Before I taught piano, I never really thought about why some notes are sharp (♯) and others are flat (♭). I just followed the written notation like an instruction manual.
But as a piano teacher, I began to get questions from students and their parents:
As I began to think about and research these questions, I found a lot of information:
But I never found a satisfying explanation of why we use sharps and flats.
So I kept digging and pondering.
As a mom of active boys, I wondered if there was a way to use sports to explain musical notation. And so, Team StickeyTM was conceived.
The team has 7 players: A, B, C, D, E, F, and G.
Each player is assigned to 1 of 12 pitches as shown:
Pitches that are adjacent to each other are said to be separated by a "half step," while pitches that have one pitch between them are separated by a "whole step." Think of a player stepping from one circle to the next.
The starting pitches are spaced such that:
Just like team sports assign each player to a position on the field (e.g., first base in baseball or striker in soccer), we assign each player to one of 7 positions: do, re, mi, fa, sol, la, and ti.
The order and spacing between these positions is fixed: do, re, and mi are separated from each other by a whole step, as are fa, sol, la and ti. However, the positions can move relative to the pitches: do may be at any of the 12 pitches.
When C is on do, all the players occupy one of the positions without moving off their starting pitches:
But if do moves to a different pitch, some of the players must move so that every position is occupied, following these rules:
Rule 1: The 7 players must stay in alphabetical order.
Rule 2: A player is only allowed to move one pitch to either side of his starting pitch.
The Note Team Builder game is a printable resource that provides a hands-on experience of building Note Teams (and learning key signatures in the process).
To form a Note Team,
For example, if do is between C and D, only 2 of the players' starting positions will be on a solfa position. To keep all 7 notes on a solfa position, the other 5 players need to move down one pitch to become flat:
The resulting Note Team has 2 naturals (C, F) and 5 flats (A♭, B♭, D♭, E♭, G♭). D♭ is do.
There is one other way to move the players in the example above to make a Note Team. Can you figure it out? In this alternate solution, what player is do?
[For an interactive game to figure out the answer to this and other configurations, get the Note Team Builder game.]
The key signature at the beginning of a score simply defines the players in the Note Team for that piece.
For example, if they key signature shows 1 sharp, you know one player is sharp (F♯) and the rest are natural (use the Zig-Zag of Fifths as a shortcut to know which players are sharp or flat for every key signature).
For measures following this key signature, any notes that would have been F will be F♯. The sharp symbol is not written in front of every F note because the Note Team has been defined: F is not part of the Note Team; F♯ is.
If you want to substitute F in for F♯, add a natural (♮) in front of the note.
Defining a key signature (or Note Team) up front simplifies the score by eliminating the need to write a sharp or flat symbol every time notes in the team are played. Instead, only changes to a team note are notated by placing a natural (♮), sharp (♯) or flat (♭) before the modified note.
Note Teams also help the musician focus on only 7 of the 12 pitches, so he or she can more easily build chords and navigate playing a piece.
Copyright 2021 Attune Music and Math, LLC
Categories: : Key Signatures, Music Theory