Changes

1st and 2nd Strings - Intervals

660 bytes added, 21:20, 6 May 2014
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Intervals Above vs. Intervals Below and Inversions
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Notice The 7ths/2nds, 3rds/6ths, and 4ths/5ths swap. This makes sense - the further a note is from some root note, the closer that note will be to the root note's octave. Yet notice the '''major intervals' inversions are minor intervals''', the perfect intervals' inversions are also perfect intervals, and the tritone's inversion is also a tritone. This  The major/minor swap may seem a little counter-intuitive at first. "Major" is often associated with harmonious and happy, while "minor" is associated with dissonant and dismal. That's more true of the major and minor keys than the intervals; however, I would even contest such a general statement. Songs in major keys can be sad and songs in minor keys happy given how they are written. Intervals are more basic, however. The major/minor label has less to do with their consonance and dissonance, then whether they are present in the major or minor scales. All the major/minor intervals in a major key against the root note are major, while 3/4 of the major/minor intervals are minor in a minor key. Chords can be inverted without changing their harmonic function (although it does affect their percieved qualities), but intervals are a bit more sensitive.
fig. 8