We present measurements of the elliptic (rmulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269316303586&_mathId=si2.gif&_user=111111111&_pii=S0370269316303586&_rdoc=1&_issn=03702693&md5=9ca06101309bad52b1ff201bcbd21958" title="Click to view the MathML source">v2), triangular (rmulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269316303586&_mathId=si3.gif&_user=111111111&_pii=S0370269316303586&_rdoc=1&_issn=03702693&md5=4285627d45ccdda4c0d45ff7ed4a256b" title="Click to view the MathML source">v3) and quadrangular (rmulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269316303586&_mathId=si4.gif&_user=111111111&_pii=S0370269316303586&_rdoc=1&_issn=03702693&md5=afabd775fa7380dd028f231d672a093d" title="Click to view the MathML source">v4) anisotropic azimuthal flow over a wide range of pseudorapidities (rmulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269316303586&_mathId=si5.gif&_user=111111111&_pii=S0370269316303586&_rdoc=1&_issn=03702693&md5=8a85b44dae8fb199e19945be549092d8" title="Click to view the MathML source">−3.5<η<5). The measurements are performed with Pb–Pb collisions at using the ALICE detector at the Large Hadron Collider (LHC). The flow harmonics are obtained using two- and four-particle correlations from nine different centrality intervals covering central to peripheral collisions. We find that the shape of rmulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269316303586&_mathId=si6.gif&_user=111111111&_pii=S0370269316303586&_rdoc=1&_issn=03702693&md5=75251f1f46549c175e779ff2b4ae8a8d" title="Click to view the MathML source">vn(η) is largely independent of centrality for the flow harmonics rmulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269316303586&_mathId=si7.gif&_user=111111111&_pii=S0370269316303586&_rdoc=1&_issn=03702693&md5=ea9a291dd8beedf88a13c9103c79334a" title="Click to view the MathML source">n=2–4, however the higher harmonics fall off more steeply with increasing rmulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269316303586&_mathId=si8.gif&_user=111111111&_pii=S0370269316303586&_rdoc=1&_issn=03702693&md5=8f072ec63cf8a21187020234d0a227ae" title="Click to view the MathML source">|η|. We assess the validity of extended longitudinal scaling of rmulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269316303586&_mathId=si2.gif&_user=111111111&_pii=S0370269316303586&_rdoc=1&_issn=03702693&md5=9ca06101309bad52b1ff201bcbd21958" title="Click to view the MathML source">v2 by comparing to lower energy measurements, and find that the higher harmonic flow coefficients are proportional to the charged particle densities at larger pseudorapidities. Finally, we compare our measurements to both hydrodynamical and transport models, and find they both have challenges when it comes to describing our data.