Major and Minor triad

As shown above, the 12 12 keys on the piano are denoted as a 1 , a 2 , , a 12 a_1,a_2,\cdots,a_{12} respectively from left to right.

Let 1 i < j < k 12 1 \leq i < j < k \leq 12 , if k j = 3 , j i = 4 k-j=3, j-i=4 , then ( a i , a j , a k ) (a_i,a_j,a_k) is a Major triad.

If k j = 4 , j i = 3 k-j=4, j-i=3 , then ( a i , a j , a k ) (a_i,a_j,a_k) is a Minor triad.

Then what's the total number of Major triad and Minor triad produced using these 12 12 keys?


Source: Gaokao 2020, II

8 8 10 10 5 5 15 15

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