Most likely also the Banshiki-Cho should have other inner intervals. The synthetic 7-A scale, an aural experiment. Everybody that listen to this interval experience a whole tone step. This scale can not be played on any normal musical instrument so it was synthesised and played through a computer. The listeners hear a septatonic scale starting with a few whole tone-steps.
Most people also experience that the scale ends in at least one major second.
Many people also seem to experience the rather correct tone position of the fifth. Calculating the tempered interval i HS .