1794edo: Difference between revisions
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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. | ||
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. | ||
Revision as of 16:19, 23 November 2021
1794 equal divisions of the octave creates steps of 0.668896 cents each.
Theory
Script error: No such module "primes_in_edo".
1794edo's divisors are 13, 23, 26, 39, 46, 69, 78, 138, 299, 598, and 897.
The best subgroup for 1794 is 2.11.17.19.29.31.47. Nonetheless, we will cover some 7-limit interpretations.
In the 1794c 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, ⟨1794 2844 4166 5037], it tempers out [21 -8 -6 2⟩, [-7 -15 6 6⟩, [-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.
In the 2.11.17 realm, 1794edo shares the [-67 43 -20⟩ comma with EDOs like 148, 231, and 296. In the 2.17.19 subgroup, 1794edo tempers out the [277 -21 -45⟩ and mirrors 12edo when its m2 and m3 are assumed to be 17/16 and 19/16[clarification needed] .
Trivia
The number 1794 is known for being the fatal year of the French Revolution.