"Ray flowers 5 or more (generally 5, 8, or 13)"	2
1	"Ray flowers generally 0--4"	3
2	"Plant 5--15 dm; leaves 4--10 cm, green on faces, +- glabrous; ray white, +- becoming pink"	"Eucephalus engelmannii"
2	"Plant 2--8 dm; leaves <= 6(7) cm, abaxially pale green, +- tomentose, adaxially +- glabrous; ray violet to purple"	"Eucephalus ledophyllus var. covillei"
3	"Ray flowers 0; phyllaries +- equal or unequal, linear to lance-oblong, acute to acuminate"	4
3	"Ray flowers generally > 0 at least on some heads; phyllaries unequal, outer << inner, linear-oblong to ovate, acute"	5
4	"Phyllaries +- equal; largest leaves 2--5 cm; pappus bristles in 1 series, all > 5 mm"	"Eucephalus breweri"
4	"Phyllaries unequal, outer << inner; largest leaves 5--9 cm; pappus bristles in 2 series, inner 5--10 mm, outer (at least a few) +- 1 mm"	"Eucephalus vialis"
5	"Leaves +- glabrous on faces"	"Eucephalus glabratus"
5	"Leaves +- glabrous adaxially, +- densely tomentose abaxially"	"Eucephalus tomentellus"