![]() ![]() This system has several advantages it keeps numbers compact (the log of1,000,000 is 6), and there are a variety ofmathematical tricks that can be performed with logarithms. ![]() If Y=10^X, X is the logarithm (base 10) of Y. It is the inverse of an exponentialrelationship. One fact to keep in mind whenever you are confronted with exponential functions:X^0=1 no matter what X is.Ī logarithm is a method of representing large numbers originally developed foruse with mechanical calculators. The two kinds ofrelationship can be shown graphically like this: In this situation, a small change in X will cause a small change in Y, but amoderate change in X will cause a large change in Y. Where k is a number that does not change (a constant).Ī relationship between two parameters is exponential if the expression has thisform: A relationship between two parameters is linear if aconstant ratio exists between the two, in other words, if one is increased, theother is increased a proportianal amount, or in math expression: Many concepts in electronic music involve logarithmic or exponentialrelationships. (P=1/f) Since we often discuss frequencies in the thousands ofHertz, the unit kiloHertz (1000hz=1khz) is very useful. This makes sense if you remember that the periodof a cyclical process, which is a time measured in seconds, is equal to one overthe frequency. hz) which is officially defined asthe reciprocal of one second. In modern usage,the unit of frequency is the Hertz, (abbr. In old literature, you will find thisparameter measured in c.p.s., standing for cycles per second. In dealing with sound, we are constantly concered with frequency, the number oftimes some event occurs within a second. ![]() Here is areview of the concepts you will encounter: Hertz There will be no proofs or rigorous developments, but manyconcepts will be illustrated with graphs and a few simple functions. In orderto discuss and study such sounds with the required accuracy, we must use thetools of mathematics. In electronic music, the sounds are usually unfamiliar, and acomposition may involve some very delicate variations in those sounds. With traditional music, there is a generalunderstanding of what the instruments sound like, so a simple notation of'violin', or 'steel guitar' will convey enough of an aural image for study orperformance. One of the difficult aspects of the study of electronic music is the accuratedescription of the sounds used. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |