Shouldn't technically all intervals have five names?

(Maybe with few exceptions where it goes below zero semitones but still I can't see why it can't go below zero semitone when it can be played)

With these five possible cases:

  1. ♯Note-♭Note ( n semitones )
  2. ♯Note-Note or Note-♭Note (n+1 semitones )
  3. Note-Note ( n+2 semitones )
  4. Note-Note♯ or ♭Note-Note ( n+3 semitones )
  5. ♭Note-♯Note ( n+4 semitones )

closed as unclear what you're asking by user45266, David Bowling, ttw, Todd Wilcox, Tim Mar 4 at 7:25

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  • What about double sharps and double flats? The leading note of G# minor is F double sharp, and several minor keys have a doubled flat on the flattened ("Neapolitan") supertonic, so they are not always "avoidable" in common practice harmony by rewriting them enharmonically. – user19146 Aug 28 '17 at 13:23
  • So, you're saying when it comes to music intervals, their name is Legion? :-) – Carl Witthoft Aug 29 '17 at 11:51
  • This question is based on inaccurate premises. – Tim Mar 4 at 7:24

Yes, they already have them. There are 6 (7 counting unison) interval class types.

Read here for more information.


I can do OP one better: Every (auditory) specific interval has an infinite number of names. A Perfect fifth is enharmonic to a diminished sixth, or a triply-diminished seventh, or quadrupally-diminished octave, and so on...

However, when an interval is written down and one can say "Oh, it's G and D", then it has one name: A perfect fifth. If you saw G and E♭♭, that's enharmonic, but a diminished sixth.

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