Meditation builds on deep breathing and takes it a step further. When you meditate, your brain enters an area of functioning that’s similar to sleep, but carries some added benefits you can’t achieve as well in any other state, and meditation actually allows you to build greater resilience toward stress over time. Also, the focus on the present moment keeps your mind from working overtime and increasing your stress levels, and from engaging in destructive mental habits such as ​​​rumination. Here's an article on different types of meditation to help you get started.
Beta brainwaves are further divided into three bands; Lo-Beta (Beta1, 12-15Hz) can be thought of as a 'fast idle', or musing. Beta (Beta2, 15-22Hz) is high engagement or actively figuring something out. Hi-Beta (Beta3, 22-38Hz) is highly complex thought, integrating new experiences, high anxiety, or excitement. Continual high frequency processing is not a very efficient way to run the brain, as it takes a tremendous amount of energy. 
Brain wave entrainment is a real phenomenon and is useful as one method of investigating how the brain works. But there is no evidence, nor any theoretical basis, for any long lasting effect on brain function or that there is any benefit of any kind. Despite this, there is a huge industry of devices that claim to train your brain waves and have a beneficial effect. I wouldn’t waste a dime on any such device.

A word to the purist here. This binaural beat generator offers ten carrier frequencies, but humans only have two ears! Therefore, carriers on this generator will produce amplitude-modulated beating patterns inside each ear canal. This is not necessarily a bad thing, as it increases the perception of the overall beating pattern, and helps our brain catch up with the binaural beat. This explains why this generator produces stronger beats than any other available. If you are looking for a pure binaural beat generator instead - one without any intra-aural interference but a weaker stimulus - try our Harmonic Binaural Beat Generator; its carriers have been set to distant frequencies, in order to suppress any amplitude modulation between carriers.
Research shows that listening to soothing music can lower blood pressure, heart rate, and anxiety. “Create a playlist of songs or nature sounds (the ocean, a bubbling brook, birds chirping), and allow your mind to focus on the different melodies, instruments, or singers in the piece,” Benninger says. You also can blow off steam by rocking out to more upbeat tunes -- or singing at the top of your lungs!

There are many advantages and disadvantages with binaural beats. One of the major advantages is hemispheric synchronization. Since both hemispheres are required to create the beat within the brain, this method is an excellent way to create greater harmony between areas of the mind typically functioning independently. Binaural beats are also known to have effective hypnotic and relaxing effects.
The activity of neurons generate electric currents; and the synchronous action of neural ensembles in the cerebral cortex, comprising large numbers of neurons, produce macroscopic oscillations. These phenomena can be monitored and graphically documented by an electroencephalogram (EEG). The electroencephalographic representations of those oscillations are typically denoted by the term 'brainwaves' in common parlance.[4][5]