[seqfan] Re: "Polyrhythmic" sequences

[Veikko Pohjola]

Bob,
Well, I guess I'm using the same definition for polyrhythmic as it is defined in music and, why not, as does also Robert Walker (see for instance 
http://www.science20.com/robert_inventor).
Cheers,
Veikko


Bob Selcoe kirjoitti 3.2.2016 kello 0.30:

> 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
>>> 
>>> _______________________________________________
>>> 
>>> Seqfan Mailing list - http://list.seqfan.eu/
>> 
>> 
>> _______________________________________________
>> 
>> Seqfan Mailing list - http://list.seqfan.eu/
> 
> _______________________________________________
> 
> Seqfan Mailing list - http://list.seqfan.eu/