Pitching Harmony

To create a pitcher's OPERA Harmony, Harmonic Average was used to take the Harmony of Strike Outs, Innings Pitched and ERA+

OPERA Harmony: The Harmony of Strike Outs, Innings Pitched and ERA+ 

(3*SO*IP*ERA+) / [(SO*IP)+(SO*ERA+)+(IP*ERA+)]

Harmonic Average weights to the lowest, so players must rank well enough in each category to rank highly overall.

To create a pitcher's VIPO Harmony, Harmonic Average was used to take the Harmony of 

Wins + Saves (Victories), Innings Pitched and Outs

VIPSO Harmony: The Harmony of W+Sv (Victories), Innings Pitched and Strike Outs

(3*Vic*IP*SO) / [(Vic*IP)+(Vic*SO)+(IP*SO)]

Harmonic Average weights to the lowest, so players must rank well enough in each category to rank highly overall.

To create a pitcher's WAR VIPER Harmony, Harmonic Average was used to take the 

Harmony of WAR, VIPSO and ERA+.

WAR VIPER Harmony: The Harmony of WAR, VIPSO and ERA+

(3*WAR*VIPSO*ERA+) / [(WAR*VIPSO)+(WAR*ERA+)+(VIPSO*ERA+)]

Harmonic Average weights to the lowest, so players must rank well enough in each category to rank highly overall.

To create a pitcher's HarmoNine, Harmonic Average was used to take the Harmony of Hits/9, Home Runs/9 and Walks/9.

HarmoNine Harmony: The Harmony of H9, HR9, and BB9

3*(1/H9)*(1/HR9)*(1/BB) / [(1/H9*1/HR9)+(1/H9*1/BB9)+(1/HR9*1/BB9)]

Harmonic Average weights to the lowest, so the inverse must be taken first since low is good in this case. Players must rank well enough in each category to rank highly overall.

To create a pitcher's IONine Harmony, Harmonic Average was used to take the Harmony of Innings Pitched, Outs, and HarmoNine

IONine Harmony: The Harmony of Innings Pitched, Strike Outs, and HarmoNine 

(3*IP*SO*Harmo9000) / [(IP*SO)+(IP*Harmo9000)+(SO*Harmo9000)]

Harmonic Average weights to the lowest, so HarmoNine was multiplied by 1000 to make it comparable to the other to categories.  Players must rank well enough in each category to rank highly overall.