1794edo

1794 equal divisions of the octave creates steps of 0.668896 cents each.

Theory

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

English Wikipedia has an article on:

1794

The number 1794 is known for being the fatal year of the French Revolution.