Learn Finnish: Kannustakaamme joukkuetta elektronisen musiikin tahtiin! - Let us support the team to the beat of the electronic music!

It is the formal 1st person plural imperative meaning 'let us cheer.' You form it by taking the infinitive stem kannusta- and adding the suffix -kaamme. You will rarely hear this in normal conversation, though. In everyday spoken Finnish, people use the passive form kannustetaan to mean 'let's cheer.' The -kaamme suffix is mostly reserved for formal speeches, literature, or stylistic flair.

Why does the object joukkuetta need to be in the partitive case?

The verb kannustaa (to cheer for, to encourage) is a partitive verb. Verbs expressing emotions, support, or ongoing influence usually require a partitive object because the action is continuous and doesn't 'consume' or finish the object.

How does the phrase elektronisen musiikin tahtiin work grammatically to mean 'to the beat'?

The noun tahti means 'beat' or 'rhythm'. To express doing something 'to the beat of' something else, Finnish puts the source of the music in the genitive case (elektronisen musiikin) and puts tahti in the illative case (tahtiin). Literally, you are cheering 'into the beat of electronic music.'

What is the base form of joukkuetta, and is it related to the word joukko?

The nominative base word is joukkue (team). It is indeed derived from joukko (group, crowd). The suffix -ue is added to indicate a more specific, formally organized collective of people, turning a general 'group' into a 'team'.