The right hemisphere is in most people (>90%) the "non-dominant hemisphere" and is sometimes called the "silent hemisphere" because speech and language functions lie on the other side. However, there are many indications that women, unlike men, also have some speech function located in the right hemisphere. For example, women with a stroke in the left hemisphere and concomitant speech paralysis (aphasia) often have better opportunities, compared to men in the same situation, to regain some ability to speak.
Compared to the left hemisphere, the right hemisphere is considered to have a better spatial perception, greater ability to process several tasks simultaneously, to be more "musical" and "artistic", to have a better intuitive ability, and to be more adept at understanding emotional cues.
The right hemisphere is responsible for the melody of language (prosody) with emphasis, phrasing and emotional charge. The right hemisphere seems to be particularly interested in what is happening in the left half of the field of view and in faces!!
Under normal conditions, the activities in the two hemispheres are extremely well coordinated via signal traffic in the 300-400 million nerve fibers of the brain beam.
The data on the different properties of the hemispheres are based primarily on observations of people born without a brain beam (corpus callosum agenesis) and those where the brain beam for some reason, usually severe worsening epilepsy, has been neurosurgically cut off.
The pioneer scientist in this field is R. W. Sperry, Nobel Prize in 1981.