Harmony Explained
What is a "Harmony"?
A "Harmony" is created when multiple, baseball statistical categories are analyzed together using Harmonic Average, one of the three type of average.
Harmonic Average weights to the lowest of a data set, so players must be good at each category chosen in order to have a "Baseball Harmony" that ranks highly overall.
For example, "Big Ball Harmony" is the "Harmony" of Bases on Balls, Extra Base Hits and Runs Batted In.
Why use Harmonic Average, not "regular" Average/Mean?
One of the major inspirations for creating this system was Rickey Henderson. So often, the terms "Small Ball" or "Small Baller" are heard, but Baseball Harmony, sought to create a stat that represented the term, and the first "Harmony" was created.
Originally, Arithmetic Mean ("regular average") was used for "Small Ball", but Wade Boggs, for example, ranked very highly with only 24 career Stolen Bases. Using Arithmetic Mean ("regular average") a player can rank very highly in only two of the three statistics, for example, and still rank highly overall.
Finding players that were good at all the categories was the goal, so Harmonic Average was used. Boggs' "Harmony" dropped his ranking well below 500th, a much more realistic number.
The rest of the Harmonies were created for the All Ball Set using the Harmony Method.
Are there other types of Harmony?
The entire All Ball Harmony set relies on Harmony, but Baseball Harmony has created many new Harmony Stats and Harmony Sets as seen in More Harmony and Other Sets.
Whether you are authoring a piece, debating a friend, creating all time lists, trying to decide which Fantasy Baseball Player to select, or handicapping players yourself, creating a Harmony, by Baseball Harmony, is the method to use, to look at stats in any sport.
All Ball Harmony Definitions and Formulae Revisted
Small Ball Harmony: The Harmony of BB, 1B and "Sac+SB"
(3*BB*1B*Sac+SB) / [(BB*1B)+(BB*Sac+SB)+(1B*Sac+SB)]
Note: "Sac+SB" is a category label, not an operation.
Middle Ball Harmony: The Harmony of BB, 1B and 2B
(3*BB*1B*2B) / [(BB*1B)+(BB*2B)+(1B*2B)]
Big Ball Harmony: The Harmony of BB, XBH and RBI
(3*BB*XBH*RBI) / [(BB*XBH)+(BB*RBI)+(XBH*RBI)]
All Ball Harmony: The Harmony of Small, Middle and Big Ball Harmonies
(3*Small*Mid*Big) / [(Small*Mid)+(Small*Big)+(Mid*Big)]
ALL WARPS Harmony: The Harmony of All Ball, WAR, and OPS+
(3*ALL*WAR*OPS+) / [(ALL*WAR)+(ALL*OPS+)+(WAR*OPS+)]