Scordatura

Of course, German violinist Hans Hake (1628 – after 1667) includes three works in Vorstimmung ("upset tuning") for two violins (#25, #29, & #33) in his collection "Ander Theil Newer Pavanen,…" (Stade: Elias Holwein, 1654) making this attribution false.

The viola d'amore used a great number of different tunings and writing music for it in scordatura notation was a natural choice for composers of the time.

Other kinds of scordatura occur most commonly in solo double bass literature, especially including one that raises all four strings a whole step to F♯'-B'-E-A.

[6] It is sometimes suggested that classical guitarists wishing to read Renaissance lute or vihuela tablature tune their guitar E-A-d-f♯-b-e' since these instruments in this period usually have the major third between the 3rd and 4th strings[citation needed].

Conversely, other tuning patterns are rare, with the few popular acts using them commonly widely recognized for the fact (prominent examples being the bands Sonic Youth and Soundgarden).

Information on the scordatura of Rosary Sonata XI by Heinrich Ignaz Franz Biber
Violin with strings crossed for Biber's Resurrection sonata