Also, D minor is the saddest of all keys.
It's still beautiful to look at though....
I do wish they posted more about how they set this up. It sounds straight forward and if using pure tones should be easily reproduced...
However, you can think of the resonant body of the vessel that contains the water as one half of the interval. It's the relationship being the note and its environment that produces the unique pattern. If the vessel were to change, the image would too. It has nothing to do with the intrinsic value of the note alone.
Would you say these pictures have "nothing to do" with the notes?
http://www.thisiscolossal.com/2013/06/the-visual-patterns-of...
Yes, it is a function of the note/frequency and the medium, not just the note, but that still means they are very much related tot he notes.
In particular you can see the different circular symmetries pretty clearly through the noise.
I agree that the picture may say more about the vessel and the water than the note itself. But then why do the pictures look so different? Was there a different vessel per note?
When the tuner registered a note—reading 220 hertz, the frequency that produces an A, for instance—Louviere stopped adjusting. As each note’s unique vibration induced its characteristic pattern into the water, Brown captured it with her camera. The pair worked together to obtain a “portrait” of each of the 12 notes.
This surface wave reflected reflects of the side walls of the container.
At specific frequencies, the reflected waves will interfere with the generated waves in such a way as to cancel the amplitudes out completely at certain points, and double amplitudes at other points. When these points are stable, the pattern is known as a standing wave.
The standing waves are the patterns shown here. Imperfections in the container, the medium, and the way the sound source is transmitted to the medium make the patterns imperfect. If they were perfected, they would have a more symmetric, kalaidescopic appearance: https://www.google.com/search?q=kaleidoscope&source=lnms&tbm...
Yes they do, in the forms of texture and timbre.
So, in JI you wouldn't simply use 'A' to represent (e.g.) 440Hz, it might be A 4, for the "A" key (or "A" staff position) having a 4 cent difference than ET A.[1]
1. http://lilypondblog.org/wp-content/uploads/2015/11/example.p...