X-Git-Url: https://git.cworth.org/git?a=blobdiff_plain;f=scherzo.c;h=5c24a543baaf4e4f63a38d304fabacfd57f8c786;hb=3f6802b662f5e8c13fa44ea2e500da722f654a73;hp=8c6d394934087dd61da9bab7fbd16dc0a6111d3a;hpb=68466b09f103fd72188afe18f8d01f11f2163fde;p=scherzo diff --git a/scherzo.c b/scherzo.c index 8c6d394..5c24a54 100644 --- a/scherzo.c +++ b/scherzo.c @@ -450,10 +450,15 @@ static int _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; @@ -489,51 +494,126 @@ _chord_signature_matches (analyzed_note_t *notes, int num_notes, modified_degree_t *degrees, int num_degrees, - int *inversion_ret) + int inversion, + score_pitch_t *root) { -#define MAX_DEGREES 4 +#define MAX_DEGREES 6 int relative_pitches[MAX_DEGREES]; - int inversion, max_inversions; - int i; + int i, root_index; assert (num_degrees <= MAX_DEGREES); if (num_notes != num_degrees) - return 0; + return 0; - max_inversions = num_degrees; + if (inversion >= num_degrees) + return 0; /* We never spell simple intervals as inversions. */ - if (num_degrees == 2) - max_inversions = 1; - - for (inversion = 0; inversion < max_inversions; inversion++) { - 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; + 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]) - goto NEXT_INVERSION; + for (i = 0; i < num_notes; i++) + if (notes[i].relative_pitch != relative_pitches[i]) + return 0; - *inversion_ret = inversion; + root_index = (num_notes - inversion) % num_notes; + *root = notes[root_index].note->pitch; - return 1; + return 1; +} - NEXT_INVERSION: - ; +static const char * +_pitch_str (score_pitch_t pitch) +{ + switch (pitch) { + case SCORE_PITCH_Cff: + return "C𝄫"; + case SCORE_PITCH_Cf: + return "C♭"; + case SCORE_PITCH_C: + return "C"; + case SCORE_PITCH_Cs: + return "C♯"; + case SCORE_PITCH_Css: + return "C𝄪"; + case SCORE_PITCH_Dff: + return "D𝄫"; + case SCORE_PITCH_Df: + return "D♭"; + case SCORE_PITCH_D: + return "D"; + case SCORE_PITCH_Ds: + return "D♯"; + case SCORE_PITCH_Dss: + return "D𝄪"; + case SCORE_PITCH_Eff: + return "E𝄫"; + case SCORE_PITCH_Ef: + return "E♭"; + case SCORE_PITCH_E: + return "E"; + case SCORE_PITCH_Es: + return "E♯"; + case SCORE_PITCH_Ess: + return "E𝄪"; + case SCORE_PITCH_Fff: + return "F𝄫"; + case SCORE_PITCH_Ff: + return "F♭"; + case SCORE_PITCH_F: + return "F"; + case SCORE_PITCH_Fs: + return "F♯"; + case SCORE_PITCH_Fss: + return "F𝄪"; + case SCORE_PITCH_Gff: + return "G𝄫"; + case SCORE_PITCH_Gf: + return "G♭"; + case SCORE_PITCH_G: + return "G"; + case SCORE_PITCH_Gs: + return "G♯"; + case SCORE_PITCH_Gss: + return "G𝄪"; + case SCORE_PITCH_Aff: + return "A𝄫"; + case SCORE_PITCH_Af: + return "A♭"; + case SCORE_PITCH_A: + return "A"; + case SCORE_PITCH_As: + return "A♯"; + case SCORE_PITCH_Ass: + return "A𝄪"; + case SCORE_PITCH_Bff: + return "B𝄫"; + case SCORE_PITCH_Bf: + return "B♭"; + case SCORE_PITCH_B: + return "B"; + case SCORE_PITCH_Bs: + return "B♯"; + case SCORE_PITCH_Bss: + return "B𝄪"; } - return 0; + fprintf (stderr, "Internal error: Unknown pitch %d\n", pitch); + exit (1); } static void @@ -544,6 +624,7 @@ scherzo_analyze_chord (scherzo_t *scherzo) note_group_t *note_group; unsigned i, j, num_notes; int bass_pitch, inversion; + score_pitch_t root; const char *chord_name = NULL; if (scherzo->pedal_pressed) @@ -554,40 +635,148 @@ scherzo_analyze_chord (scherzo_t *scherzo) num_notes = note_group->num_notes; struct { modified_degree_t degrees[1]; const char *name; } octaves[] = { - { {{1, 0}}, "Octave"} + { {{1, 0}}, " Octave"} }; struct { modified_degree_t degrees[2]; const char *name; } intervals[] = { - { {{1, 0}, {2, -1}}, "Minor 2nd"}, - { {{1, 0}, {2, 0}}, "Major 2nd"}, - { {{1, 0}, {3, -1}}, "Minor 3rd"}, - { {{1, 0}, {3, 0}}, "Major 3rd"}, - { {{1, 0}, {4, 0}}, "Perfect 4th"}, - { {{1, 0}, {5, -1}}, "Diminished 5th"}, - { {{1, 0}, {5, 0}}, "Perfect 5th"}, - { {{1, 0}, {6, -1}}, "Minor 6th"}, - { {{1, 0}, {6, 0}}, "Major 6th"}, - { {{1, 0}, {7, -1}}, "Minor 7th"}, - { {{1, 0}, {7, 0}}, "Major 7th"} + { {{1, 0}, {2, -1}}, " Minor 2nd"}, + { {{1, 0}, {2, 0}}, " Major 2nd"}, + { {{1, 0}, {3, -1}}, " Minor 3rd"}, + { {{1, 0}, {3, 0}}, " Major 3rd"}, + { {{1, 0}, {4, 0}}, " Perfect 4th"}, + { {{1, 0}, {5, -1}}, " Diminished 5th"}, + { {{1, 0}, {5, 0}}, " Perfect 5th"}, + { {{1, 0}, {6, -1}}, " Minor 6th"}, + { {{1, 0}, {6, 0}}, " Major 6th"}, + { {{1, 0}, {7, -1}}, " Minor 7th"}, + { {{1, 0}, {7, 0}}, " Major 7th"} }; - struct { modified_degree_t degrees[3]; const char *name; } triads[] = { - { {{1, 0}, {3, 0}, {5, +1}}, "Augmented triad" }, - { {{1, 0}, {3, 0}, {5, 0}}, "Major triad" }, - { {{1, 0}, {3, -1}, {5, 0}}, "Minor triad" }, - { {{1, 0}, {3, -1}, {5, -1}}, "Diminished triad" } +/* 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 "" +#define PUS "" + + 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" }, + /* 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}, {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}}, "m6sus2" }, + /* Seventh chords */ + { {{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}}, "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}}, "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" }, }; - struct { modified_degree_t degrees[4]; const char *name; } sevenths[] = { - { {{1, 0}, {3, 0}, {5, +1}, {7, 0}}, "Augmented/major 7" }, - { {{1, 0}, {3, 0}, {5, +1}, {7, -1}}, "Augmented 7" }, - { {{1, 0}, {3, 0}, {5, 0}, {7, 0}}, "Major 7" }, - { {{1, 0}, {3, 0}, {5, 0}, {7, -1}}, "Dominant 7" }, - { {{1, 0}, {3, -1}, {5, 0}, {7, 0}}, "Minor/major 7" }, - { {{1, 0}, {3, -1}, {5, 0}, {7, -1}}, "Minor 7" }, - { {{1, 0}, {3, -1}, {5, -1}, {7, 0}}, "Diminished/major 7" }, - { {{1, 0}, {3, -1}, {5, -1}, {7, -1}}, "Half-diminished 7" }, - { {{1, 0}, {3, -1}, {5, -1}, {7, -2}}, "Diminished 7" } + /* 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 }, + + /* FIXME: I don't have names for these last three after + * dropping the 5th from the voicing. That suggests to me that + * I'm missing names for these with a perfect 5th in the list + * above. */ + { {{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) { @@ -652,48 +841,77 @@ scherzo_analyze_chord (scherzo_t *scherzo) } } - switch (num_notes) { - case 1: - for (i = 0; i < ARRAY_SIZE (octaves); i++) { - if (_chord_signature_matches (notes, num_notes, - octaves[i].degrees, 1, &inversion)) - { - chord_name = octaves[i].name; - break; + for (inversion = 0; inversion < 4; inversion++) { + switch (num_notes) { + case 1: + for (i = 0; i < ARRAY_SIZE (octaves); i++) { + if (_chord_signature_matches (notes, num_notes, + octaves[i].degrees, 1, + inversion, &root)) + { + chord_name = octaves[i].name; + goto CHORD_NAME_KNOWN; + } } - } - break; - case 2: - for (i = 0; i < ARRAY_SIZE (intervals); i++) { - if (_chord_signature_matches (notes, num_notes, - intervals[i].degrees, 2, &inversion)) - { - chord_name = intervals[i].name; - break; + break; + case 2: + for (i = 0; i < ARRAY_SIZE (intervals); i++) { + if (_chord_signature_matches (notes, num_notes, + intervals[i].degrees, 2, + inversion, &root)) + { + chord_name = intervals[i].name; + goto CHORD_NAME_KNOWN; + } } - } - break; - case 3: - for (i = 0; i < ARRAY_SIZE (triads); i++) { - if (_chord_signature_matches (notes, num_notes, - triads[i].degrees, 3, &inversion)) - { - chord_name = triads[i].name; - break; + break; + case 3: + for (i = 0; i < ARRAY_SIZE (trichords); i++) { + if (_chord_signature_matches (notes, num_notes, + trichords[i].degrees, 3, + inversion, &root)) + { + chord_name = trichords[i].name; + goto CHORD_NAME_KNOWN; + } } - } - break; - case 4: - for (i = 0; i < ARRAY_SIZE(sevenths); i++) { - if (_chord_signature_matches (notes, num_notes, - sevenths[i].degrees, 4, &inversion)) - { - chord_name = sevenths[i].name; - break; + break; + case 4: + for (i = 0; i < ARRAY_SIZE (tetrachords); i++) { + if (_chord_signature_matches (notes, num_notes, + tetrachords[i].degrees, 4, + inversion, &root)) + { + chord_name = tetrachords[i].name; + goto CHORD_NAME_KNOWN; + } + } + 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; } - break; } + CHORD_NAME_KNOWN: if (chord_name) { if (inversion) { @@ -713,10 +931,13 @@ scherzo_analyze_chord (scherzo_t *scherzo) inversion); exit(1); } - chord_name = talloc_asprintf (local, "%s %s", + chord_name = talloc_asprintf (local, "%s%s %s", + _pitch_str (root), chord_name, inversion_str); } else { - chord_name = talloc_strdup (local, chord_name); + chord_name = talloc_asprintf (local, "%s%s", + _pitch_str (root), + chord_name); } } else { chord_name = talloc_strdup (local, "Unknown chord");