Cool math fractal

math image

math image

pre-algebra help lessonsalgebra help lessonsprecalculus / calculus help lessonsmath anxiety survival guidegeometry math artmath and jigsaw puzzlesCoolmath booksother math stuff
math help lessonsmath practice problemsmath gamesmath dictionarygeometry trigonometry reference area
teacher's areaparent's areaCoolmath 4 kidsSpike's Game ZoneFinance FREAKTotally Stressed OutScience Monster

Damping Functions   (page 4 of 6)
These pages will explain damping functions and the very cool way they are used in music!

math image

line
Graphing Calculator Scientific Calculator << a new window will open for these
line

Inverse Logarithmic Fades:

Here's an example of an inverse logarithmic fade.

af3.gif (11870 bytes)

We can see the effects of the fade in the next picture.

af3a.gif (6127 bytes)

Here are two examples of possible damping factors for this type of fade:

  and  

But this type of fade isn't used very often. The software doesn't give the engineer control over the rate of the fade. As you can see, it fades out pretty abruptly!

Linear Fades:

Below are two examples of Autumn Fell being linearly faded at different rates. Notice that the damping factor with the steeper slope fades out a lot faster. Engineers can adjust the slope so that the fade sounds just right. Listen to the difference!

af5.gif (11986 bytes) speaker1.gif (364 bytes)

 

af4.gif (11547 bytes) speaker1.gif (364 bytes)

Continued on the next page

 The printing and distribution and/or downloading of these lessons is strictly prohibited.

line
Graphing Calculator Scientific Calculator << a new window will open for these
line
go to the previous page of this algebra lesson

 

go to the next page of this algebra lesson

.....:::::::::::::::  HELP SUPPORT COOLMATH  :::::::::::::::.....
:::::::  link to us   :::::::   advertise with us  :::::::  why we have ads  :::::::

Thanks for visiting Coolmath.com
© 1997-2010 Coolmath.com, Inc.