Hey Data-lovers!

I am writing a high-school paper on Per Nørgård's Infinity series and want to program it in PD, but it just won't work!

Do any of you know how to do so?

All the literature I've read is in danish, so it's difficult for me to explain the concept to you, but the math is like this:

pn[0] = 0
pn[1] = 1

Where 0 is g and 1 is ab; so 1 = one semitone above g and -1 is one semitone below g.

pn[2] = pn[0] - (pn[1] - pn[0])
pn[3] = pn[0] + (pn[1] - pn[0])

pn[4] = pn[2] - (pn[2] - pn[1])
pn[5] = pn[3] - (pn[2] - pn[1])

I hope you understand and that you are able to help. My attachment discolses how far i could get!

Thanks!

Thanks.. Yeah, I forgot. Here you go:

http://www.pdpatchrepo.info/hurleur/U-række_2.pd

Hi,

This makes the trick. Note names are displayed using abstraction notoname found here :
http://puredata.hurleur.com/sujet-3877-midi-number-name

Plug a (virtual ?) midi synth on midi channel 1 and you will hear it.

Thank you, I enjoyed.

Nau

http://www.pdpatchrepo.info/hurleur/norgard.pd

Hi,

This makes the trick. Note names are displayed using abstraction notoname found here :
http://puredata.hurleur.com/sujet-3877-midi-number-name

Plug a (virtual ?) midi synth on midi channel 1 and you will hear it.

Thank you, I enjoyed.

Nau

http://www.pdpatchrepo.info/hurleur/norgard.pd

and here is an "arpeggiator" patch.

Just play in midi notes and this will add the note number to the series to make it play around it. Each new note is again the same series (now you can use three different pairs as seeds (0;1), (O;2) or (0;3)) around a new note.

The patch will output the notes to the Midi output of Pd.

Cheers.

Nau

http://www.pdpatchrepo.info/hurleur/norgarp_2.pd

Thanks Nau. It's really cool, but more advanced than I had expected at first. I am looking forward to use this series on various parameters!

you're welcome.

I nearly finished a diatonic version of this arpeggiator ... two graphical arrays will let you choose the position of the steps in the scale (one for ascending, the other descending) used in conjuction with the series... funny.

That's awesome! Per Nørgård has made various compositions by using the infinity series. You should defernitely research on him.

I've used the series to make organic, rythmic, developing variations in midi-parameters i.ex. dry/wet on a distortion effect.

Indeed.

I've been playing with pd and these series every night since the first post of this topic.

By 'crossing' diatonic schemes (oriental, lydian, melodic,arab, bohemian,...) and 'seed' values I get a nice variety of 'Norgard' arpeggiators.

Nau

Drop some of the music at this thread whenever you're ready!

Here it is ... but it's rather 'sound' than 'music' to me And the soundfile is just a quick terribly unmusical demo try.

The 'depth' is the size of the 'seed' : 2 stands for (0, 2) and 5 stand for (0,5).
In general if the 'seed' is big the result is "wide".
The N°10 depth is special : it plays a scale, up and down to help hearing the current scale used.
Hit 'm' to toggle from Major diatonic to selected 'scale' and vice versa.
Hit 'k' and 'l' to change the 'scale'.
The 'scales' are melodic (the only one here that has a different ascending and descending scheme), oriental, bohemian, lydian, etc...
The 'rnd' toggle lets you to change randomly the 'seed' every new note trig.

Just open 'NorgArp_reloaded_test.pd' and it will listen to midin on ch 4 and send midiout to ch 1 (the NorgArp_reloaded.pd abstraction takes two arguments : midiinchnumber and midioutchnumber).

Known bug : when changing notes the first two notes are played using the "old" keynumber : a kind of unwanted-legato-effect .

Enjoy !

Nau

EDIT : of course, if you want to "bypass" the diatonic scales schemes and use "genuine chromatic" Norgard's series, just "bypass" the 'scalez.pd' abstractions in the patch.
The series are computed with a separated patch and everything is stored in text files, sothat the "arpeggiator" just retrieves these series from the files (I checked the first one against the example found at http://web.archive.org/web/20071010092334/www.pernoergaard.dk/eng/strukturer/uendelig/ukonstruktion05.html , it should be OK).

http://www.pdpatchrepo.info/hurleur/NorgArp.ogg

Here it is ... but it's rather 'sound' than 'music' to me And the soundfile is just a quick terribly unmusical demo try.

The 'depth' is the size of the 'seed' : 2 stands for (0, 2) and 5 stand for (0,5).
In general if the 'seed' is big the result is "wide".
The N°10 depth is special : it plays a scale, up and down to help hearing the current scale used.
Hit 'm' to toggle from Major diatonic to selected 'scale' and vice versa.
Hit 'k' and 'l' to change the 'scale'.
The 'scales' are melodic (the only one here that has a different ascending and descending scheme), oriental, bohemian, lydian, etc...
The 'rnd' toggle lets you to change randomly the 'seed' every new note trig.

Just open 'NorgArp_reloaded_test.pd' and it will listen to midin on ch 4 and send midiout to ch 1 (the NorgArp_reloaded.pd abstraction takes two arguments : midiinchnumber and midioutchnumber).

Known bug : when changing notes the first two notes are played using the "old" keynumber : a kind of unwanted-legato-effect .

Enjoy !

Nau

EDIT : of course, if you want to "bypass" the diatonic scales schemes and use "genuine chromatic" Norgard's series, just "bypass" the 'scalez.pd' abstractions in the patch.
The series are computed with a separated patch and everything is stored in text files, sothat the "arpeggiator" just retrieves these series from the files (I checked the first one against the example found at http://web.archive.org/web/20071010092334/www.pernoergaard.dk/eng/strukturer/uendelig/ukonstruktion05.html , it should be OK).

http://www.pdpatchrepo.info/hurleur/NorgArp.ogg

It's not exactly the infinity series, but i've created some kind of voice generator based on (what i think is) the waveshaping principle. I use a note value to index a table in which related note values are stored. I've uploaded a soundfragment here:

http://www.domxh.net/puredata/voiceExample.mp3

It's a pattern which plays 2 time and around second 46 the automatic voices come in. It sounds kinda arpegiated but it's just a quick example.

If someone's interested i could post the patch as well.

D.

Domien,

it's rather difficult to me to "understand" your sound example, but I'm interrested in trying to "examine" your patch and take an impulse on it !

I love this "back-and-forth" creative suggestions scheme between forum's users. So here is another input, received from a friend of mine two or three month ago.

When you wrote about "related notes values", it reminded me this "Hexagonal toroïd representation" theory you can learn about at

http://www.musimediane.com/numero1/Chouvel-analyse/torehexa.html

Sorry, this is in french :-[

It says (among many other more complicated implications) that if you take a sheet of paper and that you draw on it a "honeycomb" structure with hexagonal tiles, when you place a note value in a given tile and then decide to place two other notes (fifth and major 3rd) next to it in a particuliar fashion, you can name (i.e. 'give a note value to') every other tile of the 'sheet', following a simple rule. At a certain point you see that the 'sheet' can be folded to become a cylinder, wich can again fold itself to become a torus.
Then, anywhere on this "hexagonal torus", any tile is directly 'surrounded' by an 'orbit' made of 3rd and 5ths intervals, made of 'rather consonant' notes (all these notes form all existing triad chords that include the central note), and this orbit is itself surrounded by a second (thus wider) orbit formed by kinda 'contrapuntal' notes.

I made a patch that allows you to individually trig these notes in orbital disposition with a midi kebd, either changing 'central note' whenever a new note is played, or keeping it fixed.

A previous simplier "banged" version can be seen in the image posted.

Anyone interrested tell me.

Nau

http://www.pdpatchrepo.info/hurleur/orbite_1.png