Miracle chords: Difference between revisions

A '''miracle chord''' is an [[essentially tempered chord]] of miracle temperament; they are included among those listed as [[chords of miracle]]. Aside from the swetismic, werckismic, keenanismic, rastmic, marvel, unimarvel, jove and prodigy chords listed there, there are ten further essentially miracle chords. These are the inversely related pair of tetrads:

* 1-10/7-8/5-7/4 with steps 10/7-9/8-12/11-8/7 and 1-9/8-8/5-11/6 with steps 9/8-10/7-8/7-12/11;  

the three pairs of pentads:  

* 1-5/4-10/7-8/5-7/4 with steps 5/4-8/7-9/8-12/11-8/7 and 1-5/4-10/7-14/9-7/4 with steps 5/4-8/7-12/11-9/8-8/7;  

1-11/9-11/8-3/2-12/7 with steps 11/9-9/8-12/11-8/7-7/6 and 1-12/11-11/9-3/2-7/4 with steps 12/11-9/8-11/9-7/6-8/7;  

1-9/8-10/7-8/5-7/4 with steps 9/8-14/11-9/8-12/11-8/7 and 1-9/8-10/7-8/5-11/6 with steps 9/8-14/11-9/8-8/7-12/11;  

and the pair of hexads:  

* 1-9/8-5/4-10/7-8/5-7/4 with steps 9/8-10/9-8/7-9/8-12/11-8/7 and 1-10/9-5/4-10/7-14/9-7/4 with steps 10/9-9/8-8/7-12/11-9/8-8/7.  

EDOs allowing miracle chords include 31, 41, 72, 103, 175, 216c, 247c, 319bcde, 391bcde and 463bcde.

[[Category:11-limit]]

[[Category:Chords]]

[[Category:Dyadic]]