IS... AN EXPANSION CONCAVE... OR CONVEX?

Six circles were drawn tangent to the center point of one circle. Each arm of one circle becomes a curved axis, representing different multiples.
From this we can determine the patterns of the different spacing between the multiples. Each number represents either the numerator or the denominator of a pitch relative to its fundamental.
An expanding axis is to be considered one which has the notes pulsed widely apart. We took the rim of the first circle to be 100. Therefore the circular red lines are notations of 10s. The appropriate notes are indicated along each axis.
We conceived the concave and convex areas to be next to one another. The curved axis was chosen as it seems to my way of thinking to be more in harmony with universal laws... If one thinks of a balloon being inflated. IS AN EXPANSION CONCAVE? OR CONVEX? ...