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R first and I third gives 26 words, and the two leading branches hold most of the ones you would actually guess.
E takes about thirty eight percent of the box between, A twenty seven, H fifteen and O twelve.
H at fifteen percent is the surprise, since a consonant that high in the box between two fixed letters is unusual.
RAISE, RAILS, RAINS, RAINY and RAIDS carry the A branch and share their first three letters.
REIGN and REINS lead the E branch, which is larger on paper but thinner in words people actually use.
RHINO is the one to know on the H branch, and RUINS covers the U branch on its own.
RAISE is the strongest opener here. Its S and E are the two most common closing letters in the group, and it covers the branch with the most familiar words.
No. RIGID puts I in the second box and G in the third. The I needs to sit one place later.
They differ in the last box, so landing one settles the other. RAINS is the more common of the two.
It is the only H branch word in ordinary use, and its H and N turn up nowhere else among the common entries.