diff --git a/src/gabc/gabc-glyphs-determination.c b/src/gabc/gabc-glyphs-determination.c
index b278a5a5c..8402e7746 100644
--- a/src/gabc/gabc-glyphs-determination.c
+++ b/src/gabc/gabc-glyphs-determination.c
@@ -904,7 +904,8 @@ gregorio_glyph *gabc_det_glyphs_from_notes(gregorio_note *current_note,
             } else {
                 /* only handle the multi-note case here; the single-note
                  * case will be added normally by the state machine */
-                if (is_tail_liquescentia(current_note->u.note.liquescentia)) {
+                if (is_tail_liquescentia(current_note->u.note.liquescentia)
+                        && current_glyph_type > G_PUNCTA_INCLINATA) {
                     /* once we hit a liquescent, that's the end of a string of
                      * fused notes */
                     liquescentia |= current_note->u.note.liquescentia;
@@ -923,6 +924,17 @@ gregorio_glyph *gabc_det_glyphs_from_notes(gregorio_note *current_note,
                     case S_QUADRATUM:
                     case S_QUILISMA_QUADRATUM:
                         /* these are fusable */
+                        if (current_glyph_type <= G_PUNCTA_INCLINATA) {
+                            /* if we had some puncta inclinata, then end them */
+                            close_glyph(&last_glyph, current_glyph_type,
+                                    &current_glyph_first_note,
+                                    liquescentia, current_note->previous);
+                            if (!(current_note->u.note.liquescentia
+                                        & L_INITIO_DEBILIS)) {
+                                current_note->u.note.liquescentia |= L_FUSED;
+                                liquescentia |= L_FUSED;
+                            }
+                        }
                         next_glyph_type = current_glyph_type = G_FUSED;
                         add = false;
                         break;
diff --git a/src/gregoriotex/gregoriotex-write.c b/src/gregoriotex/gregoriotex-write.c
index c74c928e6..420dee946 100644
--- a/src/gregoriotex/gregoriotex-write.c
+++ b/src/gregoriotex/gregoriotex-write.c
@@ -259,8 +259,10 @@ static grestyle_style gregoriotex_next_ignore_style = ST_NO_STYLE;
  */
 
 static const char *gregoriotex_determine_liquescentia(
-        gtex_glyph_liquescentia type, gregorio_liquescentia liquescentia)
+        gtex_glyph_liquescentia type, const gregorio_glyph *const glyph)
 {
+    gregorio_liquescentia liquescentia = glyph->u.notes.liquescentia;
+
     switch (type) {
     case LG_ALL:
         break;
@@ -270,6 +272,12 @@ static const char *gregoriotex_determine_liquescentia(
     case LG_ONLY_DEMINUTUS:
         liquescentia &= L_INITIO_DEBILIS | L_DEMINUTUS;
         break;
+    case LG_FUSIBLE_INITIO:
+        if (glyph->u.notes.fuse_to_next_glyph) {
+            liquescentia &= L_INITIO_DEBILIS;
+            break;
+        }
+        /* else fall through to next case */
     case LG_NONE:
         liquescentia = L_NO_LIQUESCENTIA;
         break;
@@ -325,8 +333,7 @@ static const char *compute_glyph_name(const gregorio_glyph *const glyph,
 {
     static char buf[BUFSIZE];
 
-    const char *liquescentia = gregoriotex_determine_liquescentia(ltype,
-            glyph->u.notes.liquescentia);
+    const char *liquescentia = gregoriotex_determine_liquescentia(ltype, glyph);
     gregorio_note *current_note;
     int ambitus1, ambitus2, ambitus3, fuse_ambitus = 0;
     const char *fuse_head = "", *fuse_tail = "";
@@ -404,8 +411,11 @@ static const char *compute_glyph_name(const gregorio_glyph *const glyph,
 
     current_note = glyph->u.notes.first_note;
     if (is_single_note) {
-        gregorio_snprintf(buf, BUFSIZE, "%s%s%s%s", fuse_head, shape,
-                tex_ambitus[fuse_ambitus], fuse_tail);
+        if (liquescentia == LIQ_Nothing) {
+            liquescentia = "";
+        }
+        gregorio_snprintf(buf, BUFSIZE, "%s%s%s%s%s", fuse_head, shape,
+                tex_ambitus[fuse_ambitus], liquescentia, fuse_tail);
         return buf;
     }
     if (!current_note->next) {
@@ -494,7 +504,7 @@ static const char *gregoriotex_determine_note_glyph_name(gregorio_note *note,
     case S_PUNCTUM_INCLINATUM_AUCTUS:
         return SHAPE_PunctumInclinatumAuctus;
     case S_PUNCTUM:
-        return compute_glyph_name(glyph, SHAPE_Punctum, LG_NONE, true);
+        return compute_glyph_name(glyph, SHAPE_Punctum, LG_FUSIBLE_INITIO, true);
     case S_PUNCTUM_AUCTUS_ASCENDENS:
         return SHAPE_PunctumAscendens;
     case S_PUNCTUM_AUCTUS_DESCENDENS:
@@ -1989,8 +1999,12 @@ static void gregoriotex_write_note(FILE *f, gregorio_note *note,
         case L_AUCTUS_DESCENDENS:
             note->u.note.shape = S_PUNCTUM_AUCTUS_DESCENDENS;
             break;
-        case L_DEMINUTUS:
         case L_INITIO_DEBILIS:
+            if (glyph->u.notes.fuse_to_next_glyph > 0) {
+                break;
+            }
+            /* else fall through to next case */
+        case L_DEMINUTUS:
             note->u.note.shape = S_PUNCTUM_DEMINUTUS;
         default:
             break;
@@ -2580,8 +2594,12 @@ static void gregoriotex_write_glyph(FILE *f, gregorio_syllable *syllable,
                 glyph->u.notes.first_note->u.note.shape =
                         S_PUNCTUM_AUCTUS_DESCENDENS;
                 break;
-            case L_DEMINUTUS:
             case L_INITIO_DEBILIS:
+            if (glyph->u.notes.fuse_to_next_glyph > 0) {
+                break;
+            }
+            /* else fall through to next case */
+            case L_DEMINUTUS:
                 glyph->u.notes.first_note->u.note.shape = S_PUNCTUM_DEMINUTUS;
             default:
                 break;
diff --git a/src/gregoriotex/gregoriotex.h b/src/gregoriotex/gregoriotex.h
index 69bd4dfde..4f43bdfcf 100644
--- a/src/gregoriotex/gregoriotex.h
+++ b/src/gregoriotex/gregoriotex.h
@@ -89,7 +89,8 @@ typedef enum gtex_glyph_liquescentia {
     LG_ALL = 0, /* for glyphs that accept all liquecentiae */
     LG_NO_INITIO, /* for glyphs that don't accept initio debilis */
     LG_NONE, /* for glyphs that don't accept liquescentia */
-    LG_ONLY_DEMINUTUS
+    LG_ONLY_DEMINUTUS,
+    LG_FUSIBLE_INITIO
 } gtex_glyph_liquescentia;
 
 typedef enum gtex_sign_type {