The C Locrian scale has 7 notes: C – D♭ – E♭ – F – G♭ – A♭ – B♭. Locrian is the darkest mode: a minor scale with a ♭2 and a ♭5, built on the 7th note of the major scale. Its root chord is diminished, so it is used for tension rather than as a home key.
Compared with the C major scale it has ♭2 (D♭ instead of D), ♭3 (E♭ instead of E), ♭5 (G♭ instead of G), ♭6 (A♭ instead of A), ♭7 (B♭ instead of B).
The explorer above is set to C Locrian: the whole neck is mapped, and you can zoom into any of its 7 positions, change the labels to degrees or fingers, and hear it up, down and in patterns.