Re: Intervals between various B pitches

[Malte Meyn]

Am 20.05.2018 um 11:45 schrieb Menu Jacques:
> Hello folks,
>
> Working on intervals, I bump into this question.
>
> How is the right column below to be filled?
>
> Downward interval between B## and:
>
>         B#:    augmented unison or minor second?
>         B:     major second or ...?
>         Bb:    minor third or ...?
>         Bbb:   major third or ...?
>
> Thanks for your help!

All of these are unisons:

B♯–B♯♯: augmented unison
B–B♯♯: double augmented unison
B♭–B♯♯: triple augmented unison
B♭♭–B♯♯: quadruple augmented unison

A pitch consists of three parts:

1. (I don’t know how it’s called correctly, maybe “diatonic name” or 
something similar?): The “B” part in “B♯♯”
2. an accidental: the “♯♯”
3. the octave: the “4” in “B♯♯4”

Only part 1 and 3 decide whether you have a unison, second, third, fourth, …

But why would someone use such extreme intervals as B♭♭–B♯♯? The only 
reason I can think of is temperaments of more than 12 pitches per octave.