If 6 objects are placed side by side, then rearranged one at a time so they are always in a new position in relationship to the other objects, it would require 720 moves to complete the cycle.
5 x 6= 30
4 x 30= 120
3 x 120= 360
2 x 360= 720
If the 6 objects were open guitar strings there would be 720 ways to sound them before repeating. Now when this form is applied to the 12 consecutive tones of the chromatic scale the number of moves required in order to complete the cycle is 479,001,600.
11 x 12 = 132
10 x 132 = 1,320
9 x 1,320= 11,880
8 x 11,880= 95,040
7 x 95,040= 665,280
6 x 665,280= 3,991,680
5 x 3,991,680= 19,958,400
4 x 19,958,400= 79,833,600
3 x 79,833,600= 239,500,800
2 x 239,500,800= 479,001,600
479,001,600= the possible combinations of 12- when multiplied by 720 totals:
479,001,600
x 720
00
9 580 032 00
335 301 120 0
334,881,152,00
That's 334 BILLION, 881 MILLION, 152 THOUSAND, combinations.
So you say, "Well I'm gonna play all of them" Well good luck cause if you were to spend one second on each of the possible combinations 24 hours a day 7 days a week 52 weeks a year to reach the end of the order it would take 11,036 years!(Eleven thousand, thirty-six years) This gives you an idea about how many choices are available. Music as we know it today is less than 400 years old. This means we haven't even scratched the surface yet, we're not even near the surface.
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