1. Allegro: The term "allegro" is used to indicate a fast and lively tempo. It is typically marked with the letter "A" or "All."
2. Presto: Presto means "very fast" or "quick" and is usually marked with the letter "P" or "Pr." It indicates an even faster tempo than Allegro.
3. Vivace: Vivace is similar to Allegro but suggests a more exuberant and spirited character. It is often marked as "V" or "Viv."
4. Agitato: Agitato indicates an agitated and restless tempo. It conveys a sense of urgency or excitement and is often marked as "Agit" or "Ag."
5. Con fuoco: Literally meaning "with fire", Con fuoco suggests a passionate and intense performance, often played at a fast tempo. It is usually marked as "C.f" or "C.fuoco."
6. Tempo primo: If the tempo of the piece changes during the composition and then reverts back to the original tempo, the notation "tempo primo" is used. It means "return to the original tempo" and is usually marked as "T.p."
7. Eighth notes (quavers) and sixteenth notes (semiquavers): In musical notation, eighth notes are notated as a filled oval note head with a single stem and a flag. Sixteenth notes have two flags. Fast-paced pieces often feature a lot of these shorter note values.
8. Triplet: Triplet markings are placed above or below a group of three notes to indicate that these three notes should be played evenly in the time usually given to two equivalent notes.
9. Quintuplet: Similar to triplets, quintuplet markings indicate that five notes should be played evenly in the time of four.
10. Dotted notes: A Dotted note is a note which is extended in length by half of the duration of the following note. In fast-paced music, dotted notes can create a sense of syncopation and rhythmic interest.
11. Tremolo: Tremolo or tremolando involves the rapid alternation of two adjacent notes, creating a continuous, vibrating sound. It is commonly employed to add intensity or excitement to fast passages.
12. Arpeggio: An Arpeggio is a technique where the notes of a chord are played in a rapid succession rather than simultaneously. Arpeggios can create a sense of speed and movement in fast music.
13. Accelerando: Accelerando indicates a gradual increase in tempo as the music progresses.
14. Ritenuto: Ritenuto indicates a gradual decrease in tempo.
These are just a few of the many notations used to indicate fast music. Different composers and performers may have their own interpretations of these terms and may use additional markings to convey their desired tempo and energy.