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Section 4.3 Dots and Ties

We have a whole note, which lasts for four beats, and a half note, which lasts for two beats, but we don’t have a durational value that lasts three beats. To do so requires using a dot or a tie.
A tie links two notes together to create a new duration. Ties occur between notes of the same pitch. A slur, which looks like a tie, is placed over or under notes of different pitches and means to play them in a connected manner.
A dot added to a note increases the duration of that note by half. A second dot represents half the value of the first dot, or a quarter of the original duration. (These are known as “double-dotted notes.”)
And example illustrating the difference between ties and slurs, and how dots add to the value of a note