- #1
nomadreid
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In several places (e.g., page 12 of http://www.cs.williams.edu/~bailey/06le.pdf), I have come across the aperiodic intervals in a one-dimensional Penrose tiling as "musical sequences". I do not see the connection between aperiodicity and music.
The history of a fruitless but amusing search:
(a) The best I could find is that the timbre of a hoarse voice, such as whispering, uses aperiodicity vibrations of the vocal chords, (but that doesn't help.)
(b) Amusingly enough, when I used included the key words "Amman bars", which can be used to generate the 1-d aperiodic tilings, Google gives me primarily sites about pubs in the capital of Jordan.
(c) Martin Gardner (https://www.maa.org/sites/default/files/pdf/pubs/focus/Gardner_PenroseTilings1-1977.pdf) says that Conway invented the name "musical sequence" in this context, but Gardner just labels them "Fibonacci sequences". Then, a search for Conway and Fibonacci Sequences turns up the fact that there is a classical music ensemble called "Fibonacci Sequences" which gave a concert in Conway Hall in London.
So, does anyone know why the name "musical sequence" is appropriate here?
The history of a fruitless but amusing search:
(a) The best I could find is that the timbre of a hoarse voice, such as whispering, uses aperiodicity vibrations of the vocal chords, (but that doesn't help.)
(b) Amusingly enough, when I used included the key words "Amman bars", which can be used to generate the 1-d aperiodic tilings, Google gives me primarily sites about pubs in the capital of Jordan.
(c) Martin Gardner (https://www.maa.org/sites/default/files/pdf/pubs/focus/Gardner_PenroseTilings1-1977.pdf) says that Conway invented the name "musical sequence" in this context, but Gardner just labels them "Fibonacci sequences". Then, a search for Conway and Fibonacci Sequences turns up the fact that there is a classical music ensemble called "Fibonacci Sequences" which gave a concert in Conway Hall in London.
So, does anyone know why the name "musical sequence" is appropriate here?