_modified_degree_to_half_steps (const modified_degree_t *degree)
{
int half_steps;
+ int scale_degree = degree->degree;
+
+ /* Restrict to actual degrees within a scale. */
+ if (scale_degree > 7)
+ scale_degree = (scale_degree % 8) + 1;
/* Number of half steps from root to specified degree within a
* diatonic scaled. */
- switch (degree->degree) {
+ switch (scale_degree) {
case 1:
half_steps = 0;
break;
int inversion,
score_pitch_t *root)
{
-#define MAX_DEGREES 4
+#define MAX_DEGREES 6
int relative_pitches[MAX_DEGREES];
int i, root_index;
#define SUP "<span font='33' rise='30000'>"
#define PUS "</span>"
- struct { modified_degree_t degrees[3]; const char *name; } triads[] = {
+ struct { modified_degree_t degrees[3]; const char *name; } trichords[] = {
+ /* Triads */
{ {{1, 0}, {3, +1}, {5, 0}}, "sus" },
{ {{1, 0}, {3, 0}, {5, +1}}, SUP "+" PUS },
{ {{1, 0}, {3, 0}, {5, 0}}, "" },
{ {{1, 0}, {3, -1}, {5, 0}}, "m" },
{ {{1, 0}, {3, -1}, {5, -1}}, "°" },
- { {{1, 0}, {2, 0}, {5, 0}}, "msus2" }
+ { {{1, 0}, {2, 0}, {5, 0}}, "msus2" },
+ /* Seventh chords with no 3rd */
+ { {{1, 0}, {5, +1}, {7, 0}}, SUP "+M7" PUS },
+ { {{1, 0}, {5, +1}, {7, -1}}, SUP "+7" PUS },
+ { {{1, 0}, {5, 0}, {7, 0}}, "M7" },
+ { {{1, 0}, {5, 0}, {7, -1}}, "7" },
+ { {{1, 0}, {5, -1}, {7, -1}}, "7♭5" },
+ /* Seventh chords with no 5th */
+ { {{1, 0}, {4, 0}, {7, 0}}, "M7sus" },
+ { {{1, 0}, {4, 0}, {7, -1}}, "7sus" },
+ { {{1, 0}, {3, 0}, {7, 0}}, "M7" },
+ { {{1, 0}, {3, 0}, {7, -1}}, "7" },
+ { {{1, 0}, {3, -1}, {7, 0}}, "m" SUP "M7" PUS },
+ { {{1, 0}, {3, -1}, {7, -1}}, "m7" },
+ { {{1, 0}, {2, 0}, {7, 0}}, "m" SUP "M7" PUS "sus2" },
+ { {{1, 0}, {2, 0}, {7, -1}}, "m7sus2" },
};
struct { modified_degree_t degrees[4]; const char *name; } tetrachords[] = {
/* Sixth chords */
- { {{1, 0}, {3, +1}, {5, 0}, {6, 0}}, "sus" SUP "6" PUS },
- { {{1, 0}, {3, 0}, {5, 0}, {6, 0}}, "6" },
+ { {{1, 0}, {4, 0}, {5, 0}, {6, 0}}, "6sus" },
+ { {{1, 0}, {3, 0}, {5, 0}, {6, 0}}, "6" }, /* Ambiguous with m7 */
{ {{1, 0}, {3, -1}, {5, 0}, {6, 0}}, "m6" },
- { {{1, 0}, {2, 0}, {5, 0}, {6, 0}}, "msus2" SUP "6" PUS },
+ { {{1, 0}, {2, 0}, {5, 0}, {6, 0}}, "m6sus2" },
/* Seventh chords */
- { {{1, 0}, {3, +1}, {5, 0}, {7, 0}}, "sus" SUP "M7" PUS },
- { {{1, 0}, {3, +1}, {5, 0}, {7, -1}}, "sus" SUP "7" PUS },
- { {{1, 0}, {3, +1}, {5, -1}, {7, -1}}, "sus" SUP "7♭5" PUS },
+ { {{1, 0}, {4, 0}, {5, +1}, {7, 0}}, SUP "+M7" PUS "sus" },
+ { {{1, 0}, {4, 0}, {5, +1}, {7, -1}}, SUP "+7" PUS "sus" },
+ { {{1, 0}, {4, 0}, {5, 0}, {7, 0}}, "M7sus" },
+ { {{1, 0}, {4, 0}, {5, 0}, {7, -1}}, "7sus" },
+ { {{1, 0}, {4, 0}, {5, -1}, {7, -1}}, "7♭5sus" },
{ {{1, 0}, {3, 0}, {5, +1}, {7, 0}}, SUP "+M7" PUS },
{ {{1, 0}, {3, 0}, {5, +1}, {7, -1}}, SUP "+7" PUS },
{ {{1, 0}, {3, 0}, {5, 0}, {7, 0}}, "M7" },
{ {{1, 0}, {3, 0}, {5, 0}, {7, -1}}, "7" },
- { {{1, 0}, {3, 0}, {5, -1}, {7, -1}}, SUP "7♭5" PUS },
+ { {{1, 0}, {3, 0}, {5, -1}, {7, -1}}, "7♭5" },
{ {{1, 0}, {3, -1}, {5, 0}, {7, 0}}, "m" SUP "M7" PUS },
{ {{1, 0}, {3, -1}, {5, 0}, {7, -1}}, "m7" },
{ {{1, 0}, {3, -1}, {5, -1}, {7, 0}}, "°" SUP "M7" PUS },
{ {{1, 0}, {3, -1}, {5, -1}, {7, -1}}, "𝆩" SUP "7" PUS },
{ {{1, 0}, {3, -1}, {5, -1}, {7, -2}}, "°" SUP "7" PUS },
- { {{1, 0}, {2, 0}, {5, 0}, {7, 0}}, "msus2" SUP "M7" PUS },
- { {{1, 0}, {2, 0}, {5, 0}, {7, -1}}, "msus2" SUP "7" PUS },
- { {{1, 0}, {2, 0}, {5, -1}, {7, 0}}, "msus2°" SUP "M7" PUS },
- { {{1, 0}, {2, 0}, {5, -1}, {7, -1}}, "msus2𝆩" SUP "7" PUS },
- { {{1, 0}, {2, 0}, {5, -1}, {7, -2}}, "msus2°" SUP "7" PUS }
+ { {{1, 0}, {2, 0}, {5, 0}, {7, 0}}, "m" SUP "M7" PUS "sus2" },
+ { {{1, 0}, {2, 0}, {5, 0}, {7, -1}}, "m7sus2" },
+ { {{1, 0}, {2, 0}, {5, -1}, {7, 0}}, "°" SUP "M7" PUS "sus2" },
+ { {{1, 0}, {2, 0}, {5, -1}, {7, -1}}, "𝆩" SUP "7" PUS "sus2" },
+ { {{1, 0}, {2, 0}, {5, -1}, {7, -2}}, "°" SUP "7" PUS "sus2" }, /* Ambiguous with 7 */
+ /* Ninth chords voiced with no 5th */
+ { {{1, 0}, {9, 0}, {4, 0}, {7, 0}}, "M9sus" },
+ { {{1, 0}, {9, 0}, {4, 0}, {7, -1}}, "9sus" },
+ { {{1, 0}, {9, 0}, {3, 0}, {7, 0}}, "M9" },
+ { {{1, 0}, {9, 0}, {3, 0}, {7, -1}}, "9" },
+ { {{1, 0}, {9, 0}, {3, -1}, {7, 0}}, "m" SUP "M9" PUS },
+ { {{1, 0}, {9, 0}, {3, -1}, {7, -1}}, "m9" },
+ { {{1, 0}, {9, -1}, {3, -1}, {7, -1}}, "m♭9" },
+ { {{1, 0}, {9, 0}, {3, -1}, {6, 0}}, "m6/9" },
+ { {{1, 0}, {9, -1}, {3, -1}, {6, 0}}, "m6/♭9" },
+ };
+
+ /* The sorting here is funny to keep the array in degree order
+ * after reducing each degree to an actual scale degree, (9 -> 2,
+ * 11 -> 4, 13 -> 6) */
+ struct { modified_degree_t degrees[5]; const char *name; } pentachords[] = {
+ /* Sixth plus 9 */
+ { {{1, 0}, {9, 0}, {3, 0}, {5, 0}, {6, 0}}, "6/9" },
+ { {{1, 0}, {9, 0}, {3, -1}, {5, 0}, {6, 0}}, "m6/9" },
+ { {{1, 0}, {9, -1}, {3, -1}, {5, 0}, {6, 0}}, "m6/♭9" },
+ /* Seventh plus altered 9 */
+ { {{1, 0}, {9, +1}, {3, 0}, {5, 0}, {7, -1}}, "7♯9" },
+ { {{1, 0}, {9, -1}, {3, 0}, {5, 0}, {7, -1}}, "7♭9" },
+ { {{1, 0}, {9, +1}, {3, 0}, {5, -1}, {7, -1}}, "7♭5♯9" },
+ { {{1, 0}, {9, -1}, {3, 0}, {5, -1}, {7, -1}}, "7♭5♭9" },
+ /* Ninth chords */
+ { {{1, 0}, {9, 0}, {4, 0}, {5, +1}, {7, 0}}, SUP "+M9" PUS "sus" },
+ { {{1, 0}, {9, 0}, {4, 0}, {5, +1}, {7, -1}}, SUP "+9" PUS "sus" },
+ { {{1, 0}, {9, 0}, {4, 0}, {5, 0}, {7, 0}}, "M9sus" },
+ { {{1, 0}, {9, 0}, {4, 0}, {5, 0}, {7, -1}}, "9sus" },
+
+ { {{1, 0}, {9, 0}, {3, 0}, {5, +1}, {7, 0}}, SUP "+M9" PUS },
+ { {{1, 0}, {9, 0}, {3, 0}, {5, +1}, {7, -1}}, SUP "+9" PUS },
+
+ { {{1, 0}, {9, 0}, {3, 0}, {5, 0}, {7, 0}}, "M9" },
+ { {{1, 0}, {9, 0}, {3, 0}, {5, 0}, {7, -1}}, "9" },
+ { {{1, 0}, {9, 0}, {3, -1}, {5, 0}, {7, 0}}, "m" SUP "M9" PUS },
+ { {{1, 0}, {9, 0}, {3, -1}, {5, 0}, {7, -1}}, "m9" },
+ { {{1, 0}, {9, -1}, {3, -1}, {5, 0}, {7, -1}}, "m♭9" },
+ { {{1, 0}, {9, 0}, {3, 0}, {5, -1}, {7, 0}}, "M9" SUP "♭5" PUS },
+ { {{1, 0}, {9, 0}, {3, 0}, {5, -1}, {7, -1}}, "9" SUP "♭5" PUS },
+ { {{1, 0}, {9, 0}, {3, -1}, {5, -1}, {7, 0}}, "m" SUP "M9♭5" PUS },
+ { {{1, 0}, {9, 0}, {3, -1}, {5, -1}, {7, -1}}, "𝆩" SUP "9" PUS },
+ { {{1, 0}, {9, -1}, {3, -1}, {5, -1}, {7, -1}}, "𝆩" SUP "♭9" PUS },
+ { {{1, 0}, {9, 0}, {3, -1}, {5, -1}, {7, -2}}, "°" SUP "9" PUS },
+ { {{1, 0}, {9, -1}, {3, -1}, {5, -1}, {7, -2}}, "°" SUP "♭9" PUS },
+ };
+
+ struct { modified_degree_t degrees[6]; const char *name; } hexachords[] = {
+ { {{1, 0}, {9, 0}, {3, 0}, {11, 0}, {5, +1}, {7, 0}}, SUP "+M11" PUS },
+ { {{1, 0}, {9, 0}, {3, 0}, {11, 0}, {5, +1}, {7, -1}}, SUP "+11" PUS },
+ { {{1, 0}, {9, 0}, {3, 0}, {11, 0}, {5, 0}, {7, 0}}, "M11" },
+ { {{1, 0}, {9, 0}, {3, 0}, {11, 0}, {5, 0}, {7, -1}}, "11" },
+ { {{1, 0}, {9, 0}, {3, -1}, {11, 0}, {5, 0}, {7, 0}}, "m" SUP "M11" PUS },
+ { {{1, 0}, {9, 0}, {3, -1}, {11, 0}, {5, 0}, {7, -1}}, "m11" },
+ { {{1, 0}, {9, -1}, {3, -1}, {11, 0}, {5, -1}, {7, -1}}, "𝆩" SUP "11" PUS },
+ { {{1, 0}, {9, -1}, {3, -1}, {11, -1}, {5, -1}, {7, -2}}, "°" SUP "11" PUS }
};
if (scherzo->chord) {
}
break;
case 3:
- for (i = 0; i < ARRAY_SIZE (triads); i++) {
+ for (i = 0; i < ARRAY_SIZE (trichords); i++) {
if (_chord_signature_matches (notes, num_notes,
- triads[i].degrees, 3,
+ trichords[i].degrees, 3,
inversion, &root))
{
- chord_name = triads[i].name;
+ chord_name = trichords[i].name;
goto CHORD_NAME_KNOWN;
}
}
break;
case 4:
- for (i = 0; i < ARRAY_SIZE(tetrachords); i++) {
+ for (i = 0; i < ARRAY_SIZE (tetrachords); i++) {
if (_chord_signature_matches (notes, num_notes,
tetrachords[i].degrees, 4,
inversion, &root))
}
}
break;
+ case 5:
+ for (i = 0; i < ARRAY_SIZE (pentachords); i++) {
+ if (_chord_signature_matches (notes, num_notes,
+ pentachords[i].degrees, 5,
+ inversion, &root))
+ {
+ chord_name = pentachords[i].name;
+ goto CHORD_NAME_KNOWN;
+ }
+ }
+ break;
+ case 6:
+ for (i = 0; i < ARRAY_SIZE (hexachords); i++) {
+ if (_chord_signature_matches (notes, num_notes,
+ hexachords[i].degrees, 6,
+ inversion, &root))
+ {
+ chord_name = hexachords[i].name;
+ goto CHORD_NAME_KNOWN;
+ }
+ }
+ break;
}
}
CHORD_NAME_KNOWN:
_pitch_str (root),
chord_name, inversion_str);
} else {
- chord_name = talloc_asprintf (local, "%s%s",
- _pitch_str (root),
- chord_name);
+ /* Don't print root pitch for octaves and inversions,
+ * (since a pitch name alone looks like a major triad) */
+ if (num_notes < 3) {
+ chord_name = talloc_strdup (local, chord_name);
+ } else {
+ chord_name = talloc_asprintf (local, "%s%s",
+ _pitch_str (root),
+ chord_name);
+ }
}
} else {
chord_name = talloc_strdup (local, "Unknown chord");