1794edo: Difference between revisions

+todo
It doesn't enable slendric pentad since the mapping of 3 is different. I've reworked this section to accommodate some more notable properties
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{{Primes in edo|1794|columns=15}}
{{Primes in edo|1794|columns=15}}


1794edo's divisors are {{EDOs|13, 23, 26, 39, 46, 69, 78, 138, 299, 598, and 897}}.
1794edo's divisors are {{EDOs| 13, 23, 26, 39, 46, 69, 78, 138, 299, 598, and 897 }}.


The best subgroup for 1794 is 11.17.19.29.31.47.
The best subgroup for 1794 is 2.11.17.19.29.31.47. Nonetheless, we will cover some 7-limit interpretations.  


Using the 1794d val assigns the 7/4 to its [[26edo]] counterpart, and opens the support for the 26edo [[slendric pentad]]. It supports the low-complexity 152&202&1794 temperament eliminating the {{monzo| 25 26 -14 -12 }} comma.  
In the 1794c val, {{val| 1794 2843 '''4165''' 5036 }}, it tempers out the [[horwell comma]] and the [[landscape comma]], supporting [[mutt]]. However, it is ''not'' better tuned than [[171edo]]. Using the 1794bd val, {{val| 1794 '''2844''' 4166 '''5037''' }}, it tempers out {{monzo| 21 -8 -6 2 }}, {{monzo| -7 -15 6 6 }}, {{monzo| -2 -3 15 -10 }}. This mapping of harmonic 7 is the same as [[26edo]]'s.  


Remarkably, using the patent val, 1794edo tempers out the schisma.
Remarkably, using the patent val, 1794edo tempers out the schisma.