Re: [tuning] Digest Number 5747-Helmholtz

Has anyone programmed Helholtz's dissonance algorithm and compared it to Sethares's, Kameoka & Kuriyagawa's or Harmonic Entropy? All I have seen in modern works are virtually illegible reproductions of the diagram in the Dover edition of On the Sensations of Tone.

-John

I have stared at that one for some time trying to tell what the difference between these for a while

/^_,',',',_ //^ /Kraig Grady_ ^_,',',',_
Mesotonal Music from:
_'''''''_ ^North/Western Hemisphere: North American Embassy of Anaphoria Island <http://anaphoria.com/>

_'''''''_ ^South/Eastern Hemisphere:
Austronesian Outpost of Anaphoria <http://anaphoriasouth.blogspot.com/>

',',',',',',',',',',',',',',',',',',',',',',',',',',',',',

John H. Chalmers wrote:
>
> Has anyone programmed Helholtz's dissonance algorithm and compared it to
> Sethares's, Kameoka & Kuriyagawa's or Harmonic Entropy? All I have seen
> in modern works are virtually illegible reproductions of the diagram in
> the Dover edition of On the Sensations of Tone.
>
> -John
>
>

Is there a reference to Kameoka & KuriyagawaJ i am not familiar with them

/^_,',',',_ //^ /Kraig Grady_ ^_,',',',_
Mesotonal Music from:
_'''''''_ ^North/Western Hemisphere: North American Embassy of Anaphoria Island <http://anaphoria.com/>

_'''''''_ ^South/Eastern Hemisphere:
Austronesian Outpost of Anaphoria <http://anaphoriasouth.blogspot.com/>

',',',',',',',',',',',',',',',',',',',',',',',',',',',',',

John H. Chalmers wrote:
>
> Has anyone programmed Helholtz's dissonance algorithm and compared it to
> Sethares's, Kameoka & Kuriyagawa's or Harmonic Entropy? All I have seen
> in modern works are virtually illegible reproductions of the diagram in
> the Dover edition of On the Sensations of Tone.
>
> -John
>
>

Hiya John,

> Has anyone programmed Helholtz's dissonance algorithm and compared
> it to Sethares's, Kameoka & Kuriyagawa's or Harmonic Entropy? All
> I have seen in modern works are virtually illegible reproductions
> of the diagram in the Dover edition of On the Sensations of Tone.

I hadn't, but I asssumed it could be found in Sethares' book.
But I looked up Helmholtz in the index (2nd edition) and came
up empty-handed.

My pristine copy of Sensations is still at my parents' house
and I must admit I never cracked the spine. But as someone
(Aaron Hunt?) pointed out here recently, it's in Google Books!
The relevant section on the calculations of the famous curve
is on page 650 of the PDF. You can check if the curve looks
any better than in your Dover edition on pg. 320.

On an unrelated note, you may be aware that for a long time
the term "schismic" temperament was used on this list, but
we were told recently that it should be "schismatic" if we
cared to use correct Greek, and where did we get something
like "schismic" from anyway? We traced the term back to some
early web pages by Graham. But I'm happy to report that
Ellis can be seen using the terms "skhismic" and "skhistic"
on page 800 of the PDF.

-Carl

Kraig Grady wrote:
> Is there a reference to Kameoka & KuriyagawaJ i am not familiar with them

Kameoka, A. and M. Kuriyagawa. "Consonance theory Part II: Consonance of complex Tones and its calculation method", Journal of the Acoustical Society of America vol. 45 no. 6, 1969, pp. 1460-1469.

I once tried and failed to reproduce their graph. The theory's an extension of Plomp and Levelt's involving the critical bands.

Graham