, that is, the average of the two frequencies. It can be noted that every second burst in the modulation pattern is inverted. Each peak is replaced by a trough and vice versa. However, because the human ear is not sensitive to the phase of a sound, only its amplitude or intensity, only the magnitude of the envelope is heard. Therefore, subjectively, the frequency of the envelope seems to have twice the frequency of the modulating cosine, which means the audible beat frequency is:[5]
Binaural beats are the playing of two sine waves of close, but not the same, frequency into different earpieces of a set of headphones. The "beat" is heard as the brain tries to process them as a distinct sound, while taking into account the constructive/destructive interference. It is said to migrate brain waves to be closer to that frequency, like a sort of biological resonance, which is true. Of course the same can be said for listening to relaxing music help you relax, up tempo music to help you feel energetic, etc...
Cory Allen [b. 1982] is a composer and mastering engineer living in Austin, Texas. His work focuses on the cultivation of human perception with the intent of altering the listener's state of consciousness. Allen's music is deep, patient, meditative, highly-conceptual and often composed by implementing self-organizing structures, rule-based performances, set pitch classes and a wide variety of instruments.
Hi Marko, that isn’t one of my videos you referred to, so I can’t really answer you properly as I don’t know how their track was created. For the best answer, you should really contact the video creator. There isn’t any research that I’ve seen to suggest that you could harm your health by looping a delta track. During a typical sleep cycle, your brainwave activity will usually go up and down between the delta and theta range. It may be that you won’t experience the same quality of sleep if you spend most of your time producing mainly delta activity. With my 8-hour sleep track, I fluctuate the frequency range to try and emulate a typical sleep cycle http://www.mindamend.com/shop/sleeping-and-dreaming/deep-sleep-8-hour-sleep-cycle/.
“In order to get into a flow state, you have to calm a part of the brain, the posterior cingulate cortex, which is the source of what brain scientists call the default state, which is the non-focused state,” says Harris. “At any rate, it turns out that Holosync [binaural beats], when you listen to it, [calms that part of the brain] and so does traditional meditation. It’s just Holosync does it faster and more easily and more effortlessly. It turns down the posterior cingulate cortex and it enhances the other part of the brain that, when it’s enhanced, you can easily go into a flow state.”
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.
In the 1980s, a researcher in Japan, Tsuyoshi Inouye described how light stimulation creates synchronization of brain hemispheres. Since then, other researchers have detailed the positive effects of hemispheric synchronization including a 1984 study by researcher Dr. Gene W. Brockopp stating that hemispheric synchronization resulted in improved intellectual functioning as well as improvements in long-term memory, and these effects are cumulative over time.

A few years ago I was very sick with anxiety. I saw a Psychologist and he recommended the Audio Deep Sleep. I was uncertain at first and falling asleep with the sound sounded odd at first. As I progressed, I became at one with the CD and soon found, if I missed a night I soon missed playing the CD. Over the course of time I have done quite a bit of healing and found I was not using the CD much. Over the past few months I really missed it and found the CD hard to find. It wasn't until I happened upon this site and found the Deep Sleep CD. I played the sample and found myself missing the CD greatly and discovered my brain seemed to miss it just as much. I am grateful to you and just as much as my Doctor has given me my life back to a fair extent, I am am grateful to you as well. :)

The functional role of neural oscillations is still not fully understood;[6] however they have been shown to correlate with emotional responses, motor control, and a number of cognitive functions including information transfer, perception, and memory.[7][8][9] Specifically, neural oscillations, in particular theta activity, are extensively linked to memory function, and coupling between theta and gamma activity is considered to be vital for memory functions, including episodic memory.[10][11][12]
^ Bittman, B. B., Snyder, C., Bruhn, K. T., Liebfreid, F., Stevens, C. K., Westengard, J., and Umbach, P. O., Recreational music-making: An integrative group intervention for reducing burnout and improving mood states in first year associate degree nursing students: Insights and economic impact" International Journal of Nursing Education Scholarship, Vol. 1, Article 12, 2004.

Brainwave Entrainment is an assisted form of meditation using pulses of sound. Entrainment is a process of synchronizing two different beats to become harmonious. Brainwave entrainment works by pulsing a different sound in each ear to stimulate the brain into altered states of consciousness. Examples including Binaural Beats and Isochronic Tones, which are best experienced with headphones to assist with relaxation, deep sleep and focus.
Have you ever had a dream where you realized you were dreaming and then suddenly could control the dream? Many of us have had this experience… once or twice. The rest of us have heard about it and wished we could do it ourselves. It’s called lucid dreaming, and it can be an incredibly rewarding experience, especially if you can enter that state at willdo it more than just the rare time or two. But lucid dreaming on a regular basis is something very few of us can do… on our own.
For many years this principle of entrainment has been used as a part of neurofeedback to help patients change their brain wave patterns in the hope of ameliorating the symptoms of dysregulated brain processes that are hypothesized to contribute to various disorders such as ADHD, anxiety, and depression. There is some evidence that neurofeedback combined with photic stimulation (e.g. Hammond, 2000) can help depression and that auditory and visual stimulation can help cognitive abilities in children with learning disabilities (e.g. Olmstead, 2005). 
One larger and more recent randomized and controlled trial looked at the use of binaural beats in 291 patients admitted to the emergency department at a hospital. The researchers observed significant decreases in anxiety levels in patients exposed to audio with embedded binaural beats compared to those who listened to audio without binaural beats or no audio at all (headphones only).
As we start to fall asleep, we naturally pass through the relaxed, drowsy alpha state, dropping into the sleep states of theta and delta. Dreaming occurs in the theta state, but most of the time when we’re asleep in the theta state, we are unconscious, and unable to consciously control the dreams we experience. When we begin to wake up, our dominant brainwaves pass into the lower alpha wavelengths, but usually as this happens, we wake up out of our dreams. The key to lucid dreaming is to approach the alpha wavelength, but, before you fully wake up, move back down into the dreaming theta state. This way, your subconscious begins to wake up enough for you to take control of your surroundings, but you’re still asleep enough that those surroundings are a wonderfully malleable dream instead of reality.
Going deeper into a trance-like state of meditation, you enter the mysterious Theta state where brain activity slows almost to the point of sleep, but not quite. Theta is one of the more elusive and extraordinary realms you can explore. It is also known as the twilight state which you normally only experience fleetingly upon waking, or drifting off to sleep.
There are differences between high (over 18 hertz), mid (15 to 18 hertz), and low range beta states (12 to 15 hertz). Low beta states are more relaxed while still being focused, making this a good range for many daily work related tasks like balancing a checkbook, making a shopping list, or driving to a new place. However, people with attention deficit disorder lack the mental focus for doing these types of activities, and studies have found people with ADD are often low in this range of beta brainwaves.
Hi Ulka, thanks for your compliment on my article. Unfortunately, I haven’t come across any studies or much discussion about the problem with habituation and isochronic tones and how to overcome it. The consensus among experienced users is to regularly change the frequencies and music soundtracks you listen to. Adding music to the tones does change the waveform you are stimulated with, so that’s one of the main reasons why I provide different soundtracks for my isochronic tones sessions. I have released some tracks which use amplitude modulations in the music, instead of isochronic tones. It might be worth giving them a try if you haven’t already. I have them in a playlist on YouTube https://www.youtube.com/watch?v=Lj5tHl2cuWw&list=PLveg0IEcZWN6OIRZyLkv0BJADY7Q6xFCl.

Binaural beats are created when two tones are played simultaneously, one in each ear. As long as the difference between the two frequencies is less than 30 hertz, the brain perceives the difference in the tones as a “beat” which, if listened to with enough focus, the brain will begin to follow (this is known as the “frequency following response”). By changing the difference between the two beats, the brain will change its wavelength and enter into different “states” of being.
Some studies have found that binaural beats can affect cognitive function positively or negatively, depending on the specific frequency that’s generated. For example, a study of long-term memory found that beta-frequency binaural beats improved memory, while theta-frequency binaural beats interfered with memory. This is something for scientists to continue to examine closely. For people who use binaural beats, it’s important to understand that different frequencies will produce different effects.

There’s a growing body of research suggesting that binaural beats can reduce different forms of anxiety, from mild to chronic. One especially interesting study looked at the effects of binaural beats on anxiety among patients preparing to undergo surgery—a life circumstance that is pretty anxiety provoking for most anyone. Over a period of six months, patients spent 30 minutes on the day of their surgery listening to binaural beats. Compared to patients who listened to a soundtrack that did not include binaural beats—and patients who received no “beats” therapy at all—the binaural beat listeners experienced significantly greater reductions in their anxiety levels.
Theta: This brainwave pattern is associated with deep relaxation and with some stages of sleep, including the lighter stages of non-REM (NREM) sleep. REM sleep itself is mostly composed of beta wave and other activity that’s similar to an alert, waking brain. Deep meditation produces theta waves, which are slower and lower frequency (between 5-8 hertz) than Alpha waves. That murky barrier between sleep and wakefulness, when you’re drifting in and out of sleep, and your thoughts feel dreamlike and difficult to remember? That’s a theta-dominant state of consciousness.
Completely free of spoken words, this program delivers a unique combination of Alpha, Beta, Theta and Delta binaural beats that produce an extraordinary “mind-awake/body-asleep” state through brainwave entrainment. Negative thoughts are dramatically swept away by brilliant flashes of insight and understanding as you experience untold depths of inner peace.

Alpha waves unlock your imagination, bringing creative inspiration from deep within the currents of your own mind. In the Alpha state, awareness expands and fresh creative energy begins to flow. Alpha training helps you tap into higher levels of creativity and is excellent for problem solving, finding new ideas and practicing creative visualization. In Alpha, you can access the wealth of creativity that lies just below your conscious awareness - it is the gateway that leads into deeper states of consciousness.
Binaural beats between 1 and 30 Hz are alleged to create the same brainwave pattern that one would experience during meditation. When you listen to a sound with a certain frequency, your brain waves will synchronize with that frequency. The theory is that binaural beats can help create the frequency needed for your brain to create the same waves commonly experienced during a meditation practice. The use of binaural beats in this way is sometimes called brainwave entrainment technology.
This Brain Wave Subliminal has one 60-minute track. Listen with headphones in bed. Delta waves will help slow down mental activity and heighten receptivity to the subliminal messages. Just slip on your headphones, relax and drift into a deeply refreshing night’s sleep. We find that ear-bud headphones are the most comfortable for listening while sleeping. 
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.
Theta: This brainwave pattern is associated with deep relaxation and with some stages of sleep, including the lighter stages of non-REM (NREM) sleep. REM sleep itself is mostly composed of beta wave and other activity that’s similar to an alert, waking brain. Deep meditation produces theta waves, which are slower and lower frequency (between 5-8 hertz) than Alpha waves. That murky barrier between sleep and wakefulness, when you’re drifting in and out of sleep, and your thoughts feel dreamlike and difficult to remember? That’s a theta-dominant state of consciousness.
^ Jump up to: a b Fox, Kieran C.R.; Nijeboer, Savannah; Dixon, Matthew L.; Floman, James L.; Ellamil, Melissa; Rumak, Samuel P.; Sedlmeier, Peter; Christoff, Kalina (2014). "Is meditation associated with altered brain structure? A systematic review and meta-analysis of morphometric neuroimaging in meditation practitioners". Neuroscience & Biobehavioral Reviews. 43: 48–73. doi:10.1016/j.neubiorev.2014.03.016. PMID 24705269.
Sensorimotor rhythm (SMR) is one final type of brainwave that has been studied. SMR, also known as low beta, is a type of brainwave, which occurs in the sensorimotor cortex, in the 12 to 15 hertz range when that area of the sensorimotor cortex is idle and immobile. The purpose of SMR brainwaves is not well understood, but some neurofeedback practitioners report training to increase SMR brainwaves can be beneficial for people with autism, epilepsy, ADD, insomnia, drug addiction, and as an aide to better manage stress.
You may have experienced Theta right before drifting off to sleep, during a lucid dream, or during a deep meditation. In Theta, you no longer sense the outside world, but you are aware and conscious of your internal world. All of your subconscious fears, hopes and judgments are hidden in the Theta state. Theta is a difficult state to achieve because you often drift out of it very quickly either becoming conscious in Alpha or moving on to the next deeper state. By staying in Theta, you can learn endless information about yourself and your consciousness.
Slip on your headphones, close your eyes and turn out the lights. Within minutes you’ll feel like your brain is being massaged. Soothing Delta frequencies, associated with deep restorative sleep, and subliminal messaging for deep sleep are masterfully woven into gentle music. As your brain cells resonate and your brainwaves entrain with Delta waves, you start to slowly swirl and drift. Delta binaural beats help wash away pestering concerns, allowing you to fall into deep sleep states that bring the refreshing slumber your body and mind need for health, happiness and optimum performance.
Over the centuries people have discovered that repetitious rhythms such as the beating of a drum at a single tone, or chanting, or other methods for producing a single, repetitious rhythm, have been known to produce certain states of consciousness whether deep relaxation, trance, a state of meditation and so on. The rhythms used basically changed the brainwave state of the person listening as long as that person remains open and receptive to the rhythms.
♥ Taking the 16 HZ setting and combining it with a playlist of chilled out deadmau5 songs produces interesting effects, my right arm slowly began tingling and I eventually became rather focused on the task at hand. To be honest, although I don't go in for placebo and homeopathic remedies, the feeling I received from this combo made me feel... Alive... For the first time in a long time. It was nice.