Microtonal pathes or object

You will have to be alot more specific. Do you want microtonal synthesis? Transposition? MIDI?
As a general tip, just [scale] your input to 13, 15, 24, etc. and send this information to whatever instrument you are using. If you are using a MIDI instrument, then you will have to use a combination of pitchbend and noteout messages, and duplicate the instrument on various channels.
I did some studies a while back trying to emulate a couple of Harry Partch's instruments; it is pretty straightforward work.

Ah: although the forum programming may tell you that there has been an error, you ARE posting; that is why there are all these duplicates.

Hi!

If you are using MSP, here is a patch that should help you get going
with the basic stuff for equally distanced scales:

If you want to work on non-equally distanced scales, you should check
out Lobjects or funbuff and think of how to use them as lookup tables.
But probably the best route to go would be to investigate the Max
Microtone Tuner:

http://launch.groups.yahoo.com/group/16tone/

Merry Christmas to everyone, and in particular to the 74 elves!
Trond

Dimitris Lambrianos wrote:
> Does anybody know how I can find microtonal pathes or object?
>
> Because I have no Idea how to do it. I especially equal divisions 13-tone, 15-tone, 24-tone e.t.c.
> --
> http://www.dimitrislambrianos.com/

>Does anybody know how I can find microtonal pathes or object?
---------------------------------------

This is not set up for equal divisions of the octave but still may be of interest to you or others reading this thread. My friend Cooper made a java script which filters incoming MIDI data around certain chords. I modified it to filter the data around justly tuned scales and some scales from Indonesia and India (yes, entering the pitch multipliers was TEDIOUS!). First is a little patch to see it in action and second is the java script. Save the script as just_filter.js~ in your Max search path and then fire up the little patch. The script would be easy to modify to do other equal divisions of the octave or other microtoal scales....I'm planning on doing that someday but have not gotten around to it yet.

The scales are from here:
http://www.xs4all.nl/~huygensf/scala/

And you might want to check out this:
http://launch.groups.yahoo.com/group/16tone/

----patch-----

---java script---

inlets = 2;
outlets = 1;

var trans = 0.0;
var note = 0.0;
var type = "0.0";

function bang(x)
{
    outlet(0., note);

}

function list(x)
{
    type = x;
}

function transpose()
{
    note = note + trans;
}

function msg_float(x)
{
    switch (inlet)
    {
        case 0. : inlet_0(x);
            break;
        case 1. : inlet_1(x);
            break;
    }
}

function inlet_1(x)
{
    trans = x;
}

function inlet_0(x)
{
    note = x;
    switch (type)
    {
        case "JustChrom" : justchrom_filter(x);
        break;
        case "JustChrom2" : justchrom2_filter(x);
        break;
        case "JustDia" : justdia_filter(x);
        break;
        case "GradyCentaur" : gradycentaur_filter(x);
        break;
        case "GradyHexany" : gradyhexany_filter(x);
        break;
        case "Tenney" : tenney_filter(x);
        break;
        case "Pelog" : pelog_filter(x);
        break;
        case "PelogA" : peloga_filter(x);
        break;
        case "PelogB" : pelogb_filter(x);
        break;
        case "PelogC" : pelogc_filter(x);
        break;
        case "IndianA" : indiana_filter(x);
        break;
        case "IndianB" : indianb_filter(x);
        break;
        case "IndianC" : indianc_filter(x);
        break;
        case "IndianD" : indiand_filter(x);
        break;
        case "IndianE" : indiane_filter(x);
        break;
    }
    transpose();
    bang();
}

function JustChrom()
{
    type = "JustChrom";
}

function justchrom_filter(x)
{
    var y = x;
    var i = 0;
    while ( x > 11)
    {
        x = x - 12;
        i++;
    }
    if (x == 1)
        x = 1.1173;
    if (x == 2)
        x = 2.3;
    if (x == 3)
        x = 3.156414;
    if (x == 4)
        x = 3.863136;
    if (x == 5)
        x = 4.98045;
    if (x == 6)
        x = 5.825123;
    if (x == 7)
        x = 7.019547;
    if (x == 8)
        x = 8.136864;
    if (x == 9)
        x = 8.84359;
    if (x == 10)
        x = 10.175964;
    if (x == 11)
        x = 10.88269;
    y = x + (i * 12);
    note = y;
}

function JustChrom2()
{
    type = "JustChrom2";
}

function justchrom2_filter(x)
{
    var y = x;
    var i = 0;
    while ( x > 11)
    {
        x = x - 12;
        i++;
    }
    if (x == 1)
        x = 0.706722;
    if (x == 2)
        x = 1.824039;
    if (x == 3)
        x = 2.668709;
    if (x == 4)
        x = 3.863136;
    if (x == 5)
        x = 4.98045;
    if (x == 6)
        x = 5.902237;
    if (x == 7)
        x = 7.019547;
    if (x == 8)
        x = 8.136864;
    if (x == 9)
        x = 9.331337;
    if (x == 10)
        x = 9.688255;
    if (x == 11)
        x = 11.293274;
    y = x + (i * 12);
    note = y;
}

function JustDia()
{
    type = "JustDia";
}

function justdia_filter(x)
{
    var y = x;
    var i = 0;
    while ( x > 11)
    {
        x = x - 12;
        i++;
    }
    if (x < 2)
        x = 0;
    if (x > 1 && x < 4)
        x = 2.3;
    if (x > 3 && x < 5)
        x = 3.863136;
    if (x > 4 && x < 7)
        x = 4.98045;
    if (x > 6 && x < 9)
        x = 7.019547;
    if (x > 8 && x < 11)
        x = 8.84359;
    if (x > 10 && x < 12)
        x = 10.88269;
    y = x + (i * 12);
    note = y;
}

function GradyCentaur()
{
    type = "GradyCentaur";
}

function gradycentaur_filter(x)
{
    var y = x;
    var i = 0;
    while ( x > 11)
    {
        x = x - 12;
        i++;
    }
    if (x == 1)
        x = 0.844672;
    if (x == 2)
        x = 2.0391;
    if (x == 3)
        x = 2.668711;
    if (x == 4)
        x = 3.863136;
    if (x == 5)
        x = 4.98045;
    if (x == 6)
        x = 5.825123;
    if (x == 7)
        x = 7.019547;
    if (x == 8)
        x = 7.649158;
    if (x == 9)
        x = 8.843589;
    if (x == 10)
        x = 9.688255;
    if (x == 11)
        x = 10.882689;
    y = x + (i * 12);
    note = y;
}

function GradyHexany()
{
    type = "GradyHexany";
}

function gradyhexany_filter(x)
{
    var y = x;
    var i = 0;
    while ( x > 11)
    {
        x = x - 12;
        i++;
    }
    if (x == 1)
        x = 1.018669;
    if (x == 2)
        x = 1.824039;
    if (x == 3)
        x = 2.668711;
    if (x == 4)
        x = 4.175083;
    if (x == 5)
        x = 5.36951;
    if (x == 6)
        x = 6.389941;
    if (x == 7)
        x = 7.019547;
    if (x == 8)
        x = 8.213981;
    if (x == 9)
        x = 9.720351;
    if (x == 10)
        x = 10.565021;
    if (x == 11)
        x = 11.37039;
    y = x + (i * 12);
    note = y;
}

function Tenney()
{
    type = "Tenney";
}

function tenney_filter(x)
{
    var y = x;
    var i = 0;
    while ( x > 11)
    {
        x = x - 12;
        i++;
    }
    if (x == 1)
        x = 1.049555;
    if (x == 2)
        x = 2.0391;
    if (x == 3)
        x = 2.975132;
    if (x == 4)
        x = 3.863136;
    if (x == 5)
        x = 4.707808;
    if (x == 6)
        x = 5.51318;
    if (x == 7)
        x = 7.019547;
    if (x == 8)
        x = 7.726275;
    if (x == 9)
        x = 8.405277;
    if (x == 10)
        x = 9.688255;
    if (x == 11)
        x = 9.688255;
    y = x + (i * 12);
    note = y;
}

function Pelog()
{
    type = "Pelog";
}

function pelog_filter(x)
{
    var y = x;
    var i = 0;
    while ( x > 11)
    {
        x = x - 12;
        i++;
    }
    if (x < 2)
        x = 0;
    if (x > 1 && x < 4)
        x = 2.312;
    if (x > 3 && x < 5)
        x = 3.156414;
    if (x > 4 && x < 7)
        x = 4.707808;
    if (x > 6 && x < 9)
        x = 7.019547;
    if (x > 8 && x < 11)
        x = 8.136864;
    if (x > 10 && x < 12)
        x = 9.68826;
    y = x + (i * 12);
    note = y;
}

function PelogA()
{
    type = "PelogA";
}

function peloga_filter(x)
{
    var y = x;
    var i = 0;
    while ( x > 11)
    {
        x = x - 12;
        i++;
    }
    if (x < 2)
        x = 0;
    if (x > 1 && x < 4)
        x = 1.22;
    if (x > 3 && x < 5)
        x = 2.71;
    if (x > 4 && x < 7)
        x = 5.71;
    if (x > 6 && x < 9)
        x = 6.77;
    if (x > 8 && x < 11)
        x = 7.85;
    if (x > 10 && x < 12)
        x = 9.47;
    y = x + (i * 12);
    note = y;
}

function PelogB()
{
    type = "PelogB";
}

function pelogb_filter(x)
{
    var y = x;
    var i = 0;
    while ( x > 11)
    {
        x = x - 12;
        i++;
    }
    if (x < 2)
        x = 0;
    if (x > 1 && x < 4)
        x = 1.18;
    if (x > 3 && x < 5)
        x = 2.53;
    if (x > 4 && x < 7)
        x = 5.25;
    if (x > 6 && x < 9)
        x = 6.59;
    if (x > 8 && x < 11)
        x = 7.72;
    if (x > 10 && x < 12)
        x = 9.45;
    y = x + (i * 12);
    note = y;
}

function PelogC()
{
    type = "PelogC";
}

function pelogc_filter(x)
{
    var y = x;
    var i = 0;
    while ( x > 11)
    {
        x = x - 12;
        i++;
    }
    if (x < 2)
        x = 0;
    if (x > 1 && x < 4)
        x = 1.17;
    if (x > 3 && x < 5)
        x = 2.62;
    if (x > 4 && x < 7)
        x = 5.08;
    if (x > 6 && x < 9)
        x = 6.68;
    if (x > 8 && x < 11)
        x = 7.79;
    if (x > 10 && x < 12)
        x = 9.45;
    y = x + (i * 12);
    note = y;
}

function IndianA()
{
    type = "IndianA";
}

function indiana_filter(x)
{
    var y = x;
    var i = 0;
    while ( x > 11)
    {
        x = x - 12;
        i++;
    }
    if (x < 2)
        x = 0;
    if (x > 1 && x < 4)
        x = 1.83;
    if (x > 3 && x < 5)
        x = 3.42;
    if (x > 4 && x < 7)
        x = 5.33;
    if (x > 6 && x < 9)
        x = 6.85;
    if (x > 8 && x < 11)
        x = 8.71;
    if (x > 10 && x < 12)
        x = 10.74;
    y = x + (i * 12);
    note = y;
}

function IndianB()
{
    type = "IndianB";
}

function indianb_filter(x)
{
    var y = x;
    var i = 0;
    while ( x > 11)
    {
        x = x - 12;
        i++;
    }
    if (x < 2)
        x = 0;
    if (x > 1 && x < 4)
        x = 1.83;
    if (x > 3 && x < 5)
        x = 2.71;
    if (x > 4 && x < 7)
        x = 5.34;
    if (x > 6 && x < 9)
        x = 6.85;
    if (x > 8 && x < 11)
        x = 8.71;
    if (x > 10 && x < 12)
        x = 9.83;
    y = x + (i * 12);
    note = y;
}

function IndianC()
{
    type = "IndianC";
}

function indianc_filter(x)
{
    var y = x;
    var i = 0;
    while ( x > 11)
    {
        x = x - 12;
        i++;
    }
    if (x < 2)
        x = 0;
    if (x > 1 && x < 4)
        x = 1.11;
    if (x > 3 && x < 5)
        x = 3.14;
    if (x > 4 && x < 7)
        x = 5.34;
    if (x > 6 && x < 9)
        x = 6.86;
    if (x > 8 && x < 11)
        x = 8.28;
    if (x > 10 && x < 12)
        x = 10.17;
    y = x + (i * 12);
    note = y;
}

function IndianD()
{
    type = "IndianD";
}

function indiand_filter(x)
{
    var y = x;
    var i = 0;
    while ( x > 11)
    {
        x = x - 12;
        i++;
    }
    if (x < 2)
        x = 0;
    if (x > 1 && x < 4)
        x = 1.74;
    if (x > 3 && x < 5)
        x = 3.5;
    if (x > 4 && x < 7)
        x = 4.77;
    if (x > 6 && x < 9)
        x = 6.97;
    if (x > 8 && x < 11)
        x = 9.08;
    if (x > 10 && x < 12)
        x = 10.7;
    y = x + (i * 12);
    note = y;
}

function IndianE()
{
    type = "IndianE";
}

function indiane_filter(x)
{
    var y = x;
    var i = 0;
    while ( x > 11)
    {
        x = x - 12;
        i++;
    }
    if (x < 2)
        x = 0;
    if (x > 1 && x < 4)
        x = 0.9;
    if (x > 3 && x < 5)
        x = 3.66;
    if (x > 4 && x < 7)
        x = 4.93;
    if (x > 6 && x < 9)
        x = 7.07;
    if (x > 8 && x < 11)
        x = 7.81;
    if (x > 10 && x < 12)
        x = 10.80;
    y = x + (i * 12);
    note = y;
}

I want microtonal synthesis.

Hi Dimitris,

Before providing some suggestions in terms of patching, just a
clarification on the terminology. 'Microtonal' refers to the pitch
set used, and has nothing inherent to do with any particular
synthesis method. Any synth patch that will take a direct float for
frequency can be used with whatever scale you want to use. Patches
that take a MIDI note number for determining frequency can be easily
modified to accept a float instead.

So, are you trying to control a synthesis patch within MaxMSP from an
external MIDI source, or does the control structure originate from
within MaxMSP as well? The answer will inform what strategy you might
need to use.

If you are controlling it via an external MIDI controller (via
[notein], for example) a very simple (though perhaps not very
elegant) method would simply create a table of incoming MIDI note
numbers mapped to the desired frequencies; take a look at [table],
[coll], etc. You'd feed the output from the [notein] into the
[table], and the output from the [table] would be the corresponding
frequency to pass on to the synth patch. If you are using less or
more than 12 tones per octave, you'll need to decide on some way of
mapping physical keys of a standard keyboard onto your 'non-standard'
octave.

If you are creating the control structure within MaxMSP, it's a
simple matter of creating a formula that gives you the frequencies
you desire. There are a number of resources for tuning theory that
discuss formulas for N-tet (equal temperament of N pitches per
octave), just intonation, and numerous other schemes. Have a look at
the following texts, and online sources for some ideas.

William A. Sethares, Tuning, Timbre, Spectrum, Scale, 2nd Ed.,
Springer Verlag 2004
David B. Doty, The Just Intonation Primer, 3rd Ed., Other Music, Inc.
2002
Harry Partch, Genesis of a Music, 2nd Ed., Da Capo 1974

For additional suggested articles, etc. take a look at the reading
list and handouts on the website for my tuning course:

AppliedTuningSystems.html>

Larry Polansky also has some interesting papers and unpublished notes
on his website regarding intonation theory:
follow links to 'miscellaneous
articles, writings' then 'small or unpublished writings' and then
'music related talks' and look at the links for 'Optimal Well
Temperament' 'Two Talks' and 'Harmony Primer'

Good luck, and have fun.

Steven

On Dec 24, 2006, at 1:21 PM, Dimitris Lambrianos wrote:

>
> I want microtonal synthesis.
> --
> http://www.dimitrislambrianos.com/

----
Steven M. Miller

Associate Professor of Contemporary Music
College of Santa Fe
Contemporary Music Program
1600 St. Michaels Drive
Santa Fe NM 87505
http://pubweb.csf.edu/~smill
(505) 473-6197

~~~~~~~~~~~~~~~~~~~~~
SFIFEM
Atrium Sound Space
OVOS
*opportunities for composers & sound artists*

>I want microtonal synthesis.
-----------------------------

I guess I should have asked you questions about what you meant by "microtonal pathes or object" before posting. I just thought that it could be of use in a synth you may have already built.

You want synthesis, well you got it. Poof! Now it's a synth, hehe. :) Mayhaps someone else could think this is interesting? I duuno, just trying to share.

Happy Holidays to everyone -- peace, hope, good stuff...

    http://music.columbia.edu/~brad/holiday2006/

brad

Hi Lewis,

What would be nice is a javascript to directly parse the sala tuning
files to fill-in a coll.
Would you have a such js to share?

Best wishes,
Philippe
--

>> Does anybody know how I can find microtonal patches or object?
> ---------------------------------------
>
> This is not set up for equal divisions of the octave but still may
> be of interest to you or others reading this thread. My friend
> Cooper made a java script which filters incoming MIDI data around
> certain chords. I modified it to filter the data around justly
> tuned scales and some scales from Indonesia and India (yes,
> entering the pitch multipliers was TEDIOUS!). First is a little
> patch to see it in action and second is the java script. Save the
> script as just_filter.js~ in your Max search path and then fire up
> the little patch. The script would be easy to modify to do other
> equal divisions of the octave or other microtoal scales....I'm
> planning on doing that someday but have not gotten around to it yet.
>
> The scales are from here:
> http://www.xs4all.nl/~huygensf/scala/
>
> And you might want to check out this:
> http://launch.groups.yahoo.com/group/16tone/

Guys do you have a patch beacouse I am not very familiar with Java script.