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Mathematikunterricht für Schüler mit Sehschädigung
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Auditive Materials for Teaching Mathematics
Some patterns of numbers are easier to grasp through the auditive channel for blind and sighted people alike. Misaki Yoshitake, a Japanese mathematics teacher for visually impaired students, shows this by his musical version of the rational numbers, that, with his kind permission, I can provide here for download.
Take the number
1/7 =
0,14285714285714285714285714285714285...
Download Midi-File
It has a period of 6 digits. Its periodicity is easily perceived both auditive and visually (by looking at the digits).
Now take
1/19 =
0,05263157894736842105263157894736842...
Download Midi-File
The period of 20 digits is very difficult to see with your eyes, but if you listen to the musical version, it only takes a few repetitions and the pattern emerges.
On the Homepage of Misaki Yoshitake there are more pieces to download, on Pi and on scientific topics among others.