56/55 and 55/54

Does anyone have a theory as to what these two are, or should be,
named? Huyghens-Fokker has lehmerisma down for their ratio, 3025/3025,
but no name for them.

Gene Ward Smith wrote:
> Does anyone have a theory as to what these two are, or should be,
> named? Huyghens-Fokker has lehmerisma down for their ratio, 3025/3025,
> but no name for them.

55/54 seems mainly to be associated with 11-limit porcupine, so perhaps a name from the porcupine family? Hystrix was used for a 7-limit temperament; other Old World porcupines are Atherurus and Trichys. New World porcupines include Coendou, Echinoprocta, Erethizon, and Sphiggurus.

--- In tuning@yahoogroups.com, Herman Miller <hmiller@I...> wrote:
>
> Gene Ward Smith wrote:
> > Does anyone have a theory as to what these two are, or should be,
> > named? Huyghens-Fokker has lehmerisma down for their ratio, 3025/3025,
> > but no name for them.
>
> 55/54 seems mainly to be associated with 11-limit porcupine, so perhaps
> a name from the porcupine family? Hystrix was used for a 7-limit
> temperament; other Old World porcupines are Atherurus and Trichys. New
> World porcupines include Coendou, Echinoprocta, Erethizon, and
Sphiggurus.

Scary names. 55/54 is the ratio between a unidecimal neutral third and
a minor third, if that helps any: (6/5)/(11/9) = 55/54. 56/55 is the
ratio between the septimal tritone of 7/5 and 11/8: (7/5)/(11/8) =
56/55. If you consider 11-limit keemun a good temperament, and you
probably do knowing you, then it's associated to that (ie, the 15&19
temperament.)