Temporal dynamics of oscillatory activity are a window into a brain that keeps itself in an equilibrated state where activity neither dies out quickly over time nor avalanches into uncontrolled spiking activity. Such states are generally obtained via self‐organization, balancing excitatory and inhibitory neuronal activity (Atallah & Scanziani, 2009; Bak et al., 1987; Ferguson & Gao, 2018; Levina et al., 2007; Selten et al., 2018). It has been shown that this balancing leads to maximal representational capacity of the neural network (Kinouchi & Copelli, 2006). Temporal correlations in the oscillatory activity of the brain reflect this balanced state (Linkenkaer‐Hansen et al., 2001; Poil et al., 2012), but also show quite some variation in the particular tuning that result in variable levels in the signal autocorrelation. These variable levels reflect the brain's tendency for faster or slower state switching, with consequences for behavior (Palva et al., 2013; Prent & Smit, 2019; Smit et al., 2013) and psychopathology (Linkenkaer‐Hansen, 2005; Montez et al., 2009; Moran et al., 2019; Nikulin et al., 2012). These fast or slow decaying temporal correlations are measurable in