1794edo: Difference between revisions
"History" should be about the edo. This is at best a trivia |
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The best subgroup for 1794 is 11.17.19.29.31.47. | 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 | 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 {{monzo| 25 26 -14 -12 }} comma. | ||
Remarkably, using the patent val, 1794edo tempers out the schisma. | Remarkably, using the patent val, 1794edo tempers out the schisma. | ||
In the 2.11.17 realm, 1794edo shares the | In the 2.11.17 realm, 1794edo shares the {{monzo| -67 43 -20 }} comma with EDOs like {{EDOs| 148, 231, and 296 }}. In the 2.17.19 subgroup, 1794edo tempers out the {{monzo| 277 -21 -45 }} and mirrors 12edo when its m2 and m3 are assumed to be 17/16 and 19/16{{clarify}} <!-- which fifth is m2 and m3 defined on? -->. | ||
== Trivia == | == Trivia == | ||
{{Wikipedia|1794}} | {{Wikipedia| 1794 }} | ||
The number 1794 is known for being the fatal year of the French Revolution. | The number 1794 is known for being the fatal year of the French Revolution. | ||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||
Revision as of 16:06, 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 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[clarification needed] .
Trivia
The number 1794 is known for being the fatal year of the French Revolution.