“Screen Flicker Indicated”

A Numeric Score for Chamber Octet. C Flute, Oboe, Bassoon, Alto Flute, Viola, C Trumpet, Coloratura Soprano and Baritone Saxophone.

Bil Smith, Composer

 

Numerical notation has been a resource throughout my work. I use it to score pieces which verbal or graphic notational systems are too indirect.. I utilize verbal notation to draw people into a listening activity. For me, the challenge lies in finding a balance between suggesting a focus and leaving the experience open, but possibly diffuse and generic. I think of this as enticing rather than instructive and have long admired concision and openness it affords to both the performer and listener. Most verbal or graphic scores are by their very nature indeterminate, however, numerical scores impose mathematical inference; a referential identity unique to a graphic or verbal score. They often are created because the music or action cannot be notated by conventional notation. Performers have to be cautious not to impose ideas about structures on a work that does not suggest one. The genesis of this score came about because basically, this work is about the articulation of a given space. In the performance notes, the score specifies tasks to be accomplished, not my ideology of a fixed object. I have no inclination to pin down variables; therefore it is a prescriptively indeterminate platform. In writing numerical scores I take into account the inherent unpredictability of the performance situation, but I am not concerned with the ambiguity of language as such.

To The Performers:

The scores ethos is such that it cannot assert absolute authority and although this is not explicit, the performers must come to an agreement about how they will set about approaching the piece, deciding together and delegating leadership. There is to be one or two leaders who will dictate and direct the pulse and pace of the work. The elements (numerical representations) of the work are based on Gaussian distribution theory. At the very least, each performer will need to acquaint themselves with Gaussian distribution prior to meeting with the other performers. Numerical recall and recognition patterns must be established amongst the performers. A numerical architecture (hierarchy) is to be established by the performers. The duration of the piece is not to exceed 61 minutes. Durations of each sequence of numeric representations will be discussed and determined prior to performance.

Gaussian Distribution In probability theory, the normal (or Gaussian) distribution is a continuous probability distribution, defined by the formula:

The parameter µ in this formula is the mean or expectation of the distribution (and also its median and mode). The parameter σ is its standard deviation; its variance is therefore σ  2. A random variable with a Gaussian distribution is said to be normally distributed and is called a normal deviate.

If µ = 0 and σ = 1, the distribution is called the standard normal distribution or the unit normal distribution, and a random variable with that distribution is a standard normal deviate.

Normal distributions are extremely important in statistics, and are often used in the natural and social sciences for real-valued random variables whose distributions are not known. One reason for their popularity is the central limit theorem, which states that, under mild conditions, the mean of a large number of random variables independently drawn from the same distribution is distributed approximately normally, irrespective of the form of the original distribution. Thus, physical quantities that are expected to be the sum of many independent processes (such as measurement errors) often have a distribution very close to normal. Another reason is that a large number of results and methods (such as propagation of uncertainty and least squares parameter fitting) can be derived analytically, in explicit form, when the relevant variables are normally distributed.

The normal distribution is also the only absolutely continuous distribution all of whose cumulants beyond the first two (i.e. other than the mean and variance) are zero. It is also the continuous distribution with the maximum entropy for a given mean and variance.

The normal distribution is symmetric about its mean, and is non-zero over the entire real line. As such it may not be a suitable model for variables that are inherently positive or strongly skewed, such as the weight of a person or the price of a share. Such variables may be better described by other distributions, such as the log-normal distribution or the Pareto distribution.

The normal distribution is also practically zero once the value x lies more than a few standard deviations away from the mean. Therefore, it may not be appropriate when one expects a significant fraction of outliers, values that lie many standard deviations away from the mean. Least-squares and other statistical inference methods that are optimal for normally distributed variables often become highly unreliable. In those cases, one assumes a more heavy-tailed distribution, and the appropriate robust statistical inference methods.

The normal distributions are a subclass of the elliptical distributions.

The Gaussian distribution is sometimes informally called the bell curve. However, there are many other distributions that are bell-shaped (such as Cauchy's, Student's, and logistic). The terms Gaussian function and Gaussian bell curve are also ambiguous since they sometimes refer to multiples of

the normal distribution whose integral is not 1; that is, for arbitrary positive constants a, b and c.

                         

 

                                        C Flute Oboe Bassoon Alto Flute Viola C Trumpet Coloratura Soprano Baritone Saxophone    

1.49031458083102563705e+2 2.23899054419541198513e+3 -8.39524959812111774227e+2 9.60063846824720940276e+2 1.16535226919515002919e+3 1.22982975083300834740e+3 -8.61640522461900900453e+2 -7.14979170139760640268e+2 3.07681633666760546930e+2 -2.79029868214763496326e+2 3.89815100949763461813e+2 -5.24645074184872100886e+2 6.82830016191439767681e+2 1.97688185662607679660e+2 6.22672975456024232699e+2 -4.75793208436546819939e+2 8.35519119415674140328e+2 5.26723002964388115288e+2 8.34063927606179277063e+2 1.58481261195345098258e+2 -2.89061459337711198714e+2 9.07294682515732461070e+2 1.22246231173172782292e+3 9.39733165043201779554e+2 2.18107812208470932092e+3 8.93864893630039318850e+2 5.34308683053062964063e+2 -1.52703771873902655898e+3 3.35811277713275615042e+2 -2.07618335810792359553e+2 3.17379576238620416007e+2 3.12229223743743702357e+1 1.29842728114006121132e+2 1.32474474782650145244e+3 9.13143090662872509711e+2 3.38861611519542236692e+2 -7.79182819778358521035e+2 4.98917441039315178841e+2 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