The detached buttonhole stitch for stumpwork is a simple variant of needle lace.
It is realized in the same way as the buttonhole stitch but it is worked into itself rather than into the foundation fabric.
It is embroidered on a wire support and on a nonwoven material that dissolves with water to obtain transparent shapes.
For the clarity of the pictures, the stitch is realized here on a background of linen cloth but the work remains the same.
To begin, prepare the pattern to embroider with wire. The buttonhole stitch will be fastened to it. Working from left to right, embroider rows of blanket stitch hooked in the top line of the wire but without piercing the fabric. Slide the thread under the wire at the end of the row and repeat the work the same way but this time from right to left. The 2nd and the following rows are always formed in the loops of the preceding rows.
Here is a series of pictures that will help you understand how to achieve this stitch.