Miraculous decad

The miraculous decad, an essentially tempered chord, is the 1-14/13-8/7-16/13-13/10-7/5-3/2-8/5-12/7-24/13 chord, tempered in the miraculous and revelation (both temper out 105/104, 196/195 and 512/507 in the 2.3.5.7.13 subgroup), which makes the steps of the scale 14/13-14/13-14/13-14/13-14/13-14/13-14/13-14/13-14/13-13/12. Another way of viewing the miraculous decad is that it is the miraculous tempering of two slendric pentads separated by a semitone which represents 14/13, 15/14 and 16/15 simultaneously.