Re: Inversions of 7o and 5+, etc

"SleepyHead" <simonharpham@[EMAIL PROTECTED]
> wrote in message 
news:739d7823-f3ab-4fa4-b0d8-976ea0104173@[EMAIL PROTECTED]
>> True, Simon - but since the 1 semitone chromatic scale has only one 
>> (non-transposable) form
>
> Do you mean: You can transpose chromatic scales as you like but you'll
> always end up with a chromatic scale? If so - doesn't this also apply
> to diminished chords, or any of the structures we're discussing? One
> of the features of chromatic transposition is that you end up with the
> thing you started with - transposition that alters the thing you
> transpose is more like development and less like transposition.
>

Naturally transposition results in the same structure.  I'm defining 
transposition as also generating at least one new pitch-class.  So the o7 
has 3 transpositions (including the original) but the chromatic scale has 
only one as all 12 PCs are included.

> Or were you making a point about modes of limited transposition - the
> number of times you can transpose a given construct before you end up
> back where you started?

Right.  All intervals except the tritone have unlimited transpositions 
(unlimited = 12).  Major & minor triads and scales (for example) also have

unlimited transpositions.  And the symmetrical formations have limited 
transpositions (fewer than 12) - an example being the octatonic
(diminished) 
scale which has only 3.

Tom K.