Notation & reading
Ottava
Ottava is an instruction to play the marked passage an octave higher or lower than written, notated 8va above the staff or 8vb below it, and cancelled by the word loco.
It exists to keep music readable. A violin passage high above the staff would need six or seven ledger lines; writing it an octave lower with 8va above puts the notes back on and near the staff where the eye can read shapes rather than count lines.
The dotted line after the numeral shows how far the instruction extends, and loco, Italian for "in place", means resume playing as written. 15ma, two octaves, exists but is rare outside piano music.
Double bass parts are a special case: the instrument sounds an octave lower than written as a matter of course, so an 8va marking in a bass part is relative to the already-transposed notation.
Related terms
Every term in this glossary is taught in context somewhere in Arco's curricula, on the staff, on the keyboard, and on your own fingerboard at the same time.