If you've had any traditional theory, you may have heard of the Whole-Half method of building scales.
Such as a major scale having the formula W-W-H-W-W-W-H The W represents a whole step and then the second W represents another whole step from the second note in the first whole step. What we're essentially doing is starting the following interval on the upper note of the previous interval In other words, it looks like this: CD to DE These are both whole steps because they both have a sharp shoved up between them. After E, is F though, which means now it's a half step. So we have CD DE EF then FG which is another whole step. And we have whole steps GA AB and Finally, BC which ends the cycle on a half step. At this point the whole pattern repeats itself creating an endless C major scale. There is a couple of reasons I don't like this method but then there are reasons that I teach it anyway. One, knowing the formula of Whole and half steps isn't nearly as useful as knowing how scales are built from a sequence of fifths such as we did before. The reason is that Whole Half gives us almost no relation to harmony or tonal gravity. The one thing it
does give us, however, is knowledge of half steps. These half steps will become very important later on in this course, so you should remember where they exist in a major scale.
Half Steps and Whole Steps related to the Circle of Fifths
So how do we relate this to the COF? Ok, well, if we keep in mind that major scale comes from taking the 2nd note of a sequence of seven fifths(try saying that three times fast), then we'll have the correct mindset for thinking. Basically, think of a whole step in the COF almost the same way you think of a whole step in the chromatic scale. It skips a note. If we have CGDAEBF#, then C to D is a whole step and D to E is a whole step. So every other note in the COF is a whole step apart. That's it, that simple.
Half steps are a little more confusing. To find half steps apart, we have to move in the circle five times.
So C then 1G, 2D, 3A, 4E, 5B therefore, B is a half step lower than C. If we want to find one higher than C we have to go seven steps in the circle, C G D A E B F# C#. But then again, what's the point of this if half steps are just consecutive notes in the musical alphabet you should already know? There isn't one. So I'm just mentioning that using the COF to find half steps is ridiculous.
This was a bit of a more technical lesson, so just keep these concepts in the back of your mind.
ASSIGNMENT:
Remember what whole and half steps are
Get feel for relating whole steps to the COF don't worry about half steps with the COF
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