+/* Number of half steps from 'root' up to 'pitch' (that is, counting
+ * the steps up a chromatic scale). */
+static int
+_pitch_from_root_in_half_steps (pitch_t pitch, pitch_t root)
+{
+ int root_midi = _pitch_and_octave_to_midi (root, 0);
+ int pitch_midi = _pitch_and_octave_to_midi (pitch, 0);
+
+ if (pitch_midi < root_midi)
+ pitch_midi += 12;
+
+ if (pitch_midi < root_midi) {
+ fprintf (stderr, "Internal error: midi values differ by more than expected.\n");
+ exit (1);
+ }
+
+ return (pitch_midi - root_midi) % 12;
+}
+
+static int
+_chord_signature_matches (analyzed_note_t *notes,
+ int num_notes,
+ modified_degree_t *degrees,
+ int num_degrees,
+ int inversion,
+ pitch_t *root)
+{
+#define MAX_DEGREES 6
+ int relative_pitches[MAX_DEGREES];
+ int i, root_index;
+
+ assert (num_degrees <= MAX_DEGREES);
+
+ if (num_notes != num_degrees)
+ return 0;
+
+ if (inversion >= num_degrees)
+ return 0;
+
+ /* We never spell simple intervals as inversions. */
+ if (num_degrees == 2 && inversion > 0)
+ return 0;
+
+ for (i = 0; i < num_degrees; i++) {
+ /* The num_degrees is in the addition just to ensure all
+ * inputs to the modulus operator remain positive. */
+ int index = (i + num_degrees - inversion) % num_degrees;
+
+ /* Again, adding a 12 to keep things positive. */
+ relative_pitches[index] =
+ (12 +
+ _modified_degree_to_half_steps (°rees[i]) -
+ _modified_degree_to_half_steps (°rees[inversion])) % 12;
+
+ }
+
+ for (i = 0; i < num_notes; i++)
+ if (notes[i].relative_pitch != relative_pitches[i])
+ return 0;
+
+ root_index = (num_notes - inversion) % num_notes;
+ *root = notes[root_index].note->pitch;
+
+ return 1;
+}
+
+static const char *
+_pitch_str (pitch_t pitch)
+{
+ switch (pitch) {
+ case PITCH_Cff:
+ return "C𝄫";
+ case PITCH_Cf:
+ return "C♭";
+ case PITCH_C:
+ return "C";
+ case PITCH_Cs:
+ return "C♯";
+ case PITCH_Css:
+ return "C𝄪";
+ case PITCH_Dff:
+ return "D𝄫";
+ case PITCH_Df:
+ return "D♭";
+ case PITCH_D:
+ return "D";
+ case PITCH_Ds:
+ return "D♯";
+ case PITCH_Dss:
+ return "D𝄪";
+ case PITCH_Eff:
+ return "E𝄫";
+ case PITCH_Ef:
+ return "E♭";
+ case PITCH_E:
+ return "E";
+ case PITCH_Es:
+ return "E♯";
+ case PITCH_Ess:
+ return "E𝄪";
+ case PITCH_Fff:
+ return "F𝄫";
+ case PITCH_Ff:
+ return "F♭";
+ case PITCH_F:
+ return "F";
+ case PITCH_Fs:
+ return "F♯";
+ case PITCH_Fss:
+ return "F𝄪";
+ case PITCH_Gff:
+ return "G𝄫";
+ case PITCH_Gf:
+ return "G♭";
+ case PITCH_G:
+ return "G";
+ case PITCH_Gs:
+ return "G♯";
+ case PITCH_Gss:
+ return "G𝄪";
+ case PITCH_Aff:
+ return "A𝄫";
+ case PITCH_Af:
+ return "A♭";
+ case PITCH_A:
+ return "A";
+ case PITCH_As:
+ return "A♯";
+ case PITCH_Ass:
+ return "A𝄪";
+ case PITCH_Bff:
+ return "B𝄫";
+ case PITCH_Bf:
+ return "B♭";
+ case PITCH_B:
+ return "B";
+ case PITCH_Bs:
+ return "B♯";
+ case PITCH_Bss:
+ return "B𝄪";
+ }
+
+ fprintf (stderr, "Internal error: Unknown pitch %d\n", pitch);
+ exit (1);
+}
+
+typedef struct chord_signature
+{
+ int num_degrees;
+ modified_degree_t degrees[MAX_DEGREES];
+ const char *name;
+} chord_signature_t;
+
+/* XXX: The superscript rise value should be relative to the current
+ * font size. Best would be for pango to support this. See:
+ *
+ * https://bugzilla.gnome.org/show_bug.cgi?id=708780
+ *
+ * For now, these are emipirically-derived values that look reasonable
+ * at the default size that score.c is using to draw the staff. If the
+ * user scales the staff up or down then these will look wrong.
+ */
+
+#define SUP "<span font='33' rise='30000'>"
+#define PUS "</span>"
+
+chord_signature_t signatures[] = {
+ /* Octave */
+ { 1, {{1, 0}}, "P8" },
+
+ /* Intervals */
+ { 2, {{1, 0}, {2, -1}}, "m2" },
+ { 2, {{1, 0}, {2, 0}}, "M2" },
+ { 2, {{1, 0}, {3, -1}}, "m3" },
+ { 2, {{1, 0}, {3, 0}}, "M3" },
+ { 2, {{1, 0}, {4, 0}}, "P4" },
+ { 2, {{1, 0}, {5, -1}}, "Tri-tone" },
+ { 2, {{1, 0}, {5, 0}}, "P5" },
+ { 2, {{1, 0}, {6, -1}}, "m6" },
+ { 2, {{1, 0}, {6, 0}}, "M6" },
+ { 2, {{1, 0}, {7, -1}}, "m7" },
+ { 2, {{1, 0}, {7, 0}}, "M7" },
+
+ /* Triads */
+ { 3, {{1, 0}, {4, 0}, {5, 0}}, "sus" },
+ { 3, {{1, 0}, {3, 0}, {5, +1}}, SUP "+" PUS },
+ { 3, {{1, 0}, {3, 0}, {5, 0}}, "" },
+ { 3, {{1, 0}, {3, -1}, {5, 0}}, "m" },
+ { 3, {{1, 0}, {3, -1}, {5, -1}}, "°" },
+ { 3, {{1, 0}, {2, 0}, {5, 0}}, "msus2" },
+
+ /* Seventh chords with no 3rd */
+ { 3, {{1, 0}, {5, +1}, {7, 0}}, SUP "+M7" PUS },
+ { 3, {{1, 0}, {5, +1}, {7, -1}}, SUP "+7" PUS },
+ { 3, {{1, 0}, {5, 0}, {7, 0}}, "M7" },
+ { 3, {{1, 0}, {5, 0}, {7, -1}}, "7" },
+ { 3, {{1, 0}, {5, -1}, {7, -1}}, "7♭5" },
+
+ /* Seventh chords with no 5th */
+ { 3, {{1, 0}, {4, 0}, {7, 0}}, "M7sus" },
+ { 3, {{1, 0}, {4, 0}, {7, -1}}, "7sus" },
+ { 3, {{1, 0}, {3, 0}, {7, 0}}, "M7" },
+ { 3, {{1, 0}, {3, 0}, {7, -1}}, "7" },
+ { 3, {{1, 0}, {3, -1}, {7, 0}}, "m" SUP "M7" PUS },
+ { 3, {{1, 0}, {3, -1}, {7, -1}}, "m7" },
+ { 3, {{1, 0}, {2, 0}, {7, 0}}, "m" SUP "M7" PUS "sus2" },
+ { 3, {{1, 0}, {2, 0}, {7, -1}}, "m7sus2" },
+
+ /* Sixth chords */
+ { 4, {{1, 0}, {4, 0}, {5, 0}, {6, 0}}, "6sus" },
+ { 4, {{1, 0}, {3, 0}, {5, 0}, {6, 0}}, "6" }, /* Ambiguous with m7 */
+ { 4, {{1, 0}, {3, -1}, {5, 0}, {6, 0}}, "m6" },
+ { 4, {{1, 0}, {2, 0}, {5, 0}, {6, 0}}, "m6sus2" },
+
+ /* Seventh chords */
+ { 4, {{1, 0}, {4, 0}, {5, +1}, {7, 0}}, SUP "+M7" PUS "sus" },
+ { 4, {{1, 0}, {4, 0}, {5, +1}, {7, -1}}, SUP "+7" PUS "sus" },
+ { 4, {{1, 0}, {4, 0}, {5, 0}, {7, 0}}, "M7sus" },
+ { 4, {{1, 0}, {4, 0}, {5, 0}, {7, -1}}, "7sus" },
+ { 4, {{1, 0}, {4, 0}, {5, -1}, {7, -1}}, "7♭5sus" },
+ { 4, {{1, 0}, {3, 0}, {5, +1}, {7, 0}}, SUP "+M7" PUS },
+ { 4, {{1, 0}, {3, 0}, {5, +1}, {7, -1}}, SUP "+7" PUS },
+ { 4, {{1, 0}, {3, 0}, {5, 0}, {7, 0}}, "M7" },
+ { 4, {{1, 0}, {3, 0}, {5, 0}, {7, -1}}, "7" },
+ { 4, {{1, 0}, {3, 0}, {5, -1}, {7, -1}}, "7♭5" },
+ { 4, {{1, 0}, {3, -1}, {5, 0}, {7, 0}}, "m" SUP "M7" PUS },
+ { 4, {{1, 0}, {3, -1}, {5, 0}, {7, -1}}, "m7" },
+ { 4, {{1, 0}, {3, -1}, {5, -1}, {7, 0}}, "°" SUP "M7" PUS },
+ { 4, {{1, 0}, {3, -1}, {5, -1}, {7, -1}}, "𝆩" SUP "7" PUS },
+ { 4, {{1, 0}, {3, -1}, {5, -1}, {7, -2}}, "°" SUP "7" PUS },
+ { 4, {{1, 0}, {2, 0}, {5, 0}, {7, 0}}, "m" SUP "M7" PUS "sus2" },
+ { 4, {{1, 0}, {2, 0}, {5, 0}, {7, -1}}, "m7sus2" },
+ { 4, {{1, 0}, {2, 0}, {5, -1}, {7, 0}}, "°" SUP "M7" PUS "sus2" },
+ { 4, {{1, 0}, {2, 0}, {5, -1}, {7, -1}}, "𝆩" SUP "7" PUS "sus2" },
+ { 4, {{1, 0}, {2, 0}, {5, -1}, {7, -2}}, "°" SUP "7" PUS "sus2" }, /* Ambiguous with 7 */
+
+ /* The sorting for chords with degree higher than 9 is funny
+ * to keep the array in degree order after reducing each
+ * degree to an actual scale degree, (9 -> 2, 11 -> 4, 13 ->
+ * 6) */
+
+ /* Ninth chords voiced with no 5th */
+ { 4, {{1, 0}, {9, 0}, {4, 0}, {7, 0}}, "M9sus" },
+ { 4, {{1, 0}, {9, 0}, {4, 0}, {7, -1}}, "9sus" },
+ { 4, {{1, 0}, {9, 0}, {3, 0}, {7, 0}}, "M9" },
+ { 4, {{1, 0}, {9, 0}, {3, 0}, {7, -1}}, "9" },
+ { 4, {{1, 0}, {9, 0}, {3, -1}, {7, 0}}, "m" SUP "M9" PUS },
+ { 4, {{1, 0}, {9, 0}, {3, -1}, {7, -1}}, "m9" },
+ { 4, {{1, 0}, {9, -1}, {3, -1}, {7, -1}}, "m♭9" },
+ { 4, {{1, 0}, {9, 0}, {3, -1}, {6, 0}}, "m6/9" },
+ { 4, {{1, 0}, {9, -1}, {3, -1}, {6, 0}}, "m6/♭9" },
+
+ /* Sixth plus 9 */
+ { 5, {{1, 0}, {9, 0}, {3, 0}, {5, 0}, {6, 0}}, "6/9" },
+ { 5, {{1, 0}, {9, 0}, {3, -1}, {5, 0}, {6, 0}}, "m6/9" },
+ { 5, {{1, 0}, {9, -1}, {3, -1}, {5, 0}, {6, 0}}, "m6/♭9" },
+
+ /* Seventh plus altered 9 */
+ { 5, {{1, 0}, {9, +1}, {3, 0}, {5, 0}, {7, -1}}, "7♯9" },
+ { 5, {{1, 0}, {9, -1}, {3, 0}, {5, 0}, {7, -1}}, "7♭9" },
+ { 5, {{1, 0}, {9, +1}, {3, 0}, {5, -1}, {7, -1}}, "7♭5♯9" },
+ { 5, {{1, 0}, {9, -1}, {3, 0}, {5, -1}, {7, -1}}, "7♭5♭9" },
+
+ /* Ninth chords */
+ { 5, {{1, 0}, {9, 0}, {4, 0}, {5, +1}, {7, 0}}, SUP "+M9" PUS "sus" },
+ { 5, {{1, 0}, {9, 0}, {4, 0}, {5, +1}, {7, -1}}, SUP "+9" PUS "sus" },
+ { 5, {{1, 0}, {9, 0}, {4, 0}, {5, 0}, {7, 0}}, "M9sus" },
+ { 5, {{1, 0}, {9, 0}, {4, 0}, {5, 0}, {7, -1}}, "9sus" },
+ { 5, {{1, 0}, {9, 0}, {3, 0}, {5, +1}, {7, 0}}, SUP "+M9" PUS },
+ { 5, {{1, 0}, {9, 0}, {3, 0}, {5, +1}, {7, -1}}, SUP "+9" PUS },
+ { 5, {{1, 0}, {9, 0}, {3, 0}, {5, 0}, {7, 0}}, "M9" },
+ { 5, {{1, 0}, {9, 0}, {3, 0}, {5, 0}, {7, -1}}, "9" },
+ { 5, {{1, 0}, {9, 0}, {3, -1}, {5, 0}, {7, 0}}, "m" SUP "M9" PUS },
+ { 5, {{1, 0}, {9, 0}, {3, -1}, {5, 0}, {7, -1}}, "m9" },
+ { 5, {{1, 0}, {9, -1}, {3, -1}, {5, 0}, {7, -1}}, "m♭9" },
+ { 5, {{1, 0}, {9, 0}, {3, 0}, {5, -1}, {7, 0}}, "M9" SUP "♭5" PUS },
+ { 5, {{1, 0}, {9, 0}, {3, 0}, {5, -1}, {7, -1}}, "9" SUP "♭5" PUS },
+ { 5, {{1, 0}, {9, 0}, {3, -1}, {5, -1}, {7, 0}}, "m" SUP "M9♭5" PUS },
+ { 5, {{1, 0}, {9, 0}, {3, -1}, {5, -1}, {7, -1}}, "𝆩" SUP "9" PUS },
+ { 5, {{1, 0}, {9, -1}, {3, -1}, {5, -1}, {7, -1}}, "𝆩" SUP "♭9" PUS },
+ { 5, {{1, 0}, {9, 0}, {3, -1}, {5, -1}, {7, -2}}, "°" SUP "9" PUS },
+ { 5, {{1, 0}, {9, -1}, {3, -1}, {5, -1}, {7, -2}}, "°" SUP "♭9" PUS },
+
+ /* Eleventh chords */
+ { 6, {{1, 0}, {9, 0}, {3, 0}, {11, 0}, {5, +1}, {7, 0}}, SUP "+M11" PUS },
+ { 6, {{1, 0}, {9, 0}, {3, 0}, {11, 0}, {5, +1}, {7, -1}}, SUP "+11" PUS },
+ { 6, {{1, 0}, {9, 0}, {3, 0}, {11, 0}, {5, 0}, {7, 0}}, "M11" },
+ { 6, {{1, 0}, {9, 0}, {3, 0}, {11, 0}, {5, 0}, {7, -1}}, "11" },
+ { 6, {{1, 0}, {9, 0}, {3, -1}, {11, 0}, {5, 0}, {7, 0}}, "m" SUP "M11" PUS },
+ { 6, {{1, 0}, {9, 0}, {3, -1}, {11, 0}, {5, 0}, {7, -1}}, "m11" },
+ { 6, {{1, 0}, {9, -1}, {3, -1}, {11, 0}, {5, -1}, {7, -1}}, "𝆩" SUP "11" PUS },
+ { 6, {{1, 0}, {9, -1}, {3, -1}, {11, -1}, {5, -1}, {7, -2}}, "°" SUP "11" PUS }
+};
+
+static void
+scherzo_adjust_note_to_match_modified_degree (score_note_t *note,
+ pitch_t root,
+ modified_degree_t *degree)
+{
+ pitch_name_t name = PITCH_NAME (note->pitch);
+ pitch_accidental_t accidental = PITCH_ACCIDENTAL (note->pitch);
+ int degree_zero_based = (degree->degree - 1) % 7;
+ int degree_delta;
+
+ int note_degree_zero_based = name - PITCH_NAME (root);
+ if (note_degree_zero_based < 0)
+ note_degree_zero_based += 7;
+
+ if (note_degree_zero_based == degree_zero_based)
+ return;
+
+ degree_delta = note_degree_zero_based - degree_zero_based;
+ if (degree_delta > 3)
+ degree_delta = - (7 - degree_delta);
+ if (degree_delta < -3)
+ degree_delta = - (-7 - degree_delta);
+
+ if (abs (degree_delta) != 1) {
+ fprintf (stderr, "Internal error: Cannot adjust a note more than one degree (%d vs. %d).\n", note_degree_zero_based + 1, degree->degree);
+ exit (1);
+ }
+
+ if (degree_delta == -1) {
+ if (name == PITCH_NAME_B) {
+ name = PITCH_NAME_C;
+ note->octave++;
+ } else {
+ name++;
+ }
+ switch (name) {
+ case PITCH_NAME_D:
+ case PITCH_NAME_E:
+ case PITCH_NAME_G:
+ case PITCH_NAME_A:
+ case PITCH_NAME_B:
+ accidental -= 2;
+ break;
+ case PITCH_NAME_C:
+ case PITCH_NAME_F:
+ accidental -= 1;
+ break;
+ }
+ }
+
+ if (degree_delta == +1) {
+ if (name == PITCH_NAME_C) {
+ name = PITCH_NAME_B;
+ note->octave--;
+ } else {
+ name--;
+ }
+ switch (name) {
+ case PITCH_NAME_C:
+ case PITCH_NAME_D:
+ case PITCH_NAME_F:
+ case PITCH_NAME_G:
+ case PITCH_NAME_A:
+ accidental += 2;
+ break;
+ case PITCH_NAME_E:
+ case PITCH_NAME_B:
+ accidental += 1;
+ }
+ }
+
+ if (accidental < 0 || accidental > PITCH_ACCIDENTAL_DOUBLE_SHARP) {
+ fprintf (stderr, "Internal error: Trying to adjust an accidental out of range (degree_delta == %d (%d - %d), new accidental == %d).\n", degree_delta, note_degree_zero_based, degree_zero_based, accidental);
+ exit (1);
+ }
+
+ note->pitch = PITCH (name, accidental);
+}
+
+static void
+_spell_chord_by_signature (note_group_t *chord,
+ int num_notes,
+ chord_signature_t *signature,
+ pitch_t root)
+{
+ int i, degree, note_half_steps, degree_half_steps;
+ int root_midi;
+
+ /* Sanitize root to eliminate things like double-flats,
+ * double-sharps, Cb, E#, etc. */
+ root_midi = _pitch_and_octave_to_midi (root, 0);
+ _midi_to_pitch_and_octave (root_midi, &root, NULL);
+
+ for (i = 0; i < num_notes; i++) {
+ note_half_steps = _pitch_from_root_in_half_steps (chord->notes[i]->pitch,
+ root);
+ for (degree = 0; degree < signature->num_degrees; degree++) {
+ degree_half_steps = _modified_degree_to_half_steps (&signature->degrees[degree]);
+ if (note_half_steps == degree_half_steps) {
+ scherzo_adjust_note_to_match_modified_degree (chord->notes[i],
+ root,
+ &signature->degrees[degree]);
+ break;
+ }
+ }
+ if (note_half_steps != degree_half_steps) {
+ fprintf (stderr, "Internal error: Chord and degree mis-match\n");
+ exit (1);
+ }
+ }
+}
+
+static void
+scherzo_analyze_chord (scherzo_t *scherzo)
+{
+ void *local = talloc_new (NULL);
+ analyzed_note_t *notes;
+ note_group_t *note_group;
+ unsigned i, j, num_notes;
+ int bass_pitch, inversion;
+ pitch_t root;
+ chord_signature_t *match = NULL;
+ char *chord_name;
+
+ if (scherzo->pedal_pressed)
+ note_group = &scherzo->notes_pedaled;
+ else
+ note_group = &scherzo->notes_pressed;
+
+ num_notes = note_group->num_notes;
+
+ if (scherzo->chord) {
+ score_remove_chord (scherzo->chord);
+ scherzo->chord = NULL;
+ }
+
+ if (num_notes <= 1)
+ goto DONE;
+
+ notes = talloc_array (local, analyzed_note_t, num_notes);
+ if (notes == NULL)
+ goto DONE;
+
+ for (i = 0; i < num_notes; i++) {
+ score_note_t *note = note_group->notes[i];
+ notes[i].note = note;
+ notes[i].midi_pitch = _pitch_and_octave_to_midi (note->pitch,
+ note->octave);
+ /* Relative pitch will be filled in after sorting. */
+ notes[i].relative_pitch = 0;
+ }
+
+ /* First, sort by midi pitch to find the bass note. */
+ qsort (notes, num_notes, sizeof (analyzed_note_t),
+ _compare_analyzed_note_by_midi_pitch);
+
+ bass_pitch = notes[0].midi_pitch;
+
+ /* With the bass note identified, we can find all relative pitches. */
+ for (i = 0; i < num_notes; i++) {
+ notes[i].relative_pitch = notes[i].midi_pitch - bass_pitch;
+ while (notes[i].relative_pitch >= 12)
+ notes[i].relative_pitch -= 12;
+ }
+
+ /* Now, sort again by relative pitch. */
+ qsort (notes, num_notes, sizeof (analyzed_note_t),
+ _compare_analyzed_note_by_relative_pitch);
+
+ /* Finally, eliminate all duplicate notes. */
+ for (i = 0; i < num_notes - 1; i++) {
+ if (notes[i+1].relative_pitch == notes[i].relative_pitch) {
+ j = i+1;
+ while (j < num_notes &&
+ notes[j].relative_pitch == notes[i].relative_pitch)
+ {
+ j++;
+ }
+ /* The loop incremented j one past the last
+ * duplicate. Decrement so that it points to the
+ * last duplicate (and is guaranteed to not exceed
+ * the array bounds).*/
+ j--;
+
+ if (j < num_notes - 1) {
+ memmove (¬es[i+1], ¬es[j+1],
+ (num_notes - j) * sizeof (analyzed_note_t));
+ }
+
+ num_notes -= (j - i);
+ }
+ }
+
+ for (inversion = 0; inversion < 4; inversion++) {
+ for (i = 0; i < ARRAY_SIZE (signatures); i++) {
+ if (_chord_signature_matches (notes, num_notes,
+ signatures[i].degrees,
+ signatures[i].num_degrees,
+ inversion, &root))
+ {
+ match = &signatures[i];
+ goto HAVE_MATCH;
+ }
+ }
+ }
+HAVE_MATCH:
+
+ chord_name = (char *) signatures[i].name;
+
+ if (match) {
+ /* 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);
+ }
+
+ _spell_chord_by_signature (note_group, num_notes,
+ match, root);
+ } else {
+ chord_name = talloc_strdup (local, "?");
+ }
+
+ scherzo->chord = score_add_chord (scherzo->treble, chord_name);
+
+DONE:
+ talloc_free (local);
+}
+
+static void
+note_group_init (void *ctx, note_group_t *group)
+{
+ group->ctx = ctx;
+ group->notes = NULL;
+ group->size = 0;
+ group->num_notes = 0;
+}
+
+static void
+note_group_add_note (note_group_t *group, score_note_t *note)
+{
+ int i;
+
+ /* Do nothing if note is already in group. */
+ for (i = 0; i < group->num_notes; i++) {
+ if (group->notes[i]->pitch == note->pitch &&
+ group->notes[i]->octave == note->octave)
+ {
+ return;
+ }
+ }
+
+ group->num_notes++;
+
+ if (group->num_notes > group->size) {
+ group->size++;
+ group->notes = talloc_realloc (group->ctx, group->notes,
+ score_note_t*, group->size);
+
+ if (group->notes == NULL) {
+ fprintf (stderr, "Out of memory.\n");
+ exit (1);
+ }
+ }
+
+ group->notes[group->num_notes - 1] = note;