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06-12-2013, 04:36 PM | #41 (permalink) | ||||
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An interval being defined as the musical distance between two pitches doesn't explain it adequately and causes many to believe that it is a matter of how many half-steps there are between the two notes. Half-steps don't matter. We need to know how many note letters we are spanning and the following: Suppose you want to know what interval B to D represents. First, it spans three letters--BCD so it is a third. But is it major or minor? Let's make the lower note, B, into a B major scale. Does the upper note, D, occur naturally in the B major scale? No. D# occurs naturally in the B major scale. Now let's expand the upper note, D, into a D major scale. Does the lower note, B, occur naturally in the D major scale? Yes. Only F and C are sharped in the D major scale. When the upper note of the interval as a major scale incorporates the lower note in the interval, that interval is ALWAYS minor. Since we are spanning 3 notes, then that interval is a minor 3rd. Now, let's say the interval is B to D#. Spans three letters so it's a 3rd. Does B major contain a D#? Yes. Does D# major (that is, Eb major) contain a natural B? No. When the lower note of the interval as a major scale incorporates the upper, then the interval is ALWAYS major. In this case, a major 3rd. Suppose we made the D# into an Eb in the above example--B to Eb. What interval is that? Since it spans 4 letters, it's a 4th. Does Eb major contain a natural B? No. Does B major contain an Eb? No, but it contains a D# which is the enharmonic equivalent of Eb. So it behaves like a major 3rd but it is a 4th and so we call it a diminished 4th. Suppose we have an interval of B to E. Spans 4 letters again so it is a 4th. Does B major contain an E natural? Yes. Does E major contain a B natural? Yes. When both scales contain each other's notes in the interval, they are ALWAYS perfect. So B to E is a perfect 4th. So now you see what makes a perfect interval perfect--each scale contains the other's note. Majors and minors are not perfect because only one's scale contains the other's note. Quote:
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paper on that. Mathematicians would love to see it. The rest of your post was plodding and spiked with insults and sarcasm betraying a someone who really isn't sure of his position. I really don't care if you think you know everything but don't then invite people to criticize your knowledge if you can't take it. |
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06-13-2013, 04:08 AM | #42 (permalink) | ||
D-D-D-D-D-DROP THE BASS!
Join Date: Jan 2008
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"A grouping of notes separated by specific intervals. (Notes as described above), repeated by octave. This can be any number of notes, for Example Pentatonic being 5, A traditional major or minor would contain 7 notes, a full chromatic scale would contain 12 notes. (A, B flat, B, C, D flat, D, E flat, E, F, G flat, G, and A flat)." I'm done, enjoy your imagined superiority.
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06-13-2013, 05:09 PM | #43 (permalink) | |||
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