Dotted note

In Western musical notation, a dotted note is a note with a small dot written after it. In modern practice the first dot increases the duration of the basic note by half of its original value. A dotted note is equivalent to writing the basic note tied to a note of half the value; or with more than one dot, tied to notes of progressively halved value. The length of any given note a with n dots is therefore given by the geometric series $a_n=a\left(1+\tfrac 12+\tfrac 14+ \cdots + \tfrac 1{2^n}\right)=a(2-\frac 1{2^n})$ . More than three dots are highly uncommon but theoretically possible; only quadruple dots have been attested.

单词	Dotted crotchet
释义	Dotted crotchet 英语百科 Dotted note In Western musical notation, a dotted note is a note with a small dot written after it. In modern practice the first dot increases the duration of the basic note by half of its original value. A dotted note is equivalent to writing the basic note tied to a note of half the value; or with more than one dot, tied to notes of progressively halved value. The length of any given note a with n dots is therefore given by the geometric series $a_n=a\left(1+\tfrac 12+\tfrac 14+ \cdots + \tfrac 1{2^n}\right)=a(2-\frac 1{2^n})$ . More than three dots are highly uncommon but theoretically possible; only quadruple dots have been attested.
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Dotted crotchet

Dotted note