Because of the way they are created, there may be a positive benefit from listening to binaural beats without considering the brainwave entrainment aspect, but I haven’t seen any research on that. I first discovered brainwave entrainment through binaural beats about 10 years ago now, but they didn’t do anything for me. So I’ve never been a regular user of them. I believe isochronic tones are a more effective way to produce hemispheric synchronisation because they produce a much stronger response in the brain

In physics, entrainment is the process of two oscillating systems coming to assume the same periodic rhythm, such as is observed when two clocks slowly synchronize their ticking and tick together in harmony after some time. Pendulums also achieve this same synchronicity when swinging in close proximity to one another, a phenomenon first observed and written about in 1665 by Christiaan Huygens, a Dutch scientist.
I definitely NEED (& can feel a difference mentally) Gamma the most. Beta and Alpha do better my processing. Theta waves are TERRIBLE! My normal symptoms increase when listening to those frequencies! Delta has been helpful for me around nighttime. It has helped my sleep on occasion. *Note: Do not listen to higher frequencies (Gamma, Beta) before bedtime! They will keep you very alert.
Kelly Howell brings 30 year's experience to her expertise. She has been cited by the Mayo Clinic as "renown for her pioneering work in healing and mind expansion (and) visionary recording techniques." She has collaborated with neuroscientists and biofeedback therapists to invent a sophisticated sound recording technique that makes Brain Sync programs more effective. The result is the most elegant and effective brainwave synchronization audio programs available in the world today. You'll feel the effects from the very first time you listen. With regular use, you'll establish new healthy patterns that last. Brain Sync programs use window frequencies – extremely precise frequencies that fit through narrow biological windows to impact the body at the cellular level. The choice of frequencies selected for each program is based on biofeedback research. Programs are designed to help you self-generate optimized brain states exhibited by remarkable men and women.

“…humans have always been intrigued by the possibilities for influencing mental functioning that emerge from combining rhythmic sound and rhythmic light stimulation. Ancient rituals for entering trance states often involved both rhythmic sounds in the form of drum beats, clapping, or chanting and flickering lights produced by candles, torches, bonfires, or long lines of human bodies passing before the fire and chopping the light into mesmerizing rhythmic flashes. From Greek plays to Western opera, our most popular entertainment forms have made use of combinations of lights and sounds. Some composers, such as the visionary Scriabin, actually created music intended to be experienced in combination with rhythmic light displays.”

"I'm not writing with a question, but to THANK YOU for these CDs. I originally bought The Meditation Program with the intention of returning it, believing it to be nothing more than just 'another piece of hype.' Wow, I was wrong. This was the turning point in my life. You gave me strength, and stability, and literally changed everything around. I feel GREAT, and it's thanks to YOU. Thank you, thank you, THANK YOU for The Meditation Program CDs. I am a true dedicated customer of yours!"

1. Compressed formats like MP3 do not retain the sound quality necessary for the brain to fully achieve brainwave synchronization – and are too inferior to effectively deliver even binaural beats downloads or isochronic tones properly, much less something as powerful as NeuralSync™. Our lossless audio entrains at the precise level guaranteed to induce the most potent response.

4. Be hesitant committing to any BWE system making wild claims. Profit fueled marketers with little to no experience in the BWE field have created a slew of low-quality entrainment systems on the market. These products typically make outrageous promises such as permanently enhancing the brain within minutes of use. Although BWE is a powerful method to improve the mind, it’s not a magic bullet.
It was a few months after the birth of our second child that I came to truly understand the effects of long-term sleep deprivation. Constantly waking up at 1:00 or 3:00 a.m. soon turned daily life into a hazy blur. I'd often find myself lying in bed, anticipating the next round of crying, or later in the night, I'd be tossing and turning for ages after being woken up. It's no fun whatsoever to drag yourself out of bed every morning with dark circles under your eyes. During this time, it became … [Read more...]
Brainwave entrainment is a field of study and endeavor founded in the same physiological and psychological processes that make music, drumming, and chanting so powerful as methods for transforming the mind and spirit and aiding in healing of the body. These processes involve how the electrical energy in our brains synchronizes with sounds and visual stimuli, producing a particular brainwave frequency and its associated mental states. 
4. Be hesitant committing to any BWE system making wild claims. Profit fueled marketers with little to no experience in the BWE field have created a slew of low-quality entrainment systems on the market. These products typically make outrageous promises such as permanently enhancing the brain within minutes of use. Although BWE is a powerful method to improve the mind, it’s not a magic bullet.
Placebos do not work on me. Heck, even some low-mid doses of proven, effective medicine do not work. Or work well. Ever since I fell terribly ill in grade school, my brain had fundamentally changed. Before, I could comprehend anything. Tell me, show me and I understood it – no matter how advanced it was. I was in the top 98th percentile in the nation. BUT, you never know what you have until it is gone!

I also believe that the dangers of brainwave entrainment should be further explored as well. There are relatively vague benefits, but it remains unclear as to whether entraining certain frequencies may be detrimental to performance or induce harm. Despite the fact that brainwave entrainment has existed for a long term, it remains an understudied niche in neuroscience.
a concise P.S. I was in a horrible car accident when I was 18 and had to learn to read and write and walk and talk all over again. It was long ago and I’m pretty well over it, but such an injury has lifetime repercussions. The neurological damage sustained causes my left arm to shake uncontrollably anytime I use it in a situation requiring precise coordination. From simply listening to the demo, the shake [though not disappearing completely in the last 2 months] has lessened dramatically. I had been wondering for years what kind of neurological exercises I could undergo to help it…
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There are primarily three ways to elicit the frequency following response through an audio: binaural beats, monaural beats, and isochronic tones.  Binaural beats was the first method to be discovered, and has been used since the 80’s, after being first made known and popular by Robert Monroe of the Monroe Institute (the institute is still around today, though Mr. Monroe has passed away).  Binaural beats basically work in this way: one specific frequency/beat is played in one ear, let’s say, 1115 hz., while one slightly different frequency is played in the other at the same time, let’s say, 1120 hz.  What the brain will naturally do while exposed to these two frequencies in either ear is create its own “phantom” beat, that is the difference between the two frequencies.  In this case, it would be 5 hz., which is the frequency of the theta brainwave state.  Therefore, your brain would be led into the theta state.  At the same time, your brain working to combine these frequencies also ends up synchronizing its two hemispheres, and functioning in a whole-brained fashion while the listener is using the audio.
Have you ever found yourself in a tough situation where you couldn’t think of a way out? If you have, it might be due to a lack of Alpha brainwave activity. It’s been proven that increased production of these brainwaves allows people to deal with and solve problems at a faster rate and with far fewer difficulties. This is made possible thanks to the brainwave’s ability to get rid of “mental blocks” that prevent solving the problem at hand.

Brainwave entrainment is a colloquialism for such 'neural entrainment', which is a term used to denote the way in which the aggregate frequency of oscillations produced by the synchronous electrical activity in ensembles of cortical neurons can adjust to synchronize with the periodic vibration of an external stimuli, such as a sustained acoustic frequency perceived as pitch, a regularly repeating pattern of intermittent sounds, perceived as rhythm, or of a regularly rhythmically intermittent flashing light.