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Interval names (second through octave) count scale steps inclusively from the lower to upper note

To name an interval, count the number of letter names from the lower note to the upper note, inclusive of both endpoints. C to G = C D E F G = 5 notes = a fifth. C to E = C D E = 3 notes = a third. The count always includes both the starting note and the ending note. Simple intervals stay within one octave (prime through octave). Compound intervals exceed an octave: a ninth is a compound second (octave + second), an eleventh is a compound fourth. To reduce a compound interval to its simple form, subtract 7.

Examples

C to D = second. C to G = fifth. C to B = seventh. C to C (next octave) = octave. C to D (above the octave) = ninth.

Assessment

Name these intervals: C-A, D-C, E-B, G-F. Reduce the interval of a fourteenth to its simple form.

“When you are trying to work out intervals, remember to include the starting note. From C to G, there are five notes including the starting note and the ending note: C D E F G. Therefore, the interval between C and G is a fifth.”
corpus · michael-hewitt-music-theory-for-computer-musicians · chunk 14