6656/6655: Difference between revisions

Line 9:

== Temperaments ==

By tempering it out, the '''jacobin temperament''' is defined. Perhaps most remarkably, '''[[1789edo]]''' is an edo that supports the jacobin temperament. ~~Simpler~~ edos that support this temperament ~~include {{EDOs| 37, 72, 135, 159, 183, 194, 320 }}. On the larger end, the list includes edos like {{EDOs| 3395 and 3125 }}~~. Although it is more rational to use ~~JI-approximating~~ edos ~~like the above mentioned~~ for this temperament, 1789edo has a unique position due to its number of steps being a hallmark year of the French Revolution.

By tempering it out, the '''jacobin temperament''' is defined. Perhaps most remarkably, '''[[1789edo]]''' is an edo that supports the jacobin temperament. You may find a list of good JI-approximating edos that support this temperament below. Although it is more rational to use such edos for this temperament, 1789edo has a unique position due to its number of steps being a hallmark year of the French Revolution.

Subgroup: 2.3.5.7.11.13

[[Comma list]]: 6656/6655

[[Mapping]]:

[{{val| 1 0 0 0 0 -9 }},

{{val| 0 1 0 0 0 0 }},

{{val| 0 0 1 0 0 1 }},

{{val| 0 0 0 1 0 0 }},

{{val| 0 0 0 0 1 3 }}]

Mapping generators: ~2, ~3, ~5, ~7, ~11

{{Val list|legend=1| 9, 15, 22, 26, 31f, 37, 39df, 41, 46, 63, 72, 87, 111, 152f, 183, 198, 224, 270, 494, 764, 1012, 1084, 1236, 1506, 2814, 2901, 3125, 3395, 8026e, 8296e, 11421e, 11691e, 12927e, 13421e, 16322ee, 16816ee }}

== See also ==

@@ Line 9: / Line 9: @@
 == Temperaments ==
-By tempering it out, the '''jacobin temperament''' is defined. Perhaps most remarkably, '''[[1789edo]]''' is an edo that supports the jacobin temperament. Simpler edos that support this temperament include {{EDOs| 37, 72, 135, 159, 183, 194, 320 }}. On the larger end, the list includes edos like {{EDOs| 3395 and 3125 }}. Although it is more rational to use JI-approximating edos like the above mentioned for this temperament, 1789edo has a unique position due to its number of steps being a hallmark year of the French Revolution.
+By tempering it out, the '''jacobin temperament''' is defined. Perhaps most remarkably, '''[[1789edo]]''' is an edo that supports the jacobin temperament. You may find a list of good JI-approximating edos that support this temperament below. Although it is more rational to use such edos for this temperament, 1789edo has a unique position due to its number of steps being a hallmark year of the French Revolution.
+Subgroup: 2.3.5.7.11.13
+[[Comma list]]: 6656/6655
+[[Mapping]]: <br>
+[{{val| 1 0 0 0 0 -9 }}, <br>
+{{val| 0 1 0 0 0 0 }}, <br>
+{{val| 0 0 1 0 0 1 }}, <br>
+{{val| 0 0 0 1 0 0 }}, <br>
+{{val| 0 0 0 0 1 3 }}]
+Mapping generators: ~2, ~3, ~5, ~7, ~11
+{{Val list|legend=1| 9, 15, 22, 26, 31f, 37, 39df, 41, 46, 63, 72, 87, 111, 152f, 183, 198, 224, 270, 494, 764, 1012, 1084, 1236, 1506, 2814, 2901, 3125, 3395, 8026e, 8296e, 11421e, 11691e, 12927e, 13421e, 16322ee, 16816ee }}
 == See also ==