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

jean-paul allouche jean-paul.allouche at imj-prg.fr
Thu Dec 3 21:47:55 CET 2015

Dear Bob, dear all

Unfortunately I do not have examples from the top of my mind, this
can be a non-easy question (given that we look for musical beauty, not
mathematical aesthetics). A slightly related question was addressed
by Marc Chemillier in the 80's: given a score (actually a tablature) with
interleaving voices, can you automatically decide which one is the main
one, and which one(s) is (are) the accompanying parts, given that there
might be crossings (the main voice is not necssary the upper voice all
the time). I guess we cannot totally avoid ambiguities.


Le 03/12/15 20:34, Bob Selcoe a écrit :
> 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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