We present measurements of the elliptic (mmlsi2" class="mathmlsrc">mulatext 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">v2mathContainer hidden">mathCode"><math altimg="si2.gif" overflow="scroll"><msub><mrow><mi mathvariant="normal">vmi>mrow><mrow><mn>2mn>mrow>msub>math>), triangular (mmlsi3" class="mathmlsrc">mulatext 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">v3mathContainer hidden">mathCode"><math altimg="si3.gif" overflow="scroll"><msub><mrow><mi mathvariant="normal">vmi>mrow><mrow><mn>3mn>mrow>msub>math>) and quadrangular (mmlsi4" class="mathmlsrc">mulatext 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">v4mathContainer hidden">mathCode"><math altimg="si4.gif" overflow="scroll"><msub><mrow><mi mathvariant="normal">vmi>mrow><mrow><mn>4mn>mrow>msub>math>) anisotropic azimuthal flow over a wide range of pseudorapidities (mmlsi5" class="mathmlsrc">mulatext 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<5mathContainer hidden">mathCode"><math altimg="si5.gif" overflow="scroll"><mo>−mo><mn>3.5mn><mo><mo><mi>ηmi><mo><mo><mn>5mn>math>). The measurements are performed with Pb–Pb collisions at mmlsi1" class="mathmlsrc">mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269316303586&_mathId=si1.gif&_user=111111111&_pii=S0370269316303586&_rdoc=1&_issn=03702693&md5=d8ce3f723832d73f2f75919ffd39233c">mg class="imgLazyJSB inlineImage" height="15" width="105" alt="View the MathML source" style="margin-top: -5px; vertical-align: middle" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0370269316303586-si1.gif">mathContainer hidden">mathCode"><math altimg="si1.gif" overflow="scroll"><msqrt><msub><mrow><mi>smi>mrow><mrow><mi mathvariant="normal">NNmi>mrow>msub>msqrt><mo>=mo><mn>2.76mn><mtext> TeVmtext>math> 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 mmlsi6" class="mathmlsrc">mulatext 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)mathContainer hidden">mathCode"><math altimg="si6.gif" overflow="scroll"><msub><mrow><mi mathvariant="normal">vmi>mrow><mrow><mi>nmi>mrow>msub><mo stretchy="false">(mo><mi>ηmi><mo stretchy="false">)mo>math> is largely independent of centrality for the flow harmonics mmlsi7" class="mathmlsrc">mulatext 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=2–4mathContainer hidden">mathCode"><math altimg="si7.gif" overflow="scroll"><mi>nmi><mo>=mo><mn>2mn><mtext>–mtext><mn>4mn>math>, however the higher harmonics fall off more steeply with increasing mmlsi8" class="mathmlsrc">mulatext 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|mathContainer hidden">mathCode"><math altimg="si8.gif" overflow="scroll"><mo stretchy="false">|mo><mi>ηmi><mo stretchy="false">|mo>math>. We assess the validity of extended longitudinal scaling of mmlsi2" class="mathmlsrc">mulatext 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">v2mathContainer hidden">mathCode"><math altimg="si2.gif" overflow="scroll"><msub><mrow><mi mathvariant="normal">vmi>mrow><mrow><mn>2mn>mrow>msub>math> 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.