Tower of Babble

In 1996 recreational linguist Ross Eckler composed the following “transdeletion pyramid”:

A N T I C E R E M O N I A L I S T
N O N M A T E R I A L I T I E S
O R N A M E N T A L I T I E S
I N T E R L A M I N A T E S
M A T E R N A L I T I E S
M A T R I L I N E A T E
T R I L A M I N A T E
T E R M I N A L I A
L A T I M E R I A
M A T E R I A L
T A L I E R A
R E T A I L
A L T E R
R A T E
T E A
A T
A

Each word is derived from the one above, dropping one letter and scrambling the rest.