Pitching Harmony

OPERA 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.

VIPSO Harmony

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.

WAR VIPER Harmony

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.

HarmoNine Harmony

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.

IONine Harmony

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.