Yes. 'Allegro vivace' is interpreted as a single indication, not two separate ones. Therefore 'assai' modifies 'allegro vivace', not 'vivace'.
The musical terms are defined as follows: 'allegro' -> fast 'assai' -> very 'vivace' -> lively
They are all tempos
A BEAT IN MUSIC
I. Lento maestoso - Allegro molto II. Poco adagio - Vivace non troppo III. Andante - Vivace non troppo IV. Andante moderato V. Allegro VI. Lento maestoso - Vivace
The musical terms are defined as follows: 'allegro' -> fast 'assai' -> very 'vivace' -> lively
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presto or vivace
it mean fast and bright its no diffrent then from vivace
Just four: I: Adagio; Allegro moderato II: Andante, III: Larghetto IV: Allegro vivace.
Usually allegro or allegretto can describe a "very fast" tempo.
There are several musical tempos that can be considered "fairly quick" such as allegro, allegretto, or vivace.
it's the speed between allegro and vivace, about quarter=144-160. assai itself means very, as in allegro assai, adagio assai, pianissimo assai,etc.