This article from wikipedia, states:
In the first inversion of a C major triad the bass is E—the 3rd of the triad—with the 5th and the root stacked above it (the root now shifted an octave higher), forming the intervals of a 3rd and a 6th above the inverted bass of E, respectively. A first-inversion triad is also known as a 6/3 chord.
I don't understand this part:
forming the intervals of a 3rd and a 6th above the inverted bass of E. The root position chord is C E G. The first inversion would be E G C. But to form an interval of 3rd and 6th over E it would need to be E G C# not E G C.
Can someone clarify this for me?