Text: A TRIAD is composed of two thirds. There are two kinds of thirds: a Minor (mn) and a Major (mj). These may be combined in two ways to create a Triad: (mn+mj) and (mj+mn). The former creates a Minor Triad (5mn) while the second creates a Major Triad (5mj). There are several issues being sorted out here. One is how to count steps and/or intervals. This is a real problem as far as I can see especially when trying to computerize all these factors. The first column under "THIRDS" is read thusly: "AbC" reads "Ab to C", etc. The accented notes are not differentiated between A# and Bb for instance; being the same note. THIRDS Ab to C 2 3mj A to C 1.5 3mn A to C# 1.5 3mn A# to Db 1.5 3mn Bb to D 2 3mj B to D 1.5 3mn B to D# 2 3mj C to Bb 2 3mj C to E 2 3mj C to D# 1.5 3mn C# to E 1.5 3mn Db to F 2 3mj D to F 1.5 3mn D to F# 2 3mj D# to F# 1.5 3mn D# to G 2 3mj E to G 1.5 3mn E to G# 2 3mj F to A 2 3mj F to Ab 1.5 3mn F# to A 1.5 3mn F# to A# 2 3mj F# to Bb 2 3mj G to B 2 3mj B to Bb 1.5 3mn G# to B 1.5 3mn TRIADS C E G = 5mj = 3mj+3mn = CE+EG C Eb G = 5mn = 3mn+3mj = CD#+D#G D F A = 5mn = 3mn+3mj D F# A = 5mj = 3mj+3mn E G B = 5mn = 3mn+3mj E G# B = 5mj = 3mj+3mn F A C = 5mj = 3mj+3mn F Ab C = 5mn = 3mn+3mj G B D = 5mj = 3mj+3mn G Bb D = 5mn = 3mn+3mj A C E = 5mn = 3mn+3mj A C# E = 5mj = 3mn+3mn The last triad is a Diminished triad and before the third is raised it is important to raise the fifth: B D F = dim = 3mn+3mn B D F# = min = 3mn+3mj B D# F# = maj = 3mj+3mn

See Also:

Source: