[seqfan] Re: Need suggestions for test for compatible sequences for "voice leading"
acwacw at gmail.com
Thu Dec 3 21:56:27 CET 2015
The executive summary of classical voice-leading rules is that they are not
well defined. To answer in more detail, one would have to read Fux's *Gradus
ad Parnassum* very carefully, concentrating on his "first species" (note
against note). In particular, there are rules that apply to just one voice,
that is, rules of what makes a well-formed melody, which many perfectly
comfortable melodies violate, and almost certainly most of our sequences
(interpreted as half-step numbers?) also violate these well-formedness
Fux was no mathematician, and his lack of rigor will almost certainly have
you tearing your hair out.
On Thu, Dec 3, 2015 at 3:47 PM, jean-paul allouche <
jean-paul.allouche at imj-prg.fr> wrote:
> 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.
>> 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
>>> if playing the piano).
>>> Le 03/12/15 17:19, Neil Sloane a écrit :
>>>> Dear Seq Fans,
>>>> In musical theory there is the concept of voice leading
>>>> 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
>>>> (A,B) are compatible, i.e. satisfy the rules for voice leading?
>>>> Best regards
>>>> Neil J. A. Sloane, President, OEIS Foundation.
>>>> 11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
>>>> Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway,
>>>> Phone: 732 828 6098; home page: http://NeilSloane.com
>>>> Email: njasloane at gmail.com
>>>> Seqfan Mailing list - http://list.seqfan.eu/
>>> Seqfan Mailing list - http://list.seqfan.eu/
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