Getting Started
Music is an art form that unfolds in time. To understand, analyze, and create music, we must first have a system for notating the duration of sounds and silences. This chapter introduces the fundamental symbols of rhythmic notation, which form the basis for organizing all musical events in time.
What You Should Be Able to Do
Identify by name the standard note and rest values from notated music.
Aurally distinguish between basic durations, such as whole, half, and quarter notes, in a simple musical context.
Explain how a tie is used to combine the durational values of two notes.
Calculate the total duration of a note or rest modified by a single or double augmentation dot.
Notate a specific duration using the correct combination of notes, rests, ties, and dots.
Key Concepts & Analysis
The system used to notate rhythm is based on a clear and consistent set of proportional relationships. Each rhythmic value is precisely half the duration of the next larger value and double the duration of the next smaller value. This allows for the precise representation of time in music.
The Hierarchy of Durations: Notes and Rests
A rhythmic value is a symbol that represents the duration of a musical event. These events can be either sounds or silences.
A note is a symbol that indicates a specific duration of sound. The shape of the notehead (e.g., open or filled) and the presence of a stem and flags or beams determine its value. The primary note values subdivide in a 2:1 ratio. A whole note is equal in duration to two half notes; a half note is equal to two quarter notes; a quarter note is equal to two eighth notes, and so on.
A rest is a symbol that indicates a specific duration of silence. For every standard note value, there is a corresponding rest of equal duration. These rests also subdivide according to the same 2:1 proportional system.
Extending Duration: Ties and Augmentation Dots
While the basic note and rest values provide a foundational framework, music often requires durations that fall between or extend beyond these standard symbols. Two mechanisms—ties and augmentation dots—are used to create these more complex durations.
A tie is a curved line that connects the noteheads of two adjacent notes of the same pitch. The function of a tie is to merge the two notes into a single, uninterrupted sound whose duration is the sum of the individual note values. Ties are necessary to sustain a sound across a bar line or to create a rhythmic value for which no single note symbol exists (e.g., a duration of five sixteenth notes).
An augmentation dot is a small dot placed to the right of a notehead or a rest. This dot increases the duration of the original note or rest by one-half of its original value.
Formula: Dotted Value = Original Value + (1/2 of Original Value)
Example: A half note is typically worth two beats. A dotted half note is worth the original two beats plus half of that value (one beat), for a total of three beats.
A double augmentation dot may be used for even finer control over duration. A second dot is placed to the right of the first. This second dot adds half the value of the first dot (which is equivalent to one-quarter of the original note's value).
Formula: Double Dotted Value = Original Value + (1/2 of Original Value) + (1/4 of Original Value)
Example: A double-dotted half note is worth its original two beats, plus one beat (from the first dot), plus a half beat (from the second dot), for a total of 3.5 beats.
Data & Organization Tools
The following table illustrates the hierarchy of the most common rhythmic values, using the quarter note as a relative durational unit of one beat.
| Note Symbol | Rest Symbol | Name | Relative Duration (in Quarter Notes) |
|---|---|---|---|
| 𝅚 | 𝄾 | Whole Note / Rest | 4 |
| 𝅛 | 𝄿 | Half Note / Rest | 2 |
| 𝅜 | 𝅀 | Quarter Note / Rest | 1 |
| 𝅝 | 𝅁 | Eighth Note / Rest | 1/2 |
| 𝅗𝅥 | 𝅂 | Sixteenth Note / Rest | 1/4 |
Evidence Bank
Whole Note: The longest standard note value in common use. It serves as the reference point from which all other values are derived by subdivision.
Half Note: A note value with half the duration of a whole note. It is represented by an open notehead with a stem.
Quarter Note: A note value with one-quarter the duration of a whole note. It is represented by a filled-in notehead with a stem.
Eighth Note: A note value with one-eighth the duration of a whole note. Single eighth notes have a flag; multiple eighth notes are connected by a beam.
Sixteenth Note: A note value with one-sixteenth the duration of a whole note. Single sixteenth notes have two flags; multiple notes are connected by two beams.
Corresponding Rests: Symbols indicating silence that have durations equivalent to their note counterparts (e.g., a quarter rest has the same duration as a quarter note).
Tie: A curved line connecting two notes of the same pitch, summing their durations into a single sound. It is used to sustain a note over a metrical division or create a non-standard duration.
Augmentation Dot: A dot that follows a note or rest, increasing its duration by 50 percent.
Double Augmentation Dot: A second dot that adds an additional 25 percent of the original note's or rest's duration.
Skill Snapshots
Subdivision: A single half note is durationally equivalent to two quarter notes. This demonstrates the foundational 2:1 relationship that governs the entire system of rhythmic notation.
Ties for Metric Clarity: To notate a sound lasting three beats that begins on beat two of a 4/4 measure, a half note is tied to a quarter note. The tie makes it possible to sustain the sound across the measure's halfway point (between beats 2 and 3) while keeping the notation clear.
Dots for Efficiency: A dotted quarter note is rhythmically identical to a quarter note tied to an eighth note. Both notations represent a duration of 1.5 quarter-note beats, but the dotted notation is more concise and is often preferred within a beat.
Common Misconceptions & Clarifications
Tie vs. Slur: A tie connects two notes of the same pitch to create one longer sound. A slur is a visually similar marking that connects notes of different pitches to indicate they should be performed smoothly (legato), without a break between them.
The Dot's Proportional Value: An augmentation dot does not add a fixed amount of time. Its value is always relative. A dot on a half note adds a quarter note's duration, while a dot on an eighth note adds a sixteenth note's duration.
Rests Can Be Dotted: Rests follow the same rules of augmentation as notes. A dotted half rest indicates a duration of silence equal to three quarter rests.
Double Dot Calculation: The second dot's value is half of the first dot's value, not half of the original note's. Therefore, a double-dotted note has a total duration equal to 1.75 times its original value (1 + 1/2 + 1/4).
Summary
Rhythmic notation is a proportional system designed to represent the duration of sound and silence in music. The core of this system is a hierarchy of note and rest values, where each symbol is half the duration of the next largest value and double the duration of the next smallest. To achieve durations that fall outside this simple binary system, musicians use two tools: ties, which sum the values of adjacent notes of the same pitch, and augmentation dots, which extend a note or rest by a fraction of its own value. A firm grasp of these symbols and their functions is essential for the accurate reading, writing, and performance of music.