[seqfan] Re: "Polyrhythmic" sequences
Bob Selcoe
rselcoe at entouchonline.net
Tue Feb 2 23:30:34 CET 2016
Hi Viekko,
Sounds interesting - I'm curious to see the results because it's not obvious
to me how A258024 relates to polyrhythmic sequences as defined in A267027.
Best,
Bob
--------------------------------------------------
From: "Veikko Pohjola" <veikko at nordem.fi>
Sent: Tuesday, February 02, 2016 3:58 PM
To: "Sequence Fanatics Discussion list" <seqfan at list.seqfan.eu>
Subject: [seqfan] Re: "Polyrhythmic" sequences
> Hi Bob,
>
> I'm working on polyrhythmic sequences (related to A258024) and hope to
> return after a more general description of the superposed periodicities is
> ready.
>
> Veikko Pohjola
>
>
> Bob Selcoe kirjoitti 2.2.2016 kello 20.38:
>
>> Hi Seqfans,
>>
>> A while ago there was some interest here in relating music to OEIS
>> sequences. Apparently there is a general interest in applying or
>> relating sequences to areas outside of mathematics, music being one such
>> area.
>>
>> In December I proposed using the concept of "polyrhythmic" sequences for
>> this purpose; they combine certain sequences congruent to 1 mod k, which
>> reflect where beats are played in what are called "polyrhythms" in music.
>> Seems to me that this is one of the easiest and most intuitive
>> applications of sequences to music; in general, I think rhythm-related
>> concepts may be easier to apply than melody or harmony-related ones.
>>
>> A267027 is the P(3,4) polyrhythmic sequence; a brief description of the
>> concept is shown there. A047251 is the P(2,3) sequence. As far as I can
>> tell, these are the only two polyrhythmic sequences in OEIS.
>>
>> Since there was very little response to the December post, I took it to
>> mean there was little interest in the idea. If there is some interest,
>> might anyone want to pursue this or perhaps some related ideas further?
>>
>> Cheers,
>> Bob Selcoe
>>
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>>
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>
>
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