Any good methods of transposition for arbitrary (non-ET) scales?

This mathematical issue always puzzled me...

Why is it that (even in basic 12TET) you transpose a scale the mood
and tensity changes...and chords that sound more resolved in some
transpositions sound less resolved in others?

Whenever I make a scale that is NOT in equal temperament, I always
ask myself a question "what is the best method by which,
mathematically speaking, to transpose it into something that sounds
natural as opposed to bent/tense?"
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Are there any types of formulas or limitations I should consider
when transposing a new scale? Does the way the human ear is built,
for example, say certain pitches correspond more closely to certain
frequencies hairs in the human ear are aligned to (and if so, which ones)?

I am trying to transpose a whole lot of my scales and other
people's and keep on wondering: with so many algorithms for generating
scales intelligently, shouldn't there be some for transposition (so I
can avoid using process of elimination)?

-Michael

You might consider the relationship between tempo and key.

see:

http://www.lucytune.com/midi_and_keyboard/tempo.html

On 8 Dec 2008, at 21:16, djtrancendance wrote:

> This mathematical issue always puzzled me...
>
> Why is it that (even in basic 12TET) you transpose a scale the mood
> and tensity changes...and chords that sound more resolved in some
> transpositions sound less resolved in others?
>
> Whenever I make a scale that is NOT in equal temperament, I always
> ask myself a question "what is the best method by which,
> mathematically speaking, to transpose it into something that sounds
> natural as opposed to bent/tense?"
> ----------------------------------------------------------
>
> Are there any types of formulas or limitations I should consider
> when transposing a new scale? Does the way the human ear is built,
> for example, say certain pitches correspond more closely to certain
> frequencies hairs in the human ear are aligned to (and if so, which > ones)?
>
> I am trying to transpose a whole lot of my scales and other
> people's and keep on wondering: with so many algorithms for generating
> scales intelligently, shouldn't there be some for transposition (so I
> can avoid using process of elimination)?
>
> -Michael
>
>
>
Charles Lucy
lucy@...

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