6656/6655: Difference between revisions
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Created page with "{{Infobox Interval | Ratio = 6656/6655 | Monzo = 9 0 -1 0 -3 1 | Cents = 0.26012 | Name = jacobin comma | Color name = thotrilu-agu comma }} '''6656/6655''', the '''Jacobin co..." |
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'''6656/6655''', the ''' | '''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. | |||
== See also == | == See also == | ||
* [[13-limit]] | * [[13-limit]] | ||
Revision as of 09:33, 6 October 2021
| Interval information |
reduced
6656/6655, the jacobin comma, is a 13-limit (also 2.5.11.13 subgroup) superparticular interval of about 0.26012 cents. 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 37, 72, 135, 159, 183, 194, 320. On the larger end, the list includes edos like 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.