The reason why the interval sizes vary throughout the scale is that the pitches forming the scale are unevenly spaced.

The resulting interval sizes with respect to the base note C are shown in the following table:

To compare different tuning systems, convert the various interval sizes into cents.

Octaves ascend vertically, increasing the playable interval sizes, easing chord inversions, and greatly reducing the time needed to move to a new note or chord.

Closure describes how listeners segment melodies based on pitch direction and interval size.

The latter requires the software to specify to the hardware only once the jumping interval size.

If we fix , the exactness and the interval size begin to compete.

In his publications he has recommended and devised many patterns close to those of Neidhardt, with subtler gradations of interval size.

To include this boundary point, one has to make the interval longer by the maximum possible value of the stride, which is certainly less than the interval size.

So doubling the interval size will definitely work, and this is the reason for the factor of two.