Instrumentally

They will argue that the end being essentially beneficial, the means become instrumentally so.

Institutionally based, restrictive relationships, such as those among family members or professional colleagues, must thus be contrasted with instrumentally based, nonrestrictive relationships serving the aims of practical pursuits, such as those between freely practicing experts and their clients or between sellers and buyers. In instrumentally structured situations it is not necessary for the participants to curb their needs, because the mere expression of needs in no way compels others to gratify them, as it tends to do in the family.

an instrumentally accompanied song

join in instrumentally

In a song that has vocals, the intro is often played instrumentally and serves to establish the overall feel of the song.