Geometry and relative distance

You geometers might want to look at it geometrically--take the 3D lattice of 7-limit JI classes, rotate it so that things separated by the comma in question are stacked--in other words, the comma is perpendicular to your "eye"--and then project down onto a plane, making the comma vanish. Since we now have a number of 7-limit classes coinciding, we pick the one of smallest tenney height within the ocatave to label the point.

--- In tuning-math@yahoogroups.com, "Gene Ward Smith
<genewardsmith@j...>" <genewardsmith@j...> wrote:
> You geometers might want to look at it geometrically--take the 3D
>lattice of 7-limit JI classes, rotate it so that things separated by
>the comma in question are stacked--in other words, the comma is
>perpendicular to your "eye"--

this was the construction i used in proving the Hypothesis . . .

>and then project down onto a plane, making the comma vanish.

ah! there it is! just shows ya how much easier it is to visualize two
dimensions than three!