[seqfan] Re: Musical information about a sequence
njasloane at gmail.com
Sun May 24 12:02:55 CEST 2015
Does this refer to A258024? Or is there a related sequence that should
also be added to the OEIS? (A258024 could use a b-file so we can hear it
Neil J. A. Sloane, President, OEIS Foundation.
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com
On Sat, May 23, 2015 at 10:00 PM, Veikko Pohjola <veikko at nordem.fi> wrote:
> Dear seqfans,
> Applying floor(tan(n)) repeatedly, a limiting sequence results composed of
> 0’s and 1’s only. The proportion of 1’s is somewhat over 12% and they
> distribute interestingly forming a repeating pattern. Converting the
> sequence of distances between the positions of 1’s into music (say piano)
> turns it to fascinating music manifesting a steady beat with a theme and
> delicate variations. Counting the number of beats in a sequence of known
> length permits to assess the number of individual sounds (terms) within
> each measure to about 42.
> I am wondering whether such a steady beat could be inherited from the
> periodic nature of the mother function (tan) and if so, should the length
> of the pattern thus be predicted. And in general, are this sort of musical
> findings regarded to belong to recreational domain and not at all to hard
> mathematics, not even when some useful mathematical information could be
> obtained by listening.
> Best regards,
> Veikko Pohjola
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