1794edo: Difference between revisions
Created page with "1794 equal divisions of the octave creates steps of 0.668896 cents each. == Theory == {{primes in edo|1794|columns=15}} 1794edo's divisors are {{EDOs|13, 23, 26, 39, 46, 69,..." |
"History" should be about the edo. This is at best a trivia |
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== Theory == | == Theory == | ||
{{ | {{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|13, 23, 26, 39, 46, 69, 78, 138, 299, 598, and 897}}. | ||
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In the 2.11.17 realm, 1794edo shares the [-67, ... 43, ...-20⟩ comma with EDOs like {{EDOs|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. | In the 2.11.17 realm, 1794edo shares the [-67, ... 43, ...-20⟩ comma with EDOs like {{EDOs|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. | ||
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== 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]] | |||
Revision as of 15:59, 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.
Trivia
The number 1794 is known for being the fatal year of the French Revolution.