1794edo: Difference between revisions
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== Theory == | == Theory == | ||
{{ | {{Harmonics in equal|1794}} | ||
1794edo's divisors are {{EDOs|2, 3, 6, 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. Notably, it offers a 1794 & [[2016edo|2016]] temperament, and the years 1794 and 2016 are known for having rather grotesque historical events in proportion to their era (see below). | The best subgroup for 1794 is 2.11.17.19.29.31.47. Notably, it offers a 1794 & [[2016edo|2016]] temperament, and the years 1794 and 2016 are known for having rather grotesque historical events in proportion to their era (see below). | ||
It's possible to interpret 1794edo as an intersection of 26edo and 69edo. Using the 1794 2834 4160 5037 val in the 7-limit, which takes 5-limit from 69edo and 7/4 from 26edo, produces a comma basis 81/80, [-41, 1, 17, 0⟩, [20, 13, 14, -26⟩. | |||
Nonetheless, 1794edo does offer some simpler interpretations. | Nonetheless, 1794edo does offer some simpler interpretations. | ||