Abstract: There is disclosed a silencer for attenuating sound waves produced in a fluid that circulates through a fluid conveyer. The silencer comprises an expansion chamber that is in fluid communication with the fluid conveyer, and which carries sound waves there through; a sound wave dissipater provided with the expansion chamber and arranged to absorb sound waves traveling there through; a resonator operatively associated with the sound wave dissipater and constructed and arranged to cause attenuation and reflection of the sound waves back and forth towards the sound wave dissipater; the expansion chamber having a chamber: conveyer cross-sectional area ratio and chamber length characteristics allowing maximum transmission loss for a given frequency. The expansion chamber has an exit to allow fluid containing attenuated sound waves to escape therefrom.

Abstract: A musical conversion table that uses a new paradigm in understanding music. Most people understand that there are seven notes to an octave and anyone who has seen a keyboard such as a piano has noticed that besides the white keys, there are also black keys. There are in fact 5 black keys for each 7 white keys. This gives a total of twelve notes, not 7 as music has always been teach. This is what complicates matters. In order to simplify matters, this inventor has decided that there are 12 notes. Moreover, this inventor has found a relation between what is known as the <<divine proportion>>, which can be represented by the Fibonacci sequence and the music scale.

Abstract: There is disclosed a silencer for attenuating sound waves produced in a fluid that circulates through a fluid conveyer. The silencer comprises an expansion chamber that is in fluid communication with the fluid conveyer, and which carries sound waves there through; a sound wave dissipater provided with the expansion chamber and arranged to absorb sound waves traveling there through; a resonator operatively associated with the sound wave dissipater and constructed and arranged to cause attenuation and reflection of the sound waves back and forth towards the sound wave dissipater; the expansion chamber having a chamber: conveyer cross-sectional area ratio and chamber length characteristics allowing maximum transmission loss for a given frequency. The expansion chamber has an exit to allow fluid containing attenuated sound waves to escape therefrom.