Good alignment of the magnetic field line pitch angle with the mode structure of an external resonant magnetic perturbation (RMP) field is shown to induce modulation of the pedestal electron pressure p e in high confinement high rotation plasmas at the DIII-D tokamak with a shape similar to ITER, the next step tokamak experiment. This is caused by an edge safety factor q 95 resonant enhancement of the thermal transport, while in contrast, the RMP induced particle pump out does not show a significant resonance. The measured p e reduction correlates to an increase in the modeled stochastic layer width during pitch angle variations matching results from resistive low rotation plasmas at the TEXTOR tokamak. These findings suggest a field line pitch angle resonant formation of a stochastic magnetic edge layer as an explanation for the q 95 resonant character of type-I edge localized mode suppression by RMPs. The impact of periodic perturbations on strongly coupled media reveal common physical features in very different physical states. In the dusty material rings around Saturn, for example, gaps are formed by gravitational resonances between the periodic motion of Saturn's moons and the strongly collisional material of the dynamic outer ring [1]. A comparable resonant mechanism is also employed for fine-tuning of the strong confining magnetic field in tokamak experiments. Here, the edge magnetic field line trajectories are perturbed by an external resonant magnetic perturbation (RMP) field with a mode structure aligned to the magnetic field line pitch angle on selected rational surfaces in the plasma edge. The periodic kicks experienced by the toroidally revolving field lines lead to the formation of an open stochastic system [2] which is a promising candidate for control of the self-organized plasma edge pedestal formed in high confinement (H-mode) plasmas [3]. In this regime, steep edge pressure gradients generate large low frequency type-I edge localized modes (ELMs) [4]. They induce transient outward heat and particle fluxes, which are expected to limit the lifetime of the divertor and first wall in the next step tomakak experiment ITER [5], potentially also degrading the plasma performance by enhanced impurity release. Therefore, the control of the ELM instabilities is a high priority physics issue for ITER. Using a periodic perturbation of the field line trajectories forming a stochastic magnetic edge layer applies a generic physics mechanism for improvement of this man-made high energy state.The complete suppression of type-I ELMs by application of small edge RMP fields, having a dominant toroidal mode number n ¼ 3, was demonstrated at DIII-D [6] and explored for ITER similar shape (ISS) plasmas with high averaged triangularity " $ 0:5 at ITER-relevant, low pedestal electron collisionality à e $ 0:1 [7]. This led to a proposal for a RMP coil set for ITER [8]; for preparation of this undertaking, plans are being made to equip practically every large tokamak in the world with RMP coils. For these projects and th...