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Further analysis reveals the following unnamed pairs of even-SOLL cubic and odd-SOLL Tetrahedral pieces with odd SOLLS up to 80. I have decided not to go beyond that so as to avoid the blurring of dualities around Opossum/Ultimatum/Lumel. Pure hex means that I have used the name for use on a 2d hex board. By duality means that it follows from existing logic for equating cubic and Tetrahedral pieces. Spare means simply that the name has no pre-existing Tetrahedral use.

Coordinates	SOLL of cubic piece	SOLL of Tetrahedral piece	Name	Comments
9:2:1	86	43	Thirdmouse	spare
9:3:2	94	47		cf Tesselator
9:4:1	98	49	Sceptic	spare
10:1:1	102	51	Feaster	by duality
9:4:3	106	53	Midwife	spare
9:5:2	110	55		cf Drudge
10:3:1	110	55		cf Drudge
9:6:1	118	59	Highwayman	spare
10:3:3	118	59	Broadwayman	by duality
9:5:4	122	61	Suntrap	pure hex
10:5:1	126	63
11:2:1	126	63
9:7:2	134	67	Gopher	pure hex
10:5:3	134	67		cf Guineapig, Gopher
11:3:2	134	67		cf Guineapig, Gopher
11:4:1	138	69	Gerbil	spare
9:6:5	142	71
9:7:4	146	73		cf Hamster
9:8:1	146	73		cf Hamster
11:4:3	146	73		cf Hamster
12:1:1	146	73	Hamster	by duality
10:7:1	150	75	Petmouse	spare
11:5:2	150	75		cf Petmouse
9:8:3	154	77	Dunnart	spare
12:3:1	154	77		cf Dunnart
10:7:3	158	79	Waxworker	spare
11:6:1	158	79	Mede	spare

So should I try and persevere with naming all these, or would it be going over the top?