multi-tiered

tiered

[teerd]
adjective
being or arranged in tiers or layers (usually used in combination): a two-tiered box of chocolates.

Origin:
1800–10; tier1 + -ed3

multitiered, adjective
untiered, adjective
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Based on the Random House Dictionary, © Random House, Inc. 2014.
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Word Origin & History

tier
"row, rank, range," 1569, from M.Fr. tire, from O.Fr. tire "rank, sequence, order" (c.1210), probably from tirer "to draw, draw out" (see tirade). Some suggests the O.Fr. noun is from a Gmc. source akin to O.H.G. ziari, Ger. Zier "adornment," O.E. tir "glory, honor."
Online Etymology Dictionary, © 2010 Douglas Harper
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