Earth climate, in general, varies on many temporal and spatial scales. In particular, air temperature exhibits recurring patterns and quasi-oscillatory phenomena with different periods.
Although these oscillations are usually weak in amplitude, they might have non-negligible influence on temperature variability on shorter time- scales due to cross-scale interactions, recently observed by Paluš. In this letter, we show how to discern possible cross-scale interactions and, if present, how to quantify their effect on air temperature in Europe.