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

Bob Selcoe rselcoe at entouchonline.net
Thu Dec 3 22:12:29 CET 2015


Neil - what specifically are you saying is "compatible" (in a 
"voice-leading" sense) about A203 and A6520?

Cheers,
Bob

--------------------------------------------------
From: "Neil Sloane" <njasloane at gmail.com>
Sent: Thursday, December 03, 2015 2:58 PM
To: "Sequence Fanatics Discussion list" <seqfan at list.seqfan.eu>
Subject: [seqfan] Re: Need suggestions for test for compatible sequences for 
"voice leading"

> 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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