Interactive visualizations, generally designed for lecture demonstrations.
Visualizations
Often, abstract ideas can be more easily understood when translated into visual terms. Either through teaching duties, or through ordinary curiosity, I often put together visualizations of one sort or another. Here are a few of them. For now the focus is on sound-related visualizations, mainly because they are of use in my acoustics course, but in time I'll develop a broader family of them.
![](assets/images/Waveform.png)
Just intonation
An audio-visual demonstration of just intonation of the musical interval of a perfect fifth, and the imperfect approximation allowed by the twelve-tone equal-tempered scale. I expect to update this visualization soon to add fourths, thirds, and sixths.
![](assets/images/ShuffleGliss.png)
Transharmonic glissandi
Spectrographic exploration of harmonicity (a tool that our brains use to associate pitches to complex waveforms) being slowly broken and restored.
![](assets/images/formantSpectrum.png)
Formants
Fourier synthesis of a sawtooth wave, modulated by
![](assets/images/stringmode.png)
Resonances of an ideal rope
An ideal rope is fixed at one end, and swung at the other, at an adjustable frequency. The resulting
![](assets/images/piercingform.png)
MTW-style Inner Products
A graphical representation of the inner product of a vector and a one-form.