6656/6655: Difference between revisions

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'''6656/6655''', the '''~~Jacobin~~ comma''', is a [[13-limit]] [[superparticular]] interval of about 0.26012 ~~cents~~. It is the difference between a stack of 3 [[11/8]] superfourths and one [[13/10]] ~~third~~ plus an octave.

'''6656/6655''', the '''jacobin comma''', is a [[13-limit]] (also 2.5.11.13 [[subgroup]]) [[superparticular]] interval of about 0.26012 [[cent]]s. It is the difference between a stack of three [[11/8]] superfourths and one [[13/10]] [[naiadic]] plus an [[octave]].

== 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. 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.

== See also ==

* [[13-limit]]

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-'''6656/6655''', the '''Jacobin comma''', is a [[13-limit]] [[superparticular]] interval of about 0.26012 cents. It is the difference between a stack of 3 [[11/8]] superfourths and one [[13/10]] third plus an octave.
+'''6656/6655''', the '''jacobin comma''', is a [[13-limit]] (also 2.5.11.13 [[subgroup]]) [[superparticular]] interval of about 0.26012 [[cent]]s. It is the difference between a stack of three [[11/8]] superfourths and one [[13/10]] [[naiadic]] plus an [[octave]].
+== 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. 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.
 == See also ==
 * [[13-limit]]