# Binaural Beat Frequencies – What Are They?

In math, the moments of an equation are quantitative measures associated with the geometry of the graph of a function. The first moments in an equation to represent the pointwise position of the mass, while the last moments represents the angle of rotation about the axis of symmetry. It can be seen that the moments of an equation are always in a real number. The real number is a scalar value, which changes as a function of time.

Momentums are also called the central limit of distributions. They are measured using the uniform distribution or mean number density. For a normal distribution the moments are distributed by a normal curve. While for other distributions, moments are obtained by calculating the central value over a set interval. The distribution of moments determines the values of all derivatives and integral functions.

The variance of a distribution of moments is also determined by the distribution of moments. The standard deviation defines the range of deviations from the mean value of a mean value distribution. The standard deviation is a mathematical tool for identifying the deviation from a normal distribution. The standard deviation shows the volatility of a variable and its impacts on the mean value of the distribution.

The Delta function is used to determine the deviation of the distribution of moments. The Delta function is a natural log function whose mean value is zero and whose slope is non-zero. The normal curve of a distribution of moments approximates the slope of the Delta function. The calculation of delta function takes the formula:

The formula of moments used to calculate the entrainment parameters of a beat frequency spectrum is formulated using a Taylor rule. This formula is often used to calculate the entrainment parameters of theta rhythms and gamma rhythms. The formula of moments used to calculate the entrainment parameters of binaural beats is formulated using the formula:

The first moments of each cycle in a binaural beat are termed as 0 period, the midpoint of this period is called the trough of that period, the end of the period is known as the transition time and the high point of that period is known as the peak of that period. Therefore, the formula of moments used to calculate the entrainment parameters of binaural beats can be written as: T minus 0(h) where h is the high point of the trough or transition time, T is the high point of the trough or transition time, h is the distance between the low point of the first moment of the first cycle of binaural beat and the high point of the next beat of same beat | moments | second moment | delta} The formula of moments is more convenient than traditional methods because it gives the numbers of significant digits for all beats included in a track. It can be written as: T minus 0(h) where h is the high point of the cycle, T is the low point of the cycle and h is the distance between the low point of the second beat of the same beat in previous beat to the high point of the next beat in the same beat cycle. It is a convenient way for calculating entrainment parameters of binaural beats. The calculation can be done by ear after listening to tracks with the help of headphones. There is another type of binaural beat synchronization called super tone synchronization, which is used to synchronize sounds produced by different instruments separately. 