Re: Descending aug and dim intervals

On 11 Apr., 23:22, "David Webber" <d...@[EMAIL PROTECTED]
>
wrote:

> In terms of semitone-count that works in any temperament.   The semitone
> measure of m7+m7=m13 is 10+10=20.    But that's a many to one mapping,
not
> an equivalent statement.   For example:
>
> maj7+dim7=min13
> maj7+aug6=aug12
>
> also both map on to 10+10=20 in semitones.  The structure of intervals
is
> much richer than just counting semitones.
>

In these examples intervals dim7 and aug6 are used. But interval aug6
is absent in major and   all minor scales. Besides interval dim7 is
possible only on 7th degree of minor scale. Thus this "rich"structure
of intervals allows arbitrary accidentals . In this case: how can one
mean the interval between Gb and A# or the interval between F# and
Ab ? The former interval is 2th and includes 4 semitones and latter
interval is 3th and includes 2 semitones.

Best regards

Yuri Vilenkin