[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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>
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