6656/6655: Difference between revisions
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'''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]]. | '''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]]. In terms of commas, it is the difference between [[364/363]] and [[385/384]], between [[2080/2079]] and [[3025/3024]] as well as between [[4096/4095]] and [[10648/10647]]. | ||
== Temperaments == | == Temperaments == | ||
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[[Category:Unnoticeable comma]] | [[Category:Unnoticeable comma]] | ||
[[Category:Superparticular]] | [[Category:Superparticular]] | ||
[[Category:Jacobin]] | |||
Revision as of 09:37, 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. In terms of commas, it is the difference between 364/363 and 385/384, between 2080/2079 and 3025/3024 as well as between 4096/4095 and 10648/10647.
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.