PRETTIER DISSONANCE CURVE (for Margo and the List)

I HOPE EVERYONE WILL LOOK AND COMMENT:

/tuning/files/dyadic/margo2.gif

(Margo, I wonder if this could serve as a useful dissonance curve for
you, at least for some harmonic timbres. As there may be a local
minimum at every rational number, there may also be an infinite
number of local maxima within any finite region, so the question of
whether there is a local maximum around 423 cents becomes moot.
However, you can see that, according to this curve, the most
dissonant intervals between 5:4 and 9:7 do occur at around 423 cents,
so this curve may depict your perceptions well. Note also that 14:11
and even more complex ratios have a small but unmistakable "valley"
associated with them, honoring your use of such ratios as "reference
points" if not outright tuning goals. Let me know what you think.)

--- In tuning@y..., "paulerlich" <paul@s...> wrote:

/tuning/topicId_31884.html#31884

> I HOPE EVERYONE WILL LOOK AND COMMENT:
>
>
/tuning/files/dyadic/margo2.gif
>
>
Hi Paul...

This looks like the x-ray I had when last I went to the dentist...

[Sorry... couldn't resist :) }

Happy New Year!

Joseph Pehrson