Nothing But Arpeggios

This is an example of an arpeggio.
I Have Blisters on My Fingers

This little 12 bar section has nothing but arpeggios. As you no doubt know by now, arpeggios are the notes of a chord. In this case there are only 3 chords: C7, G7, and F7.

Which notes do they share?

C7: C E G Bb
F7: F A C Eb
G7: G B D F

C7 shares one note with F7: C
C7 shares one note with G7: G
G7 shares one note with F7: F

So it turns out the notes they share with each other are the roots of each chord.

The third and seventh notes of a chord are considered to be the most important. Musicians call them guide tones. Check out what happens when you multiply numbers by 3s and 7s:

333 x 444 = 147,852
333 x 777 = 258, 741
2 x 333 x 777 = 517,482

Do you notice anything about those answers? They all have the same digits. The first answer is the exact reverse of the second one. And one of them is twice as much as the other. Do you know any other numbers that have the same digits when they are doubled, or are the exact reverse? I haven’t found any yet.

Fun Fact #37:

37 x 99 = 3,663
37 x 999 = 36,663
37 x 9999 = 369,963

73 x 99 = 7,227
73 x 999 = 72,927
73 x 9,999 = 729,927

I could go on and on, but the answers will always be the same backwards and forwards. And it only seems to work with 37 and 73.

Isn’t that fascinating? I think so too!

If you find math as interesting as I do, you will probably like this video. And it might just save your life one day:

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