Dylan Freedman edited basschord.tex  about 9 years ago

Commit id: fe2496adc993e2f52ff81b65ff2bdb3026d347aa

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The \textit{bass} note of a chord is its lowest note. A chord's bass note is often its root, however this is not always the case. case depending on voicing.  When the notes of a chord are such that its root note  is not the bass note, that chord is said to be \textit{inverted}. When the bass note of a chord is not the chord's root nor any of the pitches involved within the chord's quality, that chord is called a \textit{slash chord}. The name slash chord refers to its notation---a \textbf{D} $D$  minor chord with a root of \textbf{B} $B$  is notated as $Dm/B$. The notation of a chord can be outlined with the following context-free grammar grammar:  \begin{align*}  Chord &\to Root\ Quality \mid Root\ Quality\ \texttt{/} \ Bass \\  Root &\to NoteName \\  Bass &\to NoteName \\  Quality &\to \textbf{maj} \text{maj}  \mid \textbf{6} \text{6}  \mid \textbf{maj7} \text{maj7}  \mid \textbf{m} \text{m}  \mid \textbf{m6} \text{m6}  \mid \textbf{m7} \text{m7}  \mid \textbf{7} \text{7}  \mid \textbf{aug} \text{aug}  \mid \textbf{dim} \text{dim}  \mid \textbf{dim7} \text{dim7}  \mid \textbf{m7b5} \text{m7b5}  \end{align*}  where $NoteName$ is a note name according to the context-free grammar in figure~\ref{fig:cfgnote}.