hey Sci, mu here, I have a few questions for you
let's divide the sound generated by a piano into volume and timbre. what variables of the wave function determine the timbral characteristics? the hardness or softness of the tone, which is separate from the volume, or the frequency (note) , of the sound
>the hammer is in free fall before it strikes the string
>hitting a key with the nail/bone vs flesh pad
there's a change in the instantaneous velocity of the hammer, when released by the escapement, due (by passive action) to change of the material properties determining the transfer of kinetic energy from finger through the pianos action
muscular activation (active action) adds an additional force to gravity
tone color (timbre) is a production of acceleration, and volume is a product of velocity. you can have the same initial velocity with completely different accelerations during the moments of transfer meaning I can have a soft Forte(loud) and a hard piano (quiet). what this means is there are only so many possible final velocities of the hammer when striking with the nail, and likewise an entirely different set of available velocities when striking with the fleshy pad
this is possible by recruiting the various muscle groups to augment the acceleration otherwise due to gravity, by adding a jerk, the derivitave of acceleration, to the equation
this allows determining the quality of available velocities, via acceleration control, transfered from the finger, through the action, to the hammer, before (initial velocity at fingers contact), and during (accelerations), the time until the key is sunk and the hammer released (final)
let's divide the sound generated by a piano into volume and timbre. what variables of the wave function determine the timbral characteristics? the hardness or softness of the tone, which is separate from the volume, or the frequency (note) , of the sound
>the hammer is in free fall before it strikes the string
>hitting a key with the nail/bone vs flesh pad
there's a change in the instantaneous velocity of the hammer, when released by the escapement, due (by passive action) to change of the material properties determining the transfer of kinetic energy from finger through the pianos action
muscular activation (active action) adds an additional force to gravity
tone color (timbre) is a production of acceleration, and volume is a product of velocity. you can have the same initial velocity with completely different accelerations during the moments of transfer meaning I can have a soft Forte(loud) and a hard piano (quiet). what this means is there are only so many possible final velocities of the hammer when striking with the nail, and likewise an entirely different set of available velocities when striking with the fleshy pad
this is possible by recruiting the various muscle groups to augment the acceleration otherwise due to gravity, by adding a jerk, the derivitave of acceleration, to the equation
this allows determining the quality of available velocities, via acceleration control, transfered from the finger, through the action, to the hammer, before (initial velocity at fingers contact), and during (accelerations), the time until the key is sunk and the hammer released (final)
