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A new brain model is introduced, based on the Impulse Pattern Formulation (IPF) already established for modeling and understanding musical instrument and rhythm perception and production. It assumes the brain works with impulses, neural bursts, ejected from an arbitrary reference point in the brain, arriving at other reflecting brain regions, and returning to the reference point delayed and damped. A plasticity model is suggested to adjust reflection strength in time. The model is systematically studied with 50 reflection points by varying the amount of excitatory vs. inhibitory neurons, the presence or absence of plasticity or external sensory input, and the strength of the input and plasticity in terms of system adaptation to an input or to the system itself. The Brain IPF shows adaptation to an external stimulus, which is stronger without plasticity, showing the active brain not being a simple passive \emph{tabula rasa}. A relation of 10-20\% of inhibitory vs. excitatory neurons, as found in the brain, shows a maximum adaptation to an external stimulus compared to all other relations, pointing to an optimum of this relation concerning adaptation. When assuming strong brain periodicities only up to about 100 Hz, the reflection strength of the model is highest for delays of around 300 ms, corresponding to Event-Related Potential (ERP) timescales of brain potentials most often found roughly between 100 - 400 ms. The mean convergence times of the model correspond to short-time memory time scales with a mean of five seconds for converging IPFs. The Brain IPF is computationally very cheap, highly flexible, and with musical instruments already found to be of high predictive precision. Therefore, in future studies, the Brain IPF might be a model able to understand very large systems composed of an ensemble of brains as well as cultural artifacts and ecological entities.