A disposable absorbent article in the form of a diaper or absorbent pant, comprising a central chassis structure having a longitudinal axis, front and rear end edges and left and right side edges, and comprising: a liquid permeable topsheet, a liquid impermeable backsheet and an absorbent core disposed between the topsheet and the backsheet; left and right longitudinal barrier cuffs disposed respectively proximate the left and right side edges, each barrier cuff having a base portion joining one or both of the topsheet and backsheet, a longitudinally-oriented, barrier cuff free edge, and a longitudinally elasticized band portion proximate the barrier cuff free edge, the elasticized band portion comprising: a first plurality of laterally-spaced elastic strands, the strands having an Average Decitex no greater than 300 decitex, more preferably no greater than 200 decitex, even more preferably no greater than 150 decitex, and most preferably no greater than 100 decitex, with lateral Average-Strand-Spacing no greater than 3.0 mm, more preferably no greater than 2.0 mm, and even more preferably no greater than 1.0 mm, and most preferably no greater than 0.8 mm; the first plurality of elastic strands being joined with at least a first layer of nonwoven web material; the first plurality of elastic strands having an Average-Pre-Strain no greater than 250 percent, more preferably no greater than 200 percent, even more preferably no greater than 150 percent, and most preferably no greater than 100 percent wherein the Average Decitex, the Average-Strand-Spacing, and the Average Pre-Strain are measured using the methods described herein. a liquid permeable topsheet, a liquid impermeable backsheet and an absorbent core disposed between the topsheet and the backsheet; left and right longitudinal barrier cuffs disposed respectively proximate the left and right side edges, each barrier cuff having a base portion joining one or both of the topsheet and backsheet, a longitudinally-oriented, barrier cuff free edge, and a longitudinally elasticized band portion proximate the barrier cuff free edge, the elasticized band portion comprising: a first plurality of laterally-spaced elastic strands, the strands having an Average Decitex no greater than 300 decitex, more preferably no greater than 200 decitex, even more preferably no greater than 150 decitex, and most preferably no greater than 100 decitex, with lateral Average-Strand-Spacing no greater than 3.0 mm, more preferably no greater than 2.0 mm, and even more preferably no greater than 1.0 mm, and most preferably no greater than 0.8 mm; the first plurality of elastic strands being joined with at least a first layer of nonwoven web material; the first plurality of elastic strands having an Average-Pre-Strain no greater than 250 percent, more preferably no greater than 200 percent, even more preferably no greater than 150 percent, and most preferably no greater than 100 percent a first plurality of laterally-spaced elastic strands, the strands having an Average Decitex no greater than 300 decitex, more preferably no greater than 200 decitex, even more preferably no greater than 150 decitex, and most preferably no greater than 100 decitex, with lateral Average-Strand-Spacing no greater than 3.0 mm, more preferably no greater than 2.0 mm, and even more preferably no greater than 1.0 mm, and most preferably no greater than 0.8 mm; the first plurality of elastic strands being joined with at least a first layer of nonwoven web material; the first plurality of elastic strands having an Average-Pre-Strain no greater than 250 percent, more preferably no greater than 200 percent, even more preferably no greater than 150 percent, and most preferably no greater than 100 percent