1794edo

Revision as of 15:59, 23 November 2021 by FloraC (talk | contribs) ("History" should be about the edo. This is at best a trivia)

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 11.17.19.29.31.47.

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 [25 26 -14 -12⟩ comma.

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.

Trivia

 
English Wikipedia has an article on:

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