deletions | additions       diff --git a/ChordTheory.tex b/ChordTheory.tex  index 974f883..378c6e1 100644  --- a/ChordTheory.tex  +++ b/ChordTheory.tex 
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Chords are commonly described with qualities, which describe the intervals between the pitches involved. A \textit{root note} describes the base upon which successive intervals are based. For example, given a specified root, a \textit{major} chord consists of notes 4 semitones above the root and 7 semitones above the root, invariant of octave. This means that notes in a C major chord must be 4 and 7 semitones above the root modulus 12. See figure ~\ref{fig:qualitytable} for a sample of commonly named chord qualities and the associated intervals.  '','m','dim7','6','7','maj7','m7','m6','dim','aug'  '' : [4, 7],  '6' : [4, 7, 9],  '7' : [4, 7, 10],  'maj7': [4, 7, 11],  'm6' : [3, 7, 9],  'm7' : [3, 7, 10],  'm' : [3, 7],  'dim' : [3, 6],  'aug' : [4, 8],  'dim7': [3, 6, 9],  'm7b5': [3, 6, 10],  \begin{figure}[h!]  \begin{center}  \begin{tabular}{ll} 
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Diminished & dim & +3, +6 \\  Diminished 7th & dim7 & +3, +6, +9 \\  Half-diminished 7th & m7b5 & +3, +6, +10 \\  \bottomrule  \end{tabular}  \caption{Common chord qualities and associated intervals}