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To determine whether the difference between two means is statistically significant, analysts often compare the confidence intervals for those groups. If those intervals overlap, they conclude that the difference between groups is not statistically significant. If there is no overlap, the difference is significant.
An interval in music is defined as a distance in pitch between any two notes. What is this? The larger the interval between two notes, then the greater the difference in pitch between the notes. And vice versa, the smaller the interval between two notes then the smaller the pitch between the notes.
To find the interval, count the lines or spaces that the two notes are on as well as all the lines or spaces in between. The interval between B and D is a third. The interval between A and F is a sixth. Note that, at this stage, key signature, clef, and accidentals do not matter at all.
A common way to recognize intervals is to associate them with reference songs that you know well. For example, the song Amazing Grace begins with a perfect fourth. So when you hear an interval that sounds like the beginning of Amazing Grace, you can quickly conclude that it's a perfect fourth.
Somehow, this works:
def in_range(min, test, max): return min <= test <= max print in_range(0, 5, 10) # True print in_range(0, 15, 10) # False However, I can't quite figure out the order of operations here. Let's test the False case:
print 0 <= 15 <= 10 # False print (0 <= 15) <= 10 # True print 0 <= (15 <= 10) # True Clearly, this isn't resolving to a simple order of operations issue. Is the interval comparison a special operator, or is something else going on?
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