1794edo: Difference between revisions

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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.

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.

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 {{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}} .

== Trivia ==

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

[[Category:Equal divisions of the octave]]

@@ Line 8: / Line 8: @@
 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.
+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.
-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 {{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 ==
-{{Wikipedia|1794}}
+{{Wikipedia| 1794 }}
 The number 1794 is known for being the fatal year of the French Revolution.
 [[Category:Equal divisions of the octave]]