A covering for an architectural opening, said covering comprising: a roller having a first end and a second end, a width between the first end and the second end, said roller having a central rotational axis; at least one roller outer elongate tape having a first end and a second end opposite said first end, a length along a first central longitudinal axis extending between said first end and said second end, said length selected to correspond to a custom length of said covering, a lateral width, and a thickness; at least one inner elongate tape disposed proximate to said outer elongate tape, said at least one inner elongate tape having a first end and a second end opposite said first end, a length along a second central longitudinal axis extending between said first end and said second end, said length selected to correspond to the custom length of said covering, a lateral width, and a thickness; and a plurality of flexible slats disposed between and coupled to said at least one outer elongate tape and said at least one inner elongate tape, said slats being oriented transversely with respect to said first central longitudinal axis and said second central longitudinal axis when the covering is in an expanded configuration; wherein: said at least one outer elongate tape, said at least one inner elongate tape and said slats together define a subassembly configured to be rolled up, and wherein said slats have a length in a direction transverse to said first central longitudinal axis and said second central longitudinal axis, said slat lengths being longer than said lateral widths of the greater one of said at least one outer elongate tape and said at least one inner elongate tape; and said first end of said at least one outer elongate tape and said first end of said at least one inner elongate tape are coupled to said roller so that rolling of said roller about the central rotational axis thereof rolls said subassembly about said roller, characterized in that the length of at least one of the inner elongate tapes between the roller and an upper most slat is longer than the length of at least one of the outer elongate tapes between the roller and the upper most slat. a roller having a first end and a second end, a width between the first end and the second end, said roller having a central rotational axis; at least one roller outer elongate tape having a first end and a second end opposite said first end, a length along a first central longitudinal axis extending between said first end and said second end, said length selected to correspond to a custom length of said covering, a lateral width, and a thickness; at least one inner elongate tape disposed proximate to said outer elongate tape, said at least one inner elongate tape having a first end and a second end opposite said first end, a length along a second central longitudinal axis extending between said first end and said second end, said length selected to correspond to the custom length of said covering, a lateral width, and a thickness; and a plurality of flexible slats disposed between and coupled to said at least one outer elongate tape and said at least one inner elongate tape, said slats being oriented transversely with respect to said first central longitudinal axis and said second central longitudinal axis when the covering is in an expanded configuration; wherein: said at least one outer elongate tape, said at least one inner elongate tape and said slats together define a subassembly configured to be rolled up, and wherein said slats have a length in a direction transverse to said first central longitudinal axis and said second central longitudinal axis, said slat lengths being longer than said lateral widths of the greater one of said at least one outer elongate tape and said at least one inner elongate tape; and said first end of said at least one outer elongate tape and said first end of said at least one inner elongate tape are coupled to said roller so that rolling of said roller about the central rotational axis thereof rolls said subassembly about said roller, characterized in that the length of at least one of the inner elongate tapes between the roller and an upper most slat is longer than the length of at least one of the outer elongate tapes between the roller and the upper most slat. said at least one outer elongate tape, said at least one inner elongate tape and said slats together define a subassembly configured to be rolled up, and wherein said slats have a length in a direction transverse to said first central longitudinal axis and said second central longitudinal axis, said slat lengths being longer than said lateral widths of the greater one of said at least one outer elongate tape and said at least one inner elongate tape; and said first end of said at least one outer elongate tape and said first end of said at least one inner elongate tape are coupled to said roller so that rolling of said roller about the central rotational axis thereof rolls said subassembly about said roller, characterized in that the length of at least one of the inner elongate tapes between the roller and an upper most slat is longer than the length of at least one of the outer elongate tapes between the roller and the upper most slat.