It's considered " half-diminished " because a fully diminished seventh has a double-flatted seventh, making it enharmonically the same as a major sixth.
22.
The inversion is the prime form with the intervals inverted ( so that a rising minor third becomes a falling minor third, or equivalently, a rising major sixth ):
23.
The music is basically a march, based on the chords of A major and F minor ( with added major sixth ), and grows to ecstatic intensity towards the end.
24.
Within this definition, other intervals may also be called perfect, for example a perfect third ( 5 : 4 ) or a perfect major sixth ( 5 : 3 ).
25.
The student council at Sixth College is known as SCSC . This Sixth College Student Council heads the many committees that are responsible for many major Sixth events in the academic year.
26.
The minor sixth is one of consonances of common practice music, along with the unison, octave, perfect fifth, major and minor thirds, major sixth and ( sometimes ) the perfect fourth.
27.
The major sixth is one of the consonances of common practice music, along with the unison, octave, perfect fifth, major and minor thirds, minor sixth and ( sometimes ) the perfect fourth.
28.
A "'supermajor sixth "'is noticeably wider than a major sixth but noticeably narrower than an augmented sixth, and may be a just interval of 12 : 7 ( A ).
29.
When improvising over the top of a pattern like this, the soloist would often use the Mixolydian or Dorian mode, because both of these scales have the intervals of a major sixth and a minor seventh within them.
30.
This picture of five-limit modulatory space is generally preferable since it treats the consonances in a uniform way, and does not suggest that, for instance, a major third is more of a consonance than a major sixth.
