1794edo: Difference between revisions
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1794 | {{EDO intro|1794}} | ||
== Theory == | == Theory == | ||
{{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|2, 3, 6, 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. | The best subgroup for 1794 is 2.11.17.19.29.31.47. Nonetheless, we will cover some 7-limit interpretations. | ||
Revision as of 19:56, 11 April 2022
Theory
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1794edo's divisors are 2, 3, 6, 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⟩. Most notably, shares this property with 12, 24, 36, 48, as well as 855, 867, 879 and 891, with 855 being a multiple of 171. This is distantly reminiscent of the technique when 12edo's 1 and 3-step intervals, for example C# and D# counting from C, are assumed to be 17/16 and 19/16.
Trivia
The number 1794 is known for being the fatal year of the French Revolution.