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The dispersion diagrams, same as figure 4, showing two, four and eight ligaments in (a–c), respectively, but with the inclusion radius now 0.7. The resonant fourth mode is almost flat in (a) with the dipole estimate giving a frequency of 2.6303. The crosses on the frequency axis in (a–c) show the estimates (0.88176, 1.24539 and 1.75670, respectively) from (4.3) for the resonant frequency at Γ and the finite-element simulations give 0.7726, 1.1636 and 1.7378.
