[seqfan] Re: Getting an integer sequence for a specific song

Veikko Pohjola veikko at nordem.fi
Tue Jun 18 15:00:21 CEST 2019

Hi Antti and others,

Two years ago I experimented with a set of four mutually related infinite sequences, all in OEIS, for converting them into a kind of polyphonic music in four sounds. The sequences have their own melodic lines originating from the number/pitch relationship of each. The way how the relationships are chosen makes it possible to also enrich somewhat the texture of interplaying sounds. In listening, the algorithmic origin of the result is unavoidable, but the value as a musical composition improves with dynamic tricks and successful choice of instruments, while still keeping the original sequences untouched. The sequences are A293700, A293701, A293704 and A294923. 

It is possible to listen to a fragment of the first 1112 measures of this piece played with an ensemble of piano and three synthetic bass. But I do not think its place is in OEIS even though it is strictly related to central mathematics and those four sequences. This music would last and evolve forever but does that fact make any difference - there is nobody to experience it :-)

Veikko Pohjola

> Antti Karttunen <antti.karttunen at gmail.com> kirjoitti 17.6.2019 kello 12.31:
> On 6/16/19, Felix Fröhlich <felix.froe at gmail.com> wrote:
>> Thanks for the replies.
>> I agree that most popular songs are probably not of mathematical interst to
>> add to the OEIS. I am also not sure complex songs (with a lot of
>> instruments) can accurately be transformed into a sequence, though the
>> basic rhythm probably could be. I had a song in mind from a favorite tv
>> series of mine that has a simple basic rhythm that could most likely be
>> turned into a sequence, but it is probably not of sufficient interest to
>> add to the OEIS.
> I think it's the opposite direction, turning sequences (and other
> mathematical structures) to songs that's much more fertile field in
> the long run.
> For example, the discussion about the longest period of Life-patterns
> on nxn toroidal grid is inspired by this sequence:
> https://oeis.org/A179412
> That pattern generates very nice dynamics / rhythm, when the rows of
> the grid are read in binary and supplied as velocity-values for the
> MIDI-notes, in this music machine I built from an old chess computer
> and whatever parts and components:
> https://www.flickr.com/photos/ermuggo/8118742971/sizes/k/in/pool-2089172@N20/
> Note that the "melody" itself is generated from completely different
> input, FPGA iterating over permutations of eight notes. Together, they
> suffice to generate subtly changing algorithmic music for many days as
> there are LCM(132, 8!) = 443520 rounds before it will repeat itself.
> (Verilog-sources here: https://github.com/karttu/lifemidi )
> Best,
> Antti
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