[PD] pd-based procedural chord progression database..

Kyle Klipowicz kyleklip at gmail.com
Wed Aug 16 07:40:46 CEST 2006


I always preferred the simple explanation that if you play only white
keys on the piano in ascending order, the different modes are based
upon which key you start from.

~Kyle

On 8/16/06, Kyle Klipowicz <kyleklip at gmail.com> wrote:
> Only if you study abstract algebra (and I think that musicians are a
> subset of mathematicians less than the converse).  :-)
>
> ~Kyle
>
> On 8/15/06, Mathieu Bouchard <matju at artengine.ca> wrote:
> > On Tue, 15 Aug 2006, Alexandre Quessy wrote:
> >
> > > All seven modes follow the exact same spacing between degrees. There is
> > > a convention using bows and circumflex accents for respectively tones
> > > and semi-tones.
> >
> > I prefer the digits 2 and 1, which represent the number of semitones
> > between degrees. This is because they are more readily parseable by pd and
> > by other computer systems.
> >
> > > All other modes are just the same intervals starting at an
> > > other point.
> >
> > in other words, let Z denote semitone-multiple intervals, and 12Z denote
> > octave-multiple intervals, then 12Z is an Ideal Subring of Z, so the
> > Quotient Z/12Z is a Ring, which is the chromatic scale. Then take a subset
> > of that chromatic scale that includes its zero (zero represents the
> > fundamental). For example, {0,2,4,5,7,9,11}, which is made of the partial
> > sums of the sequence (2,2,1,2,2,2,1), is the Ionian mode. A mode is a
> > scale that contains its zero. Then define the addition of an interval and
> > a scale: the resulting scale contains each sum of the interval with each
> > element of the scale. The seven ecclesiastic modes appear as each of the
> > sums of the Ionian mode and an interval that results in a mode (that is,
> > that contains the zero).
> >
> > Isn't that clearer? ;)
> >
> > http://en.wikipedia.org/wiki/Ring_%28mathematics%29
> >
> >   _ _ __ ___ _____ ________ _____________ _____________________ ...
> > | Mathieu Bouchard - tél:+1.514.383.3801 - http://artengine.ca/matju
> > | Freelance Digital Arts Engineer, Montréal QC Canada
> >
> > _______________________________________________
> > PD-list at iem.at mailing list
> > UNSUBSCRIBE and account-management -> http://lists.puredata.info/listinfo/pd-list
> >
> >
> >
>
>
> --
>
> http://theradioproject.com
> http://perhapsidid.blogspot.com
>
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>


-- 

http://theradioproject.com
http://perhapsidid.blogspot.com

(((())))(()()((((((((()())))()(((((((())()()())())))
(())))))(()))))))))))))(((((((((((()()))))))))((())))
))(((((((((((())))())))))))))))))))__________
_____())))))(((((((((((((()))))))))))_______
((((((())))))))))))((((((((000)))oOOOOOO




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