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
Beware simple answers to complex problems, or easy methods for accomplishing difficult goals. If you combine this maxim with the advice to be skeptical of any claims that are being made in order to sell you something – then ironically you have a simple method (perhaps I should call it an “elegant” method) for protecting yourself from most scams and cons. Actually the application of this combination of maxims can be complex, but what it does do is trigger doubt and skeptical analysis. (And to be clear I am not saying that all simple solutions must be wrong – you should just beware them, meaning your skeptical senses should be tingling.)
Entrainment is a term originally derived from complex systems theory, and denotes the way that two or more independent, autonomous oscillators with differing rhythms or frequencies, when situated in a context and at a proximity where they can interact for long enough, influence each other mutually, to a degree dependent on coupling force, such that they adjust until both oscillate with the same frequency. Examples include the mechanical entrainment or cyclic synchronization of two electric clothes dryers placed in close proximity, and the biological entrainment evident in the synchronized illumination of fireflies.[13]

Binaural beats are auditory brainstem responses which originate in the superior olivary nucleus of each hemisphere. They result from the interaction of two different auditory impulses, originating in opposite ears, below 1000 Hz and which differ in frequency between one and 30 Hz (Oster, 1973).For example, if a pure tone of 400 Hz is presented to the right ear and a pure tone of 410 Hz is presented simultaneously to the left ear, an amplitude modulated standing wave of 10 Hz, the difference between the two tones, is experienced as the two wave forms mesh in and out of phase within the superior olivary nuclei. This binaural beat is not heard in the ordinary sense of the word (the human range of hearing is from 20-20,000 Hz). It is perceived as an auditory beat and theoretically can be used to entrain specific neural rhythms through the frequency-following response (FFR)--the tendency for cortical potentials to entrain to or resonate at the frequency of an external stimulus. Thus, it is theoretically possible to utilize a specific binaural-beat frequency as a consciousness management technique to entrain a specific cortical rhythm.  
As somewhat of a modern mystic, I have studied altered states of consciousness, but due to my monkey mind, I have only been able to experience them to a very minor degree. I have tried so many methods of meditation to little avail. But I became aware that I would not be able to progress in my spiritual life if I could not achieve at least a modicum of success in meditation.
During meditation, people often feel a sense of no space. Scientists investigating the effect of the meditative stateon Buddhist monk's brains have found that portions ofthe organ previously active become quiet, whilst pacified areas become stimulated. Using a brain imaging technique, Dr. Newberg and his team studied a group of Tibetan Buddhist monks as they meditated for approximately one hour. When they reached a transcendental high, they were asked to pull a kite string to their right, releasing an injection of a radioactive tracer. By injecting a tiny amount of radioactive marker into the bloodstream of a deep meditator, the scientists soon saw how the dye moved to active parts of the brain.
The same can be applied to the auditory senses, instead of the visual. Think of when you walk around the city with a friend or relative, have you ever noticed that your steps end up synchronized? Or when you walk with music which just happens to have a walkable tempo, before you know it you’re walking to the beat! This is how some insomniacs get treated. Binaural beats or brainwave entrainment aims to naturally help you synchronize yourself to a desired state of mind.
Theta brainwaves occur most often in sleep but are also dominant in deep meditation. Theta is our gateway to learning, memory, and intuition. In theta, our senses are withdrawn from the external world and focused on signals originating from within. It is that twilight state which we normally only experience fleetingly as we wake or drift off to sleep. In theta we are in a dream; vivid imagery, intuition and information beyond our normal conscious awareness. It’s where we hold our ‘stuff’, our fears, troubled history, and nightmares.
To get a full answer you should really get in touch with the owner of the app, because it does really depend on how their track is constructed and how they intend it to work. I have one 50-minute sleep track which takes you down into delta (http://www.mindamend.com/shop/sleeping-and-dreaming/sleep-induction-isochronic-tones/) and that is designed to just get you to sleep, so you just let play until the end. If you played that track on repeat it might make you jump and wake you up, as the track begins at a higher frequency. I have another 8-hour sleep track which is meant to be played all throughout the night (http://www.mindamend.com/shop/sleeping-and-dreaming/deep-sleep-8-hour-sleep-cycle/). So it does depend on the individual track you are using.
In 1956, the famous neuroscientist W. Gray Walter published the results of studying thousands of test subjects using photic stimulation, showing their change in mental and emotional states. He also learned that photic stimulation not only altered brainwaves, but that these changes were occurring in areas of the brain outside of vision. In Walter’s words:

Theta waves also have been observed in moments when a person recalls information from the past, and this may be what links them also to improvement in learning ability. We also experience theta waves when we go into automatic pilot mode, such as when doing a repetitive task like driving a familiar route where the mind become disconnected while you still drive safely toward your destination.
Meditation is the practice of calming the mind and tuning down the number of random thoughts that pass through it. A regular meditation practice has been shown to reduce stress and anxiety, slow down the rate of brain aging and memory loss, promote emotional health, and lengthen attention span. Practicing meditation regularly can be quite difficult, so people have looked to technology for help.
Go behind the scenes of brainwave entrainment technology creation with Joseph Kao, developer of the extraordinary meditation tool Journey to the Center of the Self. Here, in an interview with John Dupuy, CEO of iAwake Technologies, Joe describes the amazing complexity of the brainwave entraining soundscape he created to both accompany his deeply inductive, 30-minute, guided meditation on the first track of Journey, and also stand alone as a music-only track that holds you in a profoundly relaxed, still, yet clear place on the theta/delta border. To find out all that went into the making of the inductive guided meditation on the first track of Journey, see A Guide to Transpersonal Meditation: Journey to the Center of the Self, part I of this interview.

We’ve all wished at one time or another that we could simply manipulate the rates at which our brains function; “Slow down, it’s time for bed” or “Wake up! Pay attention!” And now we’ve got some good news: thanks to some relatively new technology, and a few relatively old traditions, there actually is a way to manipulate the frequencies of brain waves to help you relax, sleep, meditate, or solve problems.
So my question is: Why? When I read it, I had a bit of a fear of brain aneurysms. Therefore, 1. could someone contact me to tell me why use of your product shouldn’t continue past 2 hours? [I probably won’t heed the reason unless it’s a life or death warning: I love this product that much!] 2. Please feel free to post my letter in your testimonials, if you ever decide to post such customer comments.
Once you have a good recording, start listening to your binaural beats while in bed, and try to be sure you’re undisturbed so your brain can sync up. If you have chronic insomnia, be sure to listen on a regular basis so you train yourself to fall asleep at the same time every night. If you like, you can even invest in a pair of comfortable sleep headphones.

Infra-Low brainwaves (also known as Slow Cortical Potentials), are thought to be the basic cortical rythms that underlie our higher brain functions. Very little is known about infra-low brainwaves. Their slow nature make them difficult to detect and accurately measure, so few studies have been done. They appear to take a major role in brain timing and network function. 
This simple app doesn’t have tons of bells and whistles, but by being just a one-screen app it doesn’t drain your battery or interfere with other apps you might be running. The interface is straightforward and lets you input exactly what binaural beats frequency you want to achieve. This is a great app if you know exactly what you want and you don’t want anything to get in the way of that.
Using new scanning techniques, neuroscientists have discovered that certain areas of the brain light up constantly in Buddhists, which indicates positive emotions and good mood. "We can now hypothesize with some confidence that those apparently happy, calm Buddhist souls one regularly comes across in places such as Dharamsala, India, really are happy,"

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... The goal of the study was to observe the effect of exposure to BB on working memory capacity. As suggested by many studies, BBs corresponding to alpha brain waves can positively influence cognitive processing, namely attention, auditory sequential memory, working memory, working memory storage, and reasoning ability (Carter & Russell, 1993;Cruceanu & Rotarescu, 2013;Foster, 1990;Kennerly, 1994;McMurray, 2006). The results show that a BB of the frequency of 9.55 Hz – which is a representation of the alpha frequency range of the brain activity – had a temporary positive effect on working memory capacity in our sample of healthy, adult university students. ...
In March I started using the CDs that I affectionately call “Meditation for Dummies” and am very pleased with the results so far. My blood pressure has dropped, I am sleeping better and notice that I feel much more calm and less stressed. Instead of feeling that I need to “find the time” in my schedule to meditate, I look forward to that totally relaxing half hour–that peaceful feeling of floating.
If you are reading this, it is likely that your Beta brainwaves are dominating your mind. Beta brainwaves are present when your attention is focused on a problem, whether that is working something complex out in your head, Focusing on a video game or having a conversation with another person. Beta waves are also experienced during anxiety, stress and excitement.2

But we don't need any studies to tell us that different people can listen to different kinds of music and be affected. A lot of people who work out have a workout playlist on their iPod that keeps them energized. Some people listen to certain music to help them fall asleep. The Muzak company has built an industry on relaxing music that will keep people in the mood to shop. Music does affect our mood, and so we already have every reason to expect binaural beat recordings to produce the same effect. Different people may find certain binaural beats to be relaxing or energizing. But, we've never found any reliable indication that a binaural beat's connection to our brain is any deeper or more meaningful than any other music track. We do know for a reasonable certainty that specific claims made by most sellers of binaural beats are not credible, and that there is no reason to think that the effect they're claimed to produce will work for you.
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