[seqfan] Re: Need suggestions for test for compatible sequences for "voice leading"

Neil Sloane njasloane at gmail.com
Thu Dec 3 21:58:57 CET 2015


I would expect that sequences which are cousins, such as A5, A203, A6520
would work well together,
where two unrelated sequences (Somos-4 = A6720) and Fib = A45, say, would
not..
In fact any two random sequences would be equally incompatible

Best regards
Neil

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 Thu, Dec 3, 2015 at 2:34 PM, Bob Selcoe <rselcoe at entouchonline.net>
wrote:

> Hi Jean-Paul, Neil and Seqfans,
>
> Jean-Paul - assuming this is essentially Neil's question, then it's still
> not clear to me what needs to be avoided or accomplished.  Can you give two
> brief two-sequence "chords", one that is and one that is not "compatible",
> to illustrate the efficiency or parsimony you desire?  Others have
> correctly pointed out some of the basic ambiguities with Neil's question as
> posed; maybe some examples will clarify and get the ball rolling.
>
> Cheers,
> Bob S
>
> --------------------------------------------------
> From: "jean-paul allouche" <jean-paul.allouche at imj-prg.fr>
> Sent: Thursday, December 03, 2015 12:52 PM
> To: <seqfan at list.seqfan.eu>
> Subject: [seqfan] Re: Need suggestions for test for compatible sequences
> for "voice leading"
>
>
> Dear all
>>
>> A related (or is it the same?) question would be, once two reasonably
>> fitting sequences (or more) are found, to do voice leading, i.e., to
>> combine these sequences to build new sequences giving the same
>> "chords" but in a smoother manner (typically, e.g., to avoid crossing
>> hands
>> if playing the piano).
>>
>> best
>> jean-paul
>>
>> Le 03/12/15 17:19, Neil Sloane a écrit :
>>
>>> Dear Seq Fans,
>>>
>>> In musical theory there is the concept of voice leading
>>> (see
>>> http://music.stackexchange.com/questions/14779/what-is-voice-leading )
>>>
>>> Question: suppose we made a series of two-note chords by combining two
>>> sequences A and B. Can one formulate a test to see which pairs of
>>> sequences
>>> (A,B) are compatible, i.e. satisfy the rules for voice leading?
>>>
>>> Best regards
>>> Neil
>>>
>>> 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
>>>
>>> _______________________________________________
>>>
>>> Seqfan Mailing list - http://list.seqfan.eu/
>>>
>>
>>
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>>
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