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/* ------------------------- chord ------------------------------------------ */
/* */
/* Tries to detect a chord (or any harmonic relations) of incoming notes. */
/* Written by Olaf Matthes (olaf.matthes@gmx.de) */
/* Get source at http://www.akustische-kunst.org/puredata/maxlib/ */
/* */
/* This program is free software; you can redistribute it and/or */
/* modify it under the terms of the GNU General Public License */
/* as published by the Free Software Foundation; either version 2 */
/* of the License, or (at your option) any later version. */
/* */
/* This program is distributed in the hope that it will be useful, */
/* but WITHOUT ANY WARRANTY; without even the implied warranty of */
/* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the */
/* GNU General Public License for more details. */
/* */
/* You should have received a copy of the GNU General Public License */
/* along with this program; if not, write to the Free Software */
/* Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */
/* */
/* Based on PureData by Miller Puckette and others. */
/* */
/* ---------------------------------------------------------------------------- */
#include "m_pd.h"
#include <stdio.h>
#include <string.h>
#ifndef _WIN32
#include <stdlib.h>
#endif
#define MAX_POLY 32 /* maximum number of notes played at a time */
#define kUnison 0
#define kMaj 1
#define kMin 2
#define kDim 3
#define kAug 4
#define kMaj7 5
#define kDom7 6
#define kMin7 7
#define kHalfDim7 8
#define kDim7 9
#define kMinMaj7 10
#define kMaj7s5 11
#define kMaj7b5 12
#define kDom7s5 13
#define kDom7b5 14
#define kDomb9 15
#define kMaj9 16
#define kDom9 17
#define kMin9 18
#define kHalfDim9 19
#define kMinMaj9 20
#define kDimMaj9 21
#define kMaj9b5 22
#define kDom9b5 23
#define kDom9b13 24
#define kMin9s11 25
#define kmM9b11 26
#define kMaj7b9 27
#define kMaj7s5b9 28
#define kDom7b9 29
#define kMin7b9 30
#define kMinb9s11 31
#define kHalfDimb9 32
#define kDim7b9 33
#define kMinMajb9 34
#define kDimMajb9 35
#define kMaj7s9 36
#define kDom7s9 37
#define kMaj7s11 38
#define kMs9s11 39
#define kHDimb11 40
#define kMaj11 41
#define kDom11 42
#define kMin11 43
#define kHalfDim11 44
#define kDim11 45
#define kMinMaj11 46
#define kDimMaj11 47
#define kMaj11b5 48
#define kMaj11s5 49
#define kMaj11b9 50
#define kMaj11s9 51
#define kMaj11b13 52
#define kMaj11s13 53
#define kM11b5b9 54
#define kDom11b5 55
#define kDom11b9 56
#define kDom11s9 57
#define kHalfDim11b9 58
#define kDom7s11 59
#define kMin7s11 60
#define kDom13s11 61
#define kM7b913 62
#define kMaj7s13 63
#define kMaj9s13 64
#define kM7b9s13 65
#define kDom7b13 66
#define kChrom 67
#define kNone 68
#define kXX -1
static char *version = "chord v0.2, written by Olaf Matthes <olaf.matthes@gmx.de>";
static char* pitch_class[13] = {"C ", "Db ", "D ", "Eb ", "E ", "F ", "Gb ", "G ", "Ab ", "A ", "Bb ", "B ", "no root "};
static char name_class[7] = {'C', 'D', 'E', 'F', 'G', 'A', 'B'};
typedef struct {
int type;
int rootMember;
} t_type_root;
typedef struct chord
{
t_object x_ob;
t_outlet *x_outchordval; /* chord as MIDI note number of base note */
t_outlet *x_outchordclass; /* class of chord's bass note */
t_outlet *x_outchordname; /* chord name, e.g. "Cmajor7" */
t_outlet *x_outchordinversion; /* inversion of the chord (root = 0, 1st = 1, 2nd = 2) */
t_outlet *x_outchordnotes; /* list with note numbers belonging to the chord */
t_int x_pitch;
t_int x_pc[12]; /* pitch class array */
t_int x_abs_pc[12]; /* pitch class array: absolute MIDI note numbers */
t_int x_velo;
t_int x_alloctable[MAX_POLY]; /* a table used to store all playing notes */
t_int x_poly; /* number of notes currently playing */
t_atom x_chordlist[12]; /* list that stores the note numbers for output */
t_int x_split; /* highes note number to process */
t_int x_chord_type; /* chord's type (number between 0 and 68) */
t_int x_chord_root; /* chord's root (pitch class) */
t_int x_chord_bass; /* chord's bass note (MIDI note number) */
t_int x_chord_inversion; /* chord's state of inversion (root, 1st, 2nd) */
} t_chord;
/* functions */
static void chord_kick_out_member(t_chord *x, t_int number, t_int *members);
static void chord_chord_finder(t_chord *x, t_int num_pcs);
static void chord_draw_chord_type(t_chord *x, t_int num_pcs);
static void chord_unison(t_chord *x)
{
int i;
int member = 0;
for(i = 0; i < 12; i++)
if(x->x_pc[i])
{
member = i; // find pitch class
break;
}
x->x_chord_type = 0;
x->x_chord_root = member;
chord_draw_chord_type(x, 1); // output onto the screen
}
static void chord_dyad(t_chord *x)
{
static t_type_root dyads[11] =
{{ kMaj7, 1 }, { kDom7, 1 }, { kMin, 0 }, { kMaj, 0 }, { kMaj, 1 },
{ kDom7 , 0 }, { kMaj, 0 }, { kMaj, 1 }, { kMin, 1 }, { kDom7, 0 }, { kMaj7, 0 }};
register t_type_root* t;
int members[2];
int i, j = 0;
int interval1;
for(i = 0; i < 12; i++)
if(x->x_pc[i]) members[j++] = i; /* load members array with chord pitch classes */
interval1 = members[1] - members[0]; /* calculate interval between first two members */
interval1 = interval1 - 1; /* reduce interval1 to start at zero */
t = &(dyads[interval1]); /* find TypeRoot struct for this interval */
x->x_chord_type = t->type;
if (interval1 == 5)
x->x_chord_root = (members[0]+8)%12;
else
x->x_chord_root = members[t->rootMember];
x->x_chord_inversion = t->rootMember; /* get state of inversion */
chord_draw_chord_type(x, 2); /* output results */
}
static void chord_triad(t_chord *x)
{
static t_type_root triads[10][10] =
{/* interval1 is a half step */
{{ kMaj7b9, 1 }, { kMaj9, 1 }, { kMinMaj7, 1 }, { kMaj7, 1 }, { kDom7s11,2 },
{ kDomb9 , 0 }, { kMaj7, 1 }, { kMaj7s5, 1 }, { kMin9, 2 }, { kMaj7b9, 0 }},
/* interval1 is a whole step */
{{ kMin9, 0 }, { kDom9, 0 }, { kMin7, 1 }, { kDom7, 1 }, { kDom9, 0 },
{ kHalfDim7, 1 }, { kDom7, 1 }, { kDom9, 0 }, { kMaj9, 0 }},
/* interval1 is a minor third */
{{ kMaj7s5, 2 }, { kDom7, 2 }, { kDim, 0 }, { kMin, 0 }, { kMaj, 2 },
{ kDim, 2 }, { kMin7, 0 }, { kMinMaj7, 0 }},
/* interval1 is a major third */
{{ kMaj7, 2 }, { kHalfDim7, 2 }, { kMaj, 0 }, { kAug, 0 }, { kMin, 2 },
{ kDom7, 0 }, { kMaj7, 0 }},
/* interval1 is a perfect fourth */
{{ kDomb9, 1 }, { kDom9, 1 }, { kMin, 1 }, { kMaj, 1 }, { kDom9, 2 },
{ kDom7s11, 1 }},
/* interval1 is an augmented fourth */
{{ kDom7s11, 0 }, { kDom7, 2 }, { kDim, 1 }, { kHalfDim7, 0 }, { kDomb9, 2 }},
/* interval1 is a perfect fifth */
{{ kMaj7, 2 }, { kMin7, 2 }, { kDom7, 0 }, { kMaj7, 0 }},
/* interval1 is a minor sixth */
{{ kMinMaj7, 2 }, { kDom9, 1 }, { kMaj7s5, 0 }},
/* interval1 is a major sixth */
{{ kMaj9, 2 }, { kMin9, 1 }},
/* interval1 is a minor seventh */
{{ kMaj7b9, 2 }}
};
register t_type_root* t;
int members[3];
int i, j = 0;
int interval1, interval2;
for(i = 0; i < 12; i++)
if(x->x_pc[i]) members[j++] = i; /* load members array with chord pitch classes */
interval1 = members[1] - members[0]; /* calculate interval between first two members */
interval2 = members[2] - members[0]; /* calculate interval between first and third */
interval2 = interval2 - interval1 - 1; /* reduce interval2 to start at zero */
interval1 = interval1 - 1; /* reduce interval1 to start at zero */
t = &(triads[interval1][interval2]); /* find TypeRoot struct for this interval vector */
x->x_chord_type = t->type;
x->x_chord_root = members[t->rootMember];
switch(t->rootMember) { /* get state of inversion */
case 0:
x->x_chord_inversion = 0;
break;
case 1:
x->x_chord_inversion = 2;
break;
case 2:
x->x_chord_inversion = 1;
}
chord_draw_chord_type(x, 3); /* output onto the screen */
}
static void chord_quartad(t_chord *x)
{
static t_type_root quartads[9][9][9] =
{
{/* interval1 is a half step */
{/* interval2 is a whole step */
{ kM7b9s13, 2 }, { kMinMajb9,1 }, { kMaj7b9, 1 }, { kMaj7s13, 2 }, { kDimMajb9, 1 },
{ kMaj7b9, 1 }, { kMaj7s13, 2 }, { kM7b913, 1 }, { kM7b9s13, 1 }},
{/* interval2 is a minor third */
{ kMinMaj9, 1 }, { kMaj9, 1 }, { kHalfDimb9,0 }, { kMin7b9, 0 }, { kMaj9, 1 },
{ kDim7b9, 0 }, { kMin7b9, 0 }, { kMinMajb9, 0 }},
{/* interval2 is a major third */
{ kMaj7s9, 1 }, { kDom7s11, 3 }, { kDomb9, 0 }, { kMinMaj7, 1 }, { kDom7s9, 3 },
{ kDomb9, 0 }, { kMaj7b9, 0 }},
{/* interval2 is a perfect fourth */
{ kMaj11, 1 }, { kMaj7b5, 1 }, { kMaj7, 1 }, { kMaj7s5, 1 }, { kMin9, 3 },
{ kMaj7s13, 1 }},
{/* interval2 is a tritone */
{ kDimMaj9, 3 }, { kDom11, 3 }, { kDim7b9, 0 }, { kHalfDimb9,0 }, { kDimMajb9, 0 }},
{/* interval2 is a perfect fifth */
{ kMaj11, 3 }, { kDom7s9, 3 }, { kDomb9, 0 }, { kMaj7b9, 0 }},
{/* interval2 is a minor sixth */
{ kMaj7s9, 3 }, { kMin9, 3 }, { kMaj7s13, 1 }},
{/* interval2 is a major sixth */
{ kMinMaj9, 3 }, { kM7b913, 0 }},
{/* interval2 is a minor seventh */
{ kM7b9s13, 0 }}
},
{/* interval1 is a whole step */
{/* interval2 is a minor third */
{ kM7b913, 2 }, { kMin7b9, 1 }, { kDomb9, 1 }, { kMin9, 0 }, { kHalfDimb9,1 },
{ kDomb9, 1 }, { kMin9, 0 }, { kMinMaj9, 0 }},
{/* interval2 is a major third */
{ kMin9, 1 }, { kDom9, 1 }, { kDom9, 0 }, { kDom7s5, 2 }, { kDom9, 1 },
{ kDom9, 0 }, { kMaj9, 0 }},
{/* interval2 is a perfect fourth */
{ kDom7s9, 1 }, { kDom11, 3 }, { kHalfDim7, 1 }, { kMin7, 1 }, { kDom9, 3 },
{ kHalfDimb9,3 }},
{/* interval2 is a tritone */
{ kDom11, 1 }, { kDom7b5, 3 }, { kDom7, 1 }, { kDom7s5, 1 }, { kMin7b9, 3 }},
{/* interval2 is a perfect fifth */
{ kMaj7b5, 3 }, { kDom11, 1 }, { kDom9, 0 }, { kMaj9, 0 }},
{/* interval2 is a minor sixth */
{ kDom7s11, 1 }, { kDom9, 3 }, { kDim7b9, 3 }},
{/* interval2 is a major sixth */
{ kMaj9, 3 }, { kMin7b9, 3 }},
{/* interval2 is a minor seventh */
{ kMinMajb9, 3 }}
},
{/* interval1 is a minor third */
{/* interval2 is a major third */
{ kMaj7s13, 3 }, { kDim7b9, 1 }, { kDom7s9, 0 }, { kMaj7s5, 2 }, { kDim7b9, 1 },
{ kDom7s9, 0 }, { kMaj7s9, 0 }},
{/* interval2 is a perfect fourth */
{ kDomb9, 2 }, { kDom9, 2 }, { kMin7, 2 }, { kDom7, 2 }, { kDom11, 2 },
{ kDom7s11, 2 }},
{/* interval2 is a tritone */
{ kDim7b9, 2 }, { kDom7, 3 }, { kDim7, 0 }, { kHalfDim7, 0 }, { kDomb9, 3 }},
{/* interval2 is a perfect fifth */
{ kMaj7, 3 }, { kHalfDim7,3 }, { kMin7, 0 }, { kMinMaj7, 0 }},
{/* interval2 is a minor sixth */
{ kDomb9, 2 }, { kDom9, 2 }, { kDom7s9, 2 }},
{/* interval2 is a major sixth */
{ kHalfDimb9,2 }, { kDomb9, 3 }},
{/* interval2 is a minor seventh */
{ kMaj7b9, 3 }}
},
{/* interval1 is a major third */
{/* interval2 is a perfect fourth */
{ kMaj7b9, 2 }, { kMaj9, 2 }, { kMinMaj7, 2 }, { kMaj7, 2 }, { kDom11, 0 },
{ kMaj11, 0 }},
{/* interval2 is a tritone */
{ kHalfDimb9,2 }, { kDom7s5, 3 }, { kHalfDim7, 2 }, { kDom7b5, 0 }, { kMaj7b5, 0 }},
{/* interval2 is a perfect fifth */
{ kMaj7s5, 3 }, { kMin7, 3 }, { kDom7, 0 }, { kMaj7, 0 }},
{/* interval2 is a minor sixth */
{ kMinMaj7, 3 }, { kDom7s5, 0 }, { kMaj7s5, 0 }},
{/* interval2 is a major sixth */
{ kMin7b9, 2 }, { kMin9, 2 }},
{/* interval2 is a minor seventh */
{ kMaj7s13, 0 }}
},
{/* interval1 is a perfect fourth */
{/* interval2 is a tritone */
{ kDimMajb9, 2 }, { kMin7b9, 1 }, { kDomb9, 1 }, { kMaj7b5, 2 }, { kDimMaj9, 0 }},
{/* interval2 is a perfect fifth */
{ kMin9, 1 }, { kDom9, 1 }, { kDom11, 0 }, { kDom11, 2 }},
{/* interval2 is a minor sixth */
{ kDom7s9, 1 }, { kDom9, 3 }, { kDim7b9, 3 }},
{/* interval2 is a major sixth */
{ kMaj9, 3 }, { kHalfDimb9,3 }},
{/* interval2 is a minor seventh */
{ kDimMajb9, 3 }}
},
{/* interval1 is a tritone */
{/* interval2 is a perfect fifth */
{ kMaj7s13, 3 }, { kHalfDimb9,1 }, { kDom7s11, 0 }, { kMaj11, 2 }},
{/* interval2 is a minor sixth */
{ kDomb9, 2 }, { kDom9, 2 }, { kDom7s9, 2 }},
{/* interval2 is a major sixth */
{ kDim7b9, 2 }, { kDomb9, 3 }},
{/* interval2 is a minor seventh */
{ kMaj7b9, 3 }}
},
{/* interval1 is a perfect fifth */
{/* interval2 is a minor sixth */
{ kMaj7b9, 2 }, { kMaj9, 2 }, { kMaj7s9, 2 }},
{/* interval2 is a major sixth */
{ kMin7b9, 2 }, { kMin9, 2 }},
{/* interval2 is a minor seventh */
{ kMaj7s13, 0 }}
},
{/* interval1 is a minor sixth */
{/* interval2 is a major sixth */
{ kMinMajb9, 2 }, { kMinMaj9, 2 }},
{/* interval2 is a minor seventh */
{ kM7b913, 3 }}
},
{/* interval1 is a major sixth */
{/* interval2 is a minor seventh */
{ kM7b9s13, 2 }}
}
};
register t_type_root* t;
int members[4];
int interval1, interval2, interval3;
int i, j = 0;
for (i=0; i<12; i++)
if (x->x_pc[i]) members[j++] = i; /* load members array with chord pitch classes */
interval1 = members[1] - members[0]; /* calculate interval between first two members */
interval2 = members[2] - members[0]; /* calculate interval between first and third */
interval3 = members[3] - members[0]; /* calculate interval between first and third */
interval3 = interval3 - interval2 - 1; /* reduce interval3 to start at zero */
interval2 = interval2 - interval1 - 1; /* reduce interval2 to start at zero */
interval1 = interval1 - 1; /* reduce interval1 to start at zero */
/* find TypeRoot struct for this interval set */
t = &(quartads[interval1][interval2][interval3]);
x->x_chord_type = t->type;
x->x_chord_root = members[t->rootMember];
switch(t->rootMember) { /* get state of inversion */
case 0:
x->x_chord_inversion = 0;
break;
case 1:
x->x_chord_inversion = 2;
break;
case 2:
x->x_chord_inversion = 2;
break;
case 3:
x->x_chord_inversion = 1;
}
chord_draw_chord_type(x, 4); /* output results */
}
static void chord_fatal_error(char* s1, char* s2)
{
post("chord: error: %s : %s", s1, s2);
}
static void chord_quintad(t_chord *x)
{
static int initialized = 0;
static t_type_root quintads[8][8][8][8];
register int i, j, k, l;
register t_type_root *t;
t_int members[5];
int interval1, interval2, interval3, interval4;
int *st;
int maj9[5][4] = {{1,1,2,3}, {0,1,1,2}, {3,0,1,1}, {2,3,0,1}, {1,2,3,0}};
int dom9[5][4] = {{1,1,2,2}, {1,1,1,2}, {2,1,1,1}, {2,2,1,1}, {1,2,2,1}};
int min9[5][4] = {{1,0,3,2}, {1,1,0,3}, {2,1,1,0}, {3,2,1,1}, {0,3,2,1}};
int had9[5][4] = {{1,0,2,3}, {1,1,0,2}, {3,1,1,0}, {2,3,1,1}, {0,2,3,1}};
int miM9[5][4] = {{1,0,3,3}, {0,1,0,3}, {3,0,1,0}, {3,3,0,1}, {0,3,3,0}};
int diM9[5][4] = {{1,0,2,4}, {0,1,0,2}, {4,0,1,0}, {2,4,0,1}, {0,2,4,0}};
int M9b5[5][4] = {{1,1,1,4}, {0,1,1,1}, {4,0,1,1}, {1,4,0,1}, {1,1,4,0}};
int D9b5[5][4] = {{1,1,1,3}, {1,1,1,1}, {3,1,1,1}, {1,3,1,1}, {1,1,3,1}};
int mM91[5][4] = {{1,0,0,6}, {0,1,0,0}, {6,0,1,0}, {0,6,0,1}, {0,0,6,0}};
int M7b9[5][4] = {{0,2,2,3}, {0,0,2,2}, {3,0,0,2}, {2,3,0,0}, {2,2,3,0}};
int M5b9[5][4] = {{0,2,3,2}, {0,0,2,3}, {2,0,0,2}, {3,2,0,0}, {2,3,2,0}};
int D7b9[5][4] = {{0,2,2,2}, {1,0,2,2}, {2,1,0,2}, {2,2,1,0}, {2,2,2,1}};
int m7b9[5][4] = {{0,1,3,2}, {1,0,1,3}, {2,1,0,1}, {3,2,1,0}, {1,3,2,1}};
int mb51[5][4] = {{0,1,2,0}, {4,0,1,2}, {0,4,0,1}, {2,0,4,0}, {1,2,0,4}};
int d7b9[5][4] = {{0,1,2,3}, {1,0,1,2}, {3,1,0,1}, {2,3,1,0}, {1,2,3,1}};
int mMb9[5][4] = {{0,1,3,3}, {0,0,1,3}, {3,0,0,1}, {3,3,0,0}, {1,3,3,0}};
int dMb9[5][4] = {{0,1,2,4}, {0,0,1,2}, {4,0,0,1}, {2,4,0,0}, {1,2,4,0}};
int dib9[5][4] = {{0,1,2,2}, {2,0,1,2}, {2,2,0,1}, {2,2,2,0}, {1,2,2,2}};
int M7s9[5][4] = {{2,0,2,3}, {0,2,0,2}, {3,0,2,0}, {2,3,0,2}, {0,2,3,0}};
int D7s9[5][4] = {{2,0,2,2}, {1,2,0,2}, {2,1,2,0}, {2,2,1,2}, {0,2,2,1}};
int M7s1[5][4] = {{3,1,0,3}, {0,3,1,0}, {3,0,3,1}, {0,3,0,3}, {1,0,3,0}};
int d9b3[5][4] = {{1,1,2,0}, {3,1,1,2}, {0,3,1,1}, {2,0,3,1}, {1,2,0,3}};
int M9s3[5][4] = {{1,4,2,0}, {0,1,4,2}, {0,0,1,4}, {2,0,0,1}, {4,2,0,0}};
int M9st[5][4] = {{1,1,5,0}, {0,1,1,5}, {0,0,1,1}, {5,0,0,1}, {1,5,0,0}};
int s9s1[5][4] = {{2,0,1,0}, {4,2,0,1}, {0,4,2,0}, {1,0,4,2}, {0,1,0,4}};
int h7b1[5][4] = {{2,0,1,3}, {1,2,0,1}, {3,1,2,0}, {1,3,1,2}, {0,1,3,1}};
int M711[5][4] = {{3,0,1,3}, {0,3,0,1}, {3,0,3,0}, {1,3,0,3}, {0,1,3,0}};
int M115[5][4] = {{1,1,0,5}, {0,1,1,0}, {5,0,1,1}, {0,5,0,1}, {1,0,5,0}};
int d711[5][4] = {{3,0,1,2}, {1,3,0,1}, {2,1,3,0}, {1,2,1,3}, {0,1,2,1}};
int d712[5][4] = {{1,1,0,1}, {4,1,1,0}, {1,4,1,1}, {0,1,4,1}, {1,0,1,4}};
int d713[5][4] = {{1,1,0,4}, {1,1,1,0}, {4,1,1,1}, {0,4,1,1}, {1,0,4,1}};
int m711[5][4] = {{2,1,1,2}, {1,2,1,1}, {2,1,2,1}, {1,2,1,2}, {1,1,2,1}};
int m712[5][4] = {{1,0,1,1}, {4,1,0,1}, {1,4,1,0}, {1,1,4,1}, {0,1,1,4}};
int di11[5][4] = {{1,0,1,0}, {5,1,0,1}, {0,5,1,0}, {1,0,5,1}, {0,1,0,5}};
int mM11[5][4] = {{2,1,1,3}, {0,2,1,1}, {3,0,2,1}, {1,3,0,2}, {1,1,3,0}};
int dM11[5][4] = {{2,1,0,4}, {0,2,1,0}, {4,0,2,1}, {0,4,0,2}, {1,0,4,0}};
int Meb5[5][4] = {{3,0,0,4}, {0,3,0,0}, {4,0,3,0}, {0,4,0,3}, {0,0,4,0}};
int Mes5[5][4] = {{3,0,2,2}, {0,3,0,2}, {2,0,3,0}, {2,2,0,3}, {0,2,2,0}};
int Meb9[5][4] = {{0,2,0,5}, {0,0,2,0}, {5,0,0,2}, {0,5,0,0}, {2,0,5,0}};
int Mes9[5][4] = {{2,0,0,5}, {0,2,0,0}, {5,0,2,0}, {0,5,0,2}, {0,0,5,0}};
int Deb5[5][4] = {{3,0,0,3}, {1,3,0,0}, {3,1,3,0}, {0,3,1,3}, {0,0,3,1}};
int Mes3[5][4] = {{3,0,4,0}, {0,3,0,4}, {0,0,3,0}, {4,0,0,3}, {0,4,0,0}};
int Deb9[5][4] = {{0,2,0,4}, {1,0,2,0}, {4,1,0,2}, {0,4,1,0}, {2,0,4,1}};
int De91[5][4] = {{0,2,0,1}, {4,0,2,0}, {1,4,0,2}, {0,1,4,0}, {2,0,1,4}};
int Des9[5][4] = {{2,0,0,4}, {1,2,0,0}, {4,1,2,0}, {0,4,1,2}, {0,0,4,1}};
int Ds11[5][4] = {{3,1,0,2}, {1,3,1,0}, {2,1,3,1}, {0,2,1,3}, {1,0,2,1}};
int m7s1[5][4] = {{2,2,0,2}, {1,2,2,0}, {2,1,2,2}, {0,2,1,2}, {2,0,2,1}};
int D3s1[5][4] = {{5,0,1,0}, {1,5,0,1}, {0,1,5,0}, {1,0,1,5}, {0,1,0,1}};
int Mb9s[5][4] = {{0,2,5,0}, {0,0,2,5}, {0,0,0,2}, {5,0,0,0}, {2,5,0,0}};
int D7b3[5][4] = {{3,2,0,1}, {1,3,2,0}, {1,1,3,2}, {0,1,1,3}, {2,0,1,1}};
if (!initialized) {
for (i=0; i<8; i++)
for (j=0; j<8; j++)
for (k=0; k<8; k++)
for (l=0; l<8; l++) {
quintads[i][j][k][l].type = kNone;
quintads[i][j][k][l].rootMember = kXX;
}
// major ninths
for (i=0; i<5; i++) {
st = maj9[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
t->type = kMaj9;
t->rootMember = i;
}
// dominant ninths
for (i=0; i<5; i++) {
st = dom9[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "dom9");
t->type = kDom9;
t->rootMember = i;
}
// minor ninths
for (i=0; i<5; i++) {
st = min9[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "min9");
t->type = kMin9;
t->rootMember = i;
}
// half diminished ninths
for (i=0; i<5; i++) {
st = had9[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "had9");
t->type = kHalfDim9;
t->rootMember = i;
}
// minor/major ninths
for (i=0; i<5; i++) {
st = miM9[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "miM9");
t->type = kMinMaj9;
t->rootMember = i;
}
// diminished/major ninths
for (i=0; i<5; i++) {
st = diM9[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "diM9");
t->type = kDimMaj9;
t->rootMember = i;
}
// major ninth flat 5
for (i=0; i<5; i++) {
st = M9b5[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "M9b5");
t->type = kMaj9b5;
t->rootMember = i;
}
// dominant ninth flat 5
for (i=0; i<5; i++) {
st = D9b5[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "D9b5");
t->type = kDom9b5;
t->rootMember = i;
}
// minor/major ninth flat 11
for (i=0; i<5; i++) {
st = mM91[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "mM91");
t->type = kmM9b11;
t->rootMember = i;
}
// major seventh flat nine
for (i=0; i<5; i++) {
st = M7b9[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "M7b9");
t->type = kMaj7b9;
t->rootMember = i;
}
// major seventh sharp five flat nine
for (i=0; i<5; i++) {
st = M5b9[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "M5b9");
t->type = kMaj7s5b9;
t->rootMember = i;
}
// dominant seventh flat nine
for (i=0; i<5; i++) {
st = D7b9[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "D7b9");
t->type = kDom7b9;
t->rootMember = i;
}
// minor seventh flat nine
for (i=0; i<5; i++) {
t = &(quintads[m7b9[i][0]][m7b9[i][1]][m7b9[i][2]][m7b9[i][3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "m7b9");
t->type = kMin7b9;
t->rootMember = i;
}
// minor flat nine sharp eleventh
for (i=0; i<5; i++) {
st = mb51[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "mb51");
t->type = kMinb9s11;
t->rootMember = i;
}
// half diminished seventh flat nine
for (i=0; i<5; i++) {
st = d7b9[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "d7b9");
t->type = kHalfDimb9;
t->rootMember = i;
}
// minor/major seventh flat nine
for (i=0; i<5; i++) {
st = mMb9[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "mMb9");
t->type = kMinMajb9;
t->rootMember = i;
}
// diminished major seventh flat nine
for (i=0; i<5; i++) {
st = dMb9[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "dMb9");
t->type = kDimMajb9;
t->rootMember = i;
}
// diminished seventh flat nine
for (i=0; i<5; i++) {
t = &(quintads[dib9[i][0]][dib9[i][1]][dib9[i][2]][dib9[i][3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "dib9");
t->type = kDim7b9;
t->rootMember = i;
}
// major seventh sharp nine
for (i=0; i<5; i++) {
t = &(quintads[M7s9[i][0]][M7s9[i][1]][M7s9[i][2]][M7s9[i][3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "M7s9");
t->type = kMaj7s9;
t->rootMember = i;
}
// dominant seventh sharp nine
for (i=0; i<5; i++) {
t = &(quintads[D7s9[i][0]][D7s9[i][1]][D7s9[i][2]][D7s9[i][3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "D7s9");
t->type = kDom7s9;
t->rootMember = i;
}
// major seventh sharp eleventh
for (i=0; i<5; i++) {
t = &(quintads[M7s1[i][0]][M7s1[i][1]][M7s1[i][2]][M7s1[i][3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "M7s1");
t->type = kMaj7s11;
t->rootMember = i;
}
// dominant ninth flat thirteenth
for (i=0; i<5; i++) {
st = d9b3[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "d9b3");
t->type = kDom9b13;
t->rootMember = i;
}
// major ninth sharp thirteenth
for (i=0; i<5; i++) {
st = M9s3[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "M9s3");
t->type = kMaj9s13;
t->rootMember = i;
}
// major ninth sharp thirteenth
for (i=0; i<5; i++) {
t = &(quintads[M9st[i][0]][M9st[i][1]][M9st[i][2]][M9st[i][3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "M9st");
t->type = kMaj9s13;
t->rootMember = i;
}
// major chord sharp ninth sharp eleventh
for (i=0; i<5; i++) {
st = s9s1[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "s9s1");
t->type = kMs9s11;
t->rootMember = i;
}
// half diminished seven flat 11
for (i=0; i<5; i++) {
st = h7b1[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "h7b1");
t->type = kHDimb11;
t->rootMember = i;
}
// major eleventh
for (i=0; i<5; i++) {
t = &(quintads[M711[i][0]][M711[i][1]][M711[i][2]][M711[i][3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "M711");
t->type = kMaj11;
t->rootMember = i;
}
// major eleventh
for (i=0; i<5; i++) {
t = &(quintads[M115[i][0]][M115[i][1]][M115[i][2]][M115[i][3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "M711");
t->type = kMaj11;
t->rootMember = i;
}
// dominant eleventh
for (i=0; i<5; i++) {
t = &(quintads[d711[i][0]][d711[i][1]][d711[i][2]][d711[i][3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "d711");
t->type = kDom11;
t->rootMember = i;
}
// dominant eleventh
for (i=0; i<5; i++) {
t = &(quintads[d712[i][0]][d712[i][1]][d712[i][2]][d712[i][3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "d712");
t->type = kDom11;
t->rootMember = i;
}
// dominant eleventh
for (i=0; i<5; i++) {
st = d713[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "d713");
t->type = kDom11;
t->rootMember = i;
}
// minor eleventh
for (i=0; i<5; i++) {
t = &(quintads[m711[i][0]][m711[i][1]][m711[i][2]][m711[i][3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "m711");
t->type = kMin11;
t->rootMember = i;
}
// minor eleventh
for (i=0; i<5; i++) {
t = &(quintads[m712[i][0]][m712[i][1]][m712[i][2]][m712[i][3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "m712");
t->type = kMin11;
t->rootMember = i;
}
// diminished eleventh
for (i=0; i<5; i++) {
st = di11[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "di11");
t->type = kDim11;
t->rootMember = i;
}
// minor/major eleventh
for (i=0; i<5; i++) {
st = mM11[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "mM11");
t->type = kMinMaj11;
t->rootMember = i;
}
// diminished major eleventh
for (i=0; i<5; i++) {
st = dM11[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "dM11");
t->type = kDimMaj11;
t->rootMember = i;
}
// major eleventh flat fifth
for (i=0; i<5; i++) {
st = Meb5[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "Meb5");
t->type = kMaj11b5;
t->rootMember = i;
}
// major eleventh sharp fifth
for (i=0; i<5; i++) {
st = Mes5[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "Mes5");
t->type = kMaj11s5;
t->rootMember = i;
}
// major eleventh flat ninth
for (i=0; i<5; i++) {
st = Meb9[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "Meb9");
t->type = kMaj11b9;
t->rootMember = i;
}
// major eleventh sharp ninth
for (i=0; i<5; i++) {
st = Mes9[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "Mes9");
t->type = kMaj11s9;
t->rootMember = i;
}
// major eleventh sharp thirteenth
for (i=0; i<5; i++) {
st = Mes3[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "Mes3");
t->type = kMaj11s13;
t->rootMember = i;
}
// dominant eleventh flat fifth
for (i=0; i<5; i++) {
st = Deb5[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "Deb5");
t->type = kDom11b5;
t->rootMember = i;
}
// dominant eleventh flat ninth
for (i=0; i<5; i++) {
st = Deb9[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "Deb9");
t->type = kDom11b9;
t->rootMember = i;
}
// dominant eleventh flat ninth
for (i=0; i<5; i++) {
st = De91[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "De91");
t->type = kDom11b9;
t->rootMember = i;
}
// dominant eleventh sharp ninth
for (i=0; i<5; i++) {
st = Des9[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "Des9");
t->type = kDom11s9;
t->rootMember = i;
}
// dominant seventh sharp eleventh
for (i=0; i<5; i++) {
st = Ds11[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "Ds11");
t->type = kDom7s11;
t->rootMember = i;
}
// minor seventh sharp eleventh
for (i=0; i<5; i++) {
st = m7s1[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "m7s1");
t->type = kMin7s11;
t->rootMember = i;
}
// dominant thirteenth sharp eleventh
for (i=0; i<5; i++) {
st = D3s1[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "D3s1");
t->type = kDom13s11;
t->rootMember = i;
}
// major seventh flat ninth sharp thirteenth
for (i=0; i<5; i++) {
st = Mb9s[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "Mb9s");
t->type = kM7b9s13;
t->rootMember = i;
}
// dominant seventh flat thirteenth
for (i=0; i<5; i++) {
st = D7b3[i];
t = &(quintads[st[0]][st[1]][st[2]][st[3]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "D7b3");
t->type = kDom7b13;
t->rootMember = i;
}
initialized = 1;
return;
}
j = 0;
for (i=0; i<12; i++)
if (x->x_pc[i]) members[j++] = i; /* load members array with chord pitch classes */
interval1 = members[1] - members[0]; /* calculate interval between first two members */
interval2 = members[2] - members[0]; /* calculate interval between first and third */
interval3 = members[3] - members[0]; /* calculate interval between first and third */
interval4 = members[4] - members[0]; /* calculate interval between first and fourth */
interval4 = interval4 - interval3 - 1; /* reduce interval4 to start at zero */
interval3 = interval3 - interval2 - 1; /* reduce interval3 to start at zero */
interval2 = interval2 - interval1 - 1; /* reduce interval2 to start at zero */
interval1 = interval1 - 1; /* reduce interval1 to start at zero */
// find TypeRoot struct for this interval set
t = &(quintads[interval1][interval2][interval3][interval4]);
if (t->rootMember != kXX)
{
x->x_chord_type = t->type;
x->x_chord_root = members[t->rootMember];
switch(t->rootMember) { /* get state of inversion */
case 0:
x->x_chord_inversion = 0;
break;
case 1:
x->x_chord_inversion = 2;
break;
case 2:
x->x_chord_inversion = 2;
break;
case 3:
x->x_chord_inversion = 2;
break;
case 4:
x->x_chord_inversion = 1;
}
chord_draw_chord_type(x, 5); /* output result */
} else
chord_kick_out_member(x, 5, members);
}
static void chord_sextad(t_chord *x)
{
static int initialized = 0;
static t_type_root sextads[7][7][7][7][7];
register int i, j, k, l, m;
register t_type_root *t;
register int* st;
t_int members[6];
int interval1, interval2, interval3, interval4, interval5;
int D9b3[6][5] =
{{1,1,2,0,1}, {1,1,1,2,0}, {1,1,1,1,2}, {0,1,1,1,1}, {2,0,1,1,1}, {1,2,0,1,1}};
int m9s1[6][5] =
{{1,0,2,0,2}, {1,1,0,2,0}, {2,1,1,0,2}, {0,2,1,1,0}, {2,0,2,1,1}, {0,2,0,2,1}};
int M711[6][5] =
{{1,1,0,1,3}, {0,1,1,0,1}, {3,0,1,1,0}, {1,3,0,1,1}, {0,1,3,0,1}, {1,0,1,3,0}};
int D711[6][5] =
{{1,1,0,1,2}, {1,1,1,0,1}, {2,1,1,1,0}, {1,2,1,1,1}, {0,1,2,1,1}, {1,0,1,2,1}};
int hd11[6][5] =
{{1,0,1,0,3}, {1,1,0,1,0}, {3,1,1,0,1}, {0,3,1,1,0}, {1,0,3,1,1}, {0,1,0,3,1}};
int M1b5[6][5] =
{{1,1,0,0,4}, {0,1,1,0,0}, {4,0,1,1,0}, {0,4,0,1,1}, {0,0,4,0,1}, {1,0,0,4,0}};
int M159[6][5] =
{{0,2,0,0,4}, {0,0,2,0,0}, {4,0,0,2,0}, {0,4,0,0,2}, {0,0,4,0,0}, {2,0,0,4,0}};
int M1s3[6][5] =
{{1,1,0,4,0}, {0,1,1,0,4}, {0,0,1,1,0}, {4,0,0,1,1}, {0,4,0,0,1}, {1,0,4,0,0}};
int hd19[6][5] =
{{0,1,1,0,3}, {1,0,1,1,0}, {3,1,0,1,1}, {0,3,1,0,1}, {1,0,3,1,0}, {1,1,0,3,1}};
int M1b3[6][5] =
{{3,0,1,0,2}, {0,3,0,1,0}, {2,0,3,0,1}, {0,2,0,3,0}, {1,0,2,0,3}, {0,1,0,2,0}};
int D1b5[6][5] =
{{1,1,0,0,3}, {1,1,1,0,0}, {3,1,1,1,0}, {0,3,1,1,1}, {0,0,3,1,1}, {1,0,0,3,1}};
int D1s9[6][5] =
{{2,0,0,1,2}, {1,2,0,0,1}, {2,1,2,0,0}, {1,2,1,2,0}, {0,1,2,1,2}, {0,0,1,2,1}};
int m791[6][5] =
{{0,1,2,0,2}, {1,0,1,2,0}, {2,1,0,1,2}, {0,2,1,0,1}, {2,0,2,1,0}, {1,2,0,2,1}};
int d7s1[6][5] =
{{1,1,1,0,2}, {1,1,1,1,0}, {2,1,1,1,1}, {0,2,1,1,1}, {1,0,2,1,1}, {1,1,0,2,1}};
int d3s1[6][5] =
{{3,1,0,1,0}, {1,3,1,0,1}, {0,1,3,1,0}, {1,0,1,3,1}, {0,1,0,1,3}, {1,0,1,0,1}};
if (!initialized) {
for (i=0; i<7; i++)
for (j=0; j<7; j++)
for (k=0; k<7; k++)
for (l=0; l<7; l++)
for (m=0; m<7; m++) {
sextads[i][j][k][l][m].type = kNone;
sextads[i][j][k][l][m].rootMember = kXX;
}
// dominant ninth flat thirteen
for (i=0; i<6; i++) {
st = D9b3[i];
t = &(sextads[st[0]][st[1]][st[2]][st[3]][st[4]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "D9b3");
t->type = kDom9b13;
t->rootMember = i;
}
// minor ninth sharp eleventh
for (i=0; i<6; i++) {
st = m9s1[i];
t = &(sextads[st[0]][st[1]][st[2]][st[3]][st[4]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "m9s1");
t->type = kMin9s11;
t->rootMember = i;
}
// major eleventh
for (i=0; i<6; i++) {
st = M711[i];
t = &(sextads[st[0]][st[1]][st[2]][st[3]][st[4]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "M711");
t->type = kMaj11;
t->rootMember = i;
}
// dominant eleventh
for (i=0; i<6; i++) {
st = D711[i];
t = &(sextads[st[0]][st[1]][st[2]][st[3]][st[4]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "D711");
t->type = kDom11;
t->rootMember = i;
}
// half diminished eleventh
for (i=0; i<6; i++) {
st = hd11[i];
t = &(sextads[st[0]][st[1]][st[2]][st[3]][st[4]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "hd11");
t->type = kHalfDim11;
t->rootMember = i;
}
// major eleventh flat 5
for (i=0; i<6; i++) {
st = M1b5[i];
t = &(sextads[st[0]][st[1]][st[2]][st[3]][st[4]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "M1b5");
t->type = kMaj11b5;
t->rootMember = i;
}
// major eleventh flat 5 flat 9
for (i=0; i<6; i++) {
st = M159[i];
t = &(sextads[st[0]][st[1]][st[2]][st[3]][st[4]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "M159");
t->type = kM11b5b9;
t->rootMember = i;
}
// major eleventh sharp 13
for (i=0; i<6; i++) {
st = M1s3[i];
t = &(sextads[st[0]][st[1]][st[2]][st[3]][st[4]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "M1s3");
t->type = kMaj11s13;
t->rootMember = i;
}
// half diminished eleventh flat 9
for (i=0; i<6; i++) {
st = hd19[i];
t = &(sextads[st[0]][st[1]][st[2]][st[3]][st[4]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "hd19");
t->type = kHalfDim11b9;
t->rootMember = i;
}
// major eleventh flat 13
for (i=0; i<6; i++) {
st = M1b3[i];
t = &(sextads[st[0]][st[1]][st[2]][st[3]][st[4]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "M1b3");
t->type = kMaj11b13;
t->rootMember = i;
}
// dominant eleventh flat five
for (i=0; i<6; i++) {
st = D1b5[i];
t = &(sextads[st[0]][st[1]][st[2]][st[3]][st[4]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "D1b5");
t->type = kDom11b5;
t->rootMember = i;
}
// dominant eleventh sharp nine
for (i=0; i<6; i++) {
st = D1s9[i];
t = &(sextads[st[0]][st[1]][st[2]][st[3]][st[4]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "D1s9");
t->type = kDom11s9;
t->rootMember = i;
}
// minor seventh flat 9 sharp 11
for (i=0; i<6; i++) {
st = m791[i];
t = &(sextads[st[0]][st[1]][st[2]][st[3]][st[4]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "m791");
t->type = kMinb9s11;
t->rootMember = i;
}
// dominant seventh sharp 11
for (i=0; i<6; i++) {
st = d7s1[i];
t = &(sextads[st[0]][st[1]][st[2]][st[3]][st[4]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "d7s1");
t->type = kDom7s11;
t->rootMember = i;
}
// dominant thirteenth sharp 11
for (i=0; i<6; i++) {
st = d3s1[i];
t = &(sextads[st[0]][st[1]][st[2]][st[3]][st[4]]);
if (t->type != kNone) chord_fatal_error("redefining chord", "d3s1");
t->type = kDom13s11;
t->rootMember = i;
}
initialized = 1;
return;
}
j = 0;
for (i=0; i<12; i++)
if (x->x_pc[i]) members[j++] = i; // load members array with chord pitch classes
interval1 = members[1] - members[0]; // calculate interval between first two members
interval2 = members[2] - members[0]; // calculate interval between first and third
interval3 = members[3] - members[0]; // calculate interval between first and third
interval4 = members[4] - members[0]; // calculate interval between first and fourth
interval5 = members[5] - members[0]; // calculate interval between first and fifth
interval5 = interval5 - interval4 - 1; // reduce interval5 to start at zero
interval4 = interval4 - interval3 - 1; // reduce interval4 to start at zero
interval3 = interval3 - interval2 - 1; // reduce interval3 to start at zero
interval2 = interval2 - interval1 - 1; // reduce interval2 to start at zero
interval1 = interval1 - 1; // reduce interval1 to start at zero
// find TypeRoot struct for this interval set
t = &(sextads[interval1][interval2][interval3][interval4][interval5]);
if (t->rootMember != kXX) {
x->x_chord_type = t->type;
x->x_chord_root = members[t->rootMember];
switch(t->rootMember) { /* get state of inversion */
case 0:
x->x_chord_inversion = 0;
break;
case 1:
x->x_chord_inversion = 2;
break;
case 2:
x->x_chord_inversion = 2;
break;
case 3:
x->x_chord_inversion = 2;
break;
case 4:
x->x_chord_inversion = 2;
break;
case 5: x->x_chord_inversion = 1;
}
chord_draw_chord_type(x, 6); // output onto the screen
} else
chord_kick_out_member(x, 6, members);
}
static int chord_accidental(t_int pc)
{
switch (pc) {
case 0:
case 2:
case 4:
case 5:
case 7:
case 9:
case 11: return 0;
case 1:
case 3:
case 6:
case 8:
case 10:
default: return 1;
}
}
static int chord_name_third(t_chord *x, char* chord, int c, int rootName)
{
int third = (x->x_chord_root+4)%12; // look for major third
if (x->x_pc[third]) { // if one is there
x->x_pc[third] = 0; // erase from pcs array
chord[c++] = name_class[(rootName+2)%7];
if (chord_accidental(third)) { // if it has an chord_accidental
// make it a flat if the root also has an chord_accidental
if (chord_accidental(x->x_chord_root))
chord[c++] = 'b';
// otherwise make it a sharp
else
chord[c++] = '#';
}
chord[c++] = ' ';
return c; // return if major third found
}
third = (x->x_chord_root+3)%12; // no major, look for minor third
if (x->x_pc[third]) { // if one is there
x->x_pc[third] = 0; // erase from pcs array
chord[c++] = name_class[(rootName+2)%7];
if (chord_accidental(third)) // if it has an chord_accidental
chord[c++] = 'b'; else // make it a flat
if (chord_accidental(x->x_chord_root)) { // if the root has an chord_accidental
chord[c++] = 'b'; // make the third a flat
if (chord[0] == 'G') // if the root is Gb
chord[c++] = 'b'; // this must be Bbb
}
chord[c++] = ' ';
return c;
}
return c; // if we get here there was no third
}
static int chord_name_fifth(t_chord *x, char* chord, int c, int rootName)
{
int fifth = (x->x_chord_root+7)%12;
if (x->x_pc[fifth]) {
x->x_pc[fifth] = 0;
chord[c++] = name_class[(rootName+4)%7];
if (chord_accidental(fifth)) {
if (chord_accidental(x->x_chord_root)) chord[c++] = 'b';
else chord[c++] = '#';
}
chord[c++] = ' ';
return c;
}
fifth = (x->x_chord_root+6)%12;
if (x->x_pc[fifth]) {
x->x_pc[fifth] = 0;
chord[c++] = name_class[(rootName+4)%7];
if (chord[0] != 'B') chord[c++] = 'b';
if (chord_accidental(x->x_chord_root)) chord[c++] = 'b';
chord[c++] = ' ';
return c;
}
fifth = (x->x_chord_root+8)%12;
if (x->x_pc[fifth]) {
x->x_pc[fifth] = 0;
chord[c++] = name_class[(rootName+4)%7];
if (chord_accidental(fifth)) chord[c++] = '#'; else
if (!chord_accidental(x->x_chord_root)) {
chord[c++] = '#';
if (chord[0] == 'B')
chord[c++] = '#';
}
chord[c++] = ' ';
return c;
}
return c;
}
static int chord_name_seventh(t_chord *x, char* chord, int c, int rootName)
{
int seventh = (x->x_chord_root+11)%12;
if (x->x_pc[seventh]) {
x->x_pc[seventh] = 0;
chord[c++] = name_class[(rootName+6)%7];
if (chord_accidental(seventh)) chord[c++] = '#';
chord[c++] = ' ';
return c;
}
seventh = (x->x_chord_root+10)%12;
if (x->x_pc[seventh]) {
x->x_pc[seventh] = 0;
chord[c++] = name_class[(rootName+6)%7];
if (chord_accidental(seventh) || chord_accidental(x->x_chord_root))
chord[c++] = 'b';
chord[c++] = ' ';
return c;
}
seventh = (x->x_chord_root+9)%12;
if (x->x_pc[seventh]) {
x->x_pc[seventh] = 0;
chord[c++] = name_class[(rootName+6)%7];
chord[c++] = 'b';
if (chord_accidental(x->x_chord_root)) chord[c++] = 'b'; else
if (chord_accidental((seventh+1)%12)) chord[c++] = 'b';
chord[c++] = ' ';
return c;
}
return c;
}
static int chord_name_ninth(t_chord *x, char* chord, int c, int rootName)
{
int ninth = (x->x_chord_root+2)%12;
if (x->x_pc[ninth]) {
x->x_pc[ninth] = 0;
chord[c++] = name_class[(rootName+1)%7];
if (chord_accidental(ninth)) {
if (chord_accidental(x->x_chord_root)) chord[c++] = 'b';
else chord[c++] = '#';
}
chord[c++] = ' ';
return c;
}
ninth = (x->x_chord_root+1)%12;
if (x->x_pc[ninth]) {
x->x_pc[ninth] = 0;
chord[c++] = name_class[(rootName+1)%7];
if (chord_accidental(ninth)) chord[c++] = 'b';
else {
if (chord_accidental(x->x_chord_root)) {
chord[c++] = 'b';
if ((x->x_chord_root == 1) || (x->x_chord_root == 6) || (x->x_chord_root == 8))
chord[c++] = 'b';
}
}
chord[c++] = ' ';
return c;
}
ninth = (x->x_chord_root+3)%12;
if (x->x_pc[ninth]) {
x->x_pc[ninth] = 0;
chord[c++] = name_class[(rootName+1)%7];
if (chord_accidental(ninth)) chord[c++] = '#'; else
if (!chord_accidental(x->x_chord_root)) {
chord[c++] = '#';
if (chord_accidental((x->x_chord_root+2)%12))
chord[c++] = '#';
}
chord[c++] = ' ';
return c;
}
return c;
}
static int chord_name_eleventh(t_chord *x, char* chord, int c, int rootName)
{
int eleventh = (x->x_chord_root+5)%12;
if (x->x_pc[eleventh]) {
x->x_pc[eleventh] = 0;
chord[c++] = name_class[(rootName+3)%7];
if (chord_accidental(eleventh)) chord[c++] = 'b'; else
if (chord_accidental(x->x_chord_root)) chord[c++] = 'b';
chord[c++] = ' ';
return c;
}
eleventh = (x->x_chord_root+6)%12;
if (x->x_pc[eleventh]) {
x->x_pc[eleventh] = 0;
chord[c++] = name_class[(rootName+3)%7];
if (chord_accidental(eleventh)) chord[c++] = '#'; else
if ((!chord_accidental(x->x_chord_root)) && (x->x_chord_root == 11))
chord[c++] = '#';
chord[c++] = ' ';
return c;
}
return c;
}
static int chord_name_thirteenth(t_chord *x, char* chord, int c, int rootName)
{
int thirteenth = (x->x_chord_root+9)%12;
if (x->x_pc[thirteenth]) {
x->x_pc[thirteenth] = 0;
chord[c++] = name_class[(rootName+5)%7];
if (chord_accidental(thirteenth)) {
if (chord_accidental(x->x_chord_root))
chord[c++] = 'b';
else
chord[c++] = '#';
}
chord[c++] = ' ';
return c;
}
thirteenth = (x->x_chord_root+10)%12;
if (x->x_pc[thirteenth]) {
x->x_pc[thirteenth] = 0;
chord[c++] = name_class[(rootName+5)%7];
if (chord_accidental(thirteenth)) chord[c++] = '#'; else
if (!chord_accidental(x->x_chord_root)) {
chord[c++] = '#';
if (chord_accidental((x->x_chord_root+9)%12))
chord[c++] = '#';
}
chord[c++] = ' ';
return c;
}
thirteenth = (x->x_chord_root+8)%12;
if (x->x_pc[thirteenth]) {
x->x_pc[thirteenth] = 0;
chord[c++] = name_class[(rootName+5)%7];
if (chord_accidental(thirteenth)) chord[c++] = 'b'; else
if (chord_accidental(x->x_chord_root)) {
chord[c++] = 'b';
if (chord_accidental(x->x_chord_root+9)%12)
chord[c++] = 'b';
}
chord[c++] = ' ';
return c;
}
return c;
}
static void chord_spell_chord(t_chord *x, char *chord, t_int num_pcs)
{
int rootName = 0; // keep index of root name class
int c = 0; // pointer to current character
int named = 0; // how many members have been named
int mark;
int i;
// use chordRoot to set rootName index and store characters for name
switch (x->x_chord_root)
{
case 0: chord[c++] = name_class[rootName=0]; break;
case 1: chord[c++] = name_class[rootName=1];
chord[c++] = 'b'; break;
case 2: chord[c++] = name_class[rootName=1]; break;
case 3: chord[c++] = name_class[rootName=2];
chord[c++] = 'b'; break;
case 4: chord[c++] = name_class[rootName=2]; break;
case 5: chord[c++] = name_class[rootName=3]; break;
case 6: chord[c++] = name_class[rootName=4];
chord[c++] = 'b'; break;
case 7: chord[c++] = name_class[rootName=4]; break;
case 8: chord[c++] = name_class[rootName=5];
chord[c++] = 'b'; break;
case 9: chord[c++] = name_class[rootName=5]; break;
case 10: chord[c++] = name_class[rootName=6];
chord[c++] = 'b'; break;
case 11: chord[c++] = name_class[rootName=6]; break;
default: break;
}
x->x_pc[x->x_chord_root] = 0; /* set this member to zero */
chord[c++] = ' '; // insert space
if (++named == num_pcs) { // if everything is named
chord[c] = '\0'; // terminate the string
return; // and return
}
mark = c; // use mark to see if new names are added
for (i=0; i<6; i++) {
// advance search by thirds
switch (i) {
case 0: mark = chord_name_third (x, chord, c, rootName); break;
case 1: mark = chord_name_fifth (x, chord, c, rootName); break;
case 2: mark = chord_name_seventh (x, chord, c, rootName); break;
case 3: mark = chord_name_ninth (x, chord, c, rootName); break;
case 4: mark = chord_name_eleventh (x, chord, c, rootName); break;
case 5: mark = chord_name_thirteenth(x, chord, c, rootName); break;
}
if (mark != c) { // if new name is added
++named; // increment count of named members
c = mark; // update character pointer
}
if (named == num_pcs) { // if everything is named
chord[c] = '\0'; // terminate the string
return; // and return
}
}
chord[c] = '\0';
}
static void chord_draw_chord_type(t_chord *x, t_int num_pcs)
{
char chord[255]; /* output string */
int i, j;
/* get members of chord */
j = 0;
for(i = 0; i < 12; i++)
{
if(x->x_pc[i])
{
SETFLOAT(x->x_chordlist+j, x->x_abs_pc[i]);
j++;
}
}
if (x->x_chord_type != kNone)
{
chord_spell_chord(x, chord, num_pcs); /* spell chord members */
}
else
{
post("going...");
chord[0] = '\0';
for(i = 0; i < 12; i++)
if (x->x_pc[i])
strcat(chord, pitch_class[i]); /* output single notes */
post("did it");
}
strcat(chord, ": ");
strcat(chord, pitch_class[x->x_chord_root]);
/* append name of chord type */
switch (x->x_chord_type) {
case kUnison: strcat(chord, "unison"); break;
case kMaj: strcat(chord, "major"); break;
case kMin: strcat(chord, "minor"); break;
case kDim: strcat(chord, "diminished"); break;
case kAug: strcat(chord, "augmented"); break;
case kMaj7: strcat(chord, "major 7th"); break;
case kDom7: strcat(chord, "dominant 7th"); break;
case kMin7: strcat(chord, "minor 7th"); break;
case kHalfDim7: strcat(chord, "half diminished 7th"); break;
case kDim7: strcat(chord, "diminished 7th"); break;
case kMinMaj7: strcat(chord, "minor/major 7th"); break;
case kMaj7s5: strcat(chord, "major 7th #5"); break;
case kMaj7b5: strcat(chord, "major 7th b5"); break;
case kDom7s5: strcat(chord, "dominant 7th #5"); break;
case kDom7b5: strcat(chord, "dominant 7th b5"); break;
case kDomb9: strcat(chord, "dominant b9"); break;
case kMaj9: strcat(chord, "major 9th"); break;
case kDom9: strcat(chord, "dominant 9th"); break;
case kMin9: strcat(chord, "minor 9th"); break;
case kHalfDim9: strcat(chord, "half diminished 9th"); break;
case kMinMaj9: strcat(chord, "minor major 9th"); break;
case kDimMaj9: strcat(chord, "diminished major 9th");break;
case kMaj9b5: strcat(chord, "major 9th b5"); break;
case kDom9b5: strcat(chord, "dominant 9th b5"); break;
case kDom9b13: strcat(chord, "dominant 9th b13"); break;
case kMin9s11: strcat(chord, "minor 9th #11"); break;
case kmM9b11: strcat(chord, "minor/maj 9th b11"); break;
case kMaj7b9: strcat(chord, "major 7th b9"); break;
case kMaj7s5b9: strcat(chord, "major 7th #5 b9"); break;
case kDom7b9: strcat(chord, "dominant 7th b9"); break;
case kMin7b9: strcat(chord, "minor 7th b9"); break;
case kMinb9s11: strcat(chord, "minor b9 #11"); break;
case kHalfDimb9:strcat(chord, "half diminished b9"); break;
case kDim7b9: strcat(chord, "diminished b9"); break;
case kMinMajb9: strcat(chord, "minor/major b9"); break;
case kDimMajb9: strcat(chord, "diminished M7 b9"); break;
case kMaj7s9: strcat(chord, "major 7th #9"); break;
case kDom7s9: strcat(chord, "dominant #9"); break;
case kMaj7s11: strcat(chord, "major 7th #11"); break;
case kMaj9s13: strcat(chord, "major 9th #13"); break;
case kMs9s11: strcat(chord, "major #9 #11"); break;
case kHDimb11: strcat(chord, "half diminished b11"); break;
case kMaj11: strcat(chord, "major 11th"); break;
case kDom11: strcat(chord, "dominant 11th"); break;
case kMin11: strcat(chord, "minor 11th"); break;
case kHalfDim11:strcat(chord, "half diminished 11th");break;
case kDim11: strcat(chord, "diminished 11th"); break;
case kMinMaj11: strcat(chord, "minor/major 11th"); break;
case kDimMaj11: strcat(chord, "diminished maj 11th"); break;
case kMaj11b5: strcat(chord, "major 11th b5"); break;
case kMaj11s5: strcat(chord, "major 11th #5"); break;
case kMaj11b9: strcat(chord, "major 11th b9"); break;
case kMaj11s9: strcat(chord, "major 11th #9"); break;
case kMaj11b13: strcat(chord, "major 11th b13"); break;
case kMaj11s13: strcat(chord, "major 11th #13"); break;
case kM11b5b9: strcat(chord, "major 11th b5 b9"); break;
case kDom11b5: strcat(chord, "dominant 11th b5"); break;
case kDom11b9: strcat(chord, "dominant 11th b9"); break;
case kDom11s9: strcat(chord, "dominant 11th #9"); break;
case kHalfDim11b9:strcat(chord, "half dim 11th b9"); break;
case kDom7s11: strcat(chord, "dominant #11"); break;
case kMin7s11: strcat(chord, "minor 7th #11"); break;
case kDom13s11: strcat(chord, "dominant 13th #11"); break;
case kM7b913: strcat(chord, "major 7 b9 13"); break;
case kMaj7s13: strcat(chord, "major 7th #13"); break;
case kM7b9s13: strcat(chord, "major 7 b9 #13"); break;
case kDom7b13: strcat(chord, "dominant 7th b13"); break;
case kChrom: strcat(chord, "chromatic"); break;
case kNone:
default: strcat(chord, "unknown"); break;
}
x->x_chord_bass = x->x_abs_pc[x->x_chord_root]; /* get MIDI note number of bass */
/* output results */
outlet_list(x->x_outchordnotes, NULL, j, x->x_chordlist);
outlet_float(x->x_outchordinversion, x->x_chord_inversion);
outlet_symbol(x->x_outchordname, gensym(chord));
outlet_float(x->x_outchordclass, x->x_chord_root);
outlet_float(x->x_outchordval, x->x_chord_bass);
}
static void chord_kick_out_member(t_chord *x, t_int number, t_int *members)
{
int *distances;
int minDistance = 1000;
int badMember = 0;
int i, j, interval;
distances = getbytes(number*sizeof(int));
for (i=0; i<number; i++) {
// initialize total distance to zero
distances[i] = 0;
for (j=0; j<number; j++)
if (j != i) {
// get absolute value of interval size
interval = abs(members[i] - members[j]);
// make inversions of intervals equivalent
if (interval > 6) interval = 12 - interval;
// add absolute interval size to total
distances[i] += interval;
}
// if this is the smallest total distance
if (distances[i] < minDistance) {
// remember it
minDistance = distances[i];
badMember = i;
}
}
freebytes(distances, number * sizeof(int));
x->x_pc[members[badMember]] = 0; // cancel out most dissonant member
chord_chord_finder(x, number-1); // call chord finder again without it
x->x_pc[members[badMember]] = 1; // replace most dissonant member
}
static void chord_chord_finder(t_chord *x, t_int num_pcs)
{
int i;
x->x_chord_type = kNone;
x->x_chord_root = kXX; /* none */
switch (num_pcs) {
case 1: chord_unison(x); break;
case 2: chord_dyad(x); break;
case 3: chord_triad(x); break;
case 4: chord_quartad(x); break;
case 5: chord_quintad(x); break;
case 6: chord_sextad(x); break;
default: x->x_chord_type = kChrom;
for(i = 0; i < 12; i++) // 12 was num_pcs !?
{
if(x->x_pc[i])
{
x->x_chord_root = i;
break;
}
}
}
}
static void chord_float(t_chord *x, t_floatarg f)
{
t_int velo = x->x_velo;
t_int allloc = 0;
t_int num_pc = 0; /* number of pitch classes present */
int i, j, k, l;
x->x_pitch = (t_int)f;
if(x->x_pitch <= x->x_split)
{
/* first we need to put the note into the allocation table */
if(velo == 0) /* got note-off: remove from allocation table */
{
if(x->x_poly > 0)x->x_poly--; /* polyphony has decreased by one */
for(i = 0; i < MAX_POLY; i++) /* search for voice allocation number */
{
/* search for corresponding alloc number */
if(x->x_alloctable[i] == x->x_pitch)
{
x->x_alloctable[i] = -1; /* free the alloc number */
break;
}
/* couldn't find it ? */
if(i == MAX_POLY - 1)
{
post("chord: no corresponding note-on found (ignored)");
return;
}
}
return; /* no need to look for chord */
}
else /* we got a note-on message */
{
if(x->x_poly == MAX_POLY)
{
post("chord: too many note-on messages (ignored)");
return;
}
x->x_poly++; /* number of currently playing notes has increased */
/* assign a voice allocation number */
for(i = 0; i < MAX_POLY; i++)
{
/* search for free alloc number */
if(x->x_alloctable[i] == -1)
{
x->x_alloctable[i] = x->x_pitch; /* ... and store pitch */
break;
}
}
/* copy all notes into the pitch class array */
for(i = 0; i < 12; i++)
{
x->x_pc[i] = 0; /* empty pitch class */
x->x_abs_pc[i] = -1; /* empty absolute values */
}
for(i = 0; i < MAX_POLY; i++)
{
/* check for presence of pitch class */
if(x->x_alloctable[i] != -1)
{
if(!x->x_pc[x->x_alloctable[i]%12]) /* a new pitch class */
{
x->x_abs_pc[x->x_alloctable[i]%12] = x->x_alloctable[i];
}
else if(x->x_abs_pc[x->x_alloctable[i]%12] > x->x_alloctable[i]) /* remember lowest pitch */
{
x->x_abs_pc[x->x_alloctable[i]%12] = x->x_alloctable[i];
}
x->x_pc[x->x_alloctable[i]%12] = 1; /* indicate presence of pc */
}
}
/* count number of pitch classes */
for(i = 0; i < 12; i++)
{
num_pc += x->x_pc[i];
}
// post("%d pitch classes", num_pc);
}
}
chord_chord_finder(x, num_pc);
}
static void chord_ft1(t_chord *x, t_floatarg f)
{
x->x_velo = (t_int)f;
}
static t_class *chord_class;
static void *chord_new(t_floatarg f)
{
int i;
t_chord *x = (t_chord *)pd_new(chord_class);
inlet_new(&x->x_ob, &x->x_ob.ob_pd, gensym("float"), gensym("ft1"));
x->x_outchordval = outlet_new(&x->x_ob, gensym("float"));
x->x_outchordclass = outlet_new(&x->x_ob, gensym("float"));
x->x_outchordname = outlet_new(&x->x_ob, gensym("symbol"));
x->x_outchordinversion = outlet_new(&x->x_ob, gensym("float"));
x->x_outchordnotes = outlet_new(&x->x_ob, gensym("float"));
x->x_split = (t_int)f;
if(x->x_split == 0)x->x_split = 128;
for(i = 0; i < MAX_POLY; i++)x->x_alloctable[i] = -1;
return (void *)x;
}
#ifndef MAXLIB
void chord_setup(void)
{
chord_class = class_new(gensym("chord"), (t_newmethod)chord_new,
0, sizeof(t_chord), 0, A_DEFFLOAT, 0);
#else
void maxlib_chord_setup(void)
{
chord_class = class_new(gensym("maxlib_chord"), (t_newmethod)chord_new,
0, sizeof(t_chord), 0, A_DEFFLOAT, 0);
#endif
class_addfloat(chord_class, chord_float);
class_addmethod(chord_class, (t_method)chord_ft1, gensym("ft1"), A_FLOAT, 0);
#ifndef MAXLIB
logpost(NULL, 4, "%s", version);
#else
class_addcreator((t_newmethod)chord_new, gensym("chord"), A_DEFFLOAT, 0);
class_sethelpsymbol(chord_class, gensym("maxlib/chord-help.pd"));
#endif
}
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