5767168/5767125: Difference between revisions
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{{Infobox Interval|Name=insanisma|Color name=satrithu-alorutriguma, s3u^31org^3M|Comma=yes}}5767168/5767125, the insanisma is a 13-limit interval, one of the smallest 13-limit | {{Infobox Interval | ||
| Name = insanisma | |||
| Color name = satrithu-alorutriguma, s3u^31org^3M | |||
| Comma = yes | |||
}} | |||
'''5767168/5767125''', the '''insanisma''', is a [[13-limit]] interval, one of the smallest 13-limit [[comma]]s. It is an [[ultraparticular]], the difference between [[4096/4095]] and [[4225/4224]], or S64/S65 [[S-expression|S-expressed]]. | |||
As an ultraparticular, it is the difference between | As an ultraparticular, it is the difference between [[22/21]] and ([[65/64]])<sup>3</sup>. It also splits the [[olympia]] in three and the [[ibnsinma]] in two, each for 4096/4095~4225/4224. | ||
== Temperaments == | == Temperaments == | ||
This comma is trivially tempered out in [[olympic]], as 4096/4095 and 4225/4224 are also tempered out there. Thus, any temperament of olympic also tempers it out. See [[Olympic clan|here]] for a compendium of temperaments and edos that temper out this comma due to being olympian. | |||
Other non-olympian edos that temper out the insanisma by patent val, but not either of S64 and S65 include {{EDOs|35, 40, 49}}, and some hyperfine edos like [[3395edo|3395]] and [[8539edo|8539]]. | Other non-olympian edos that temper out the insanisma by patent val, but not either of S64 and S65 include {{EDOs| 35, 40, 49 }}, and some hyperfine edos like [[3395edo|3395]] and [[8539edo|8539]]. | ||
== Etymology == | |||
This comma was named by [[Eufalesio]] in 2026. | |||
[[Category:Insanismic]] | |||
[[Category:Commas named for other reasons]] | |||
Revision as of 04:33, 5 June 2026
| Interval information |
5767168/5767125, the insanisma, is a 13-limit interval, one of the smallest 13-limit commas. It is an ultraparticular, the difference between 4096/4095 and 4225/4224, or S64/S65 S-expressed.
As an ultraparticular, it is the difference between 22/21 and (65/64)3. It also splits the olympia in three and the ibnsinma in two, each for 4096/4095~4225/4224.
Temperaments
This comma is trivially tempered out in olympic, as 4096/4095 and 4225/4224 are also tempered out there. Thus, any temperament of olympic also tempers it out. See here for a compendium of temperaments and edos that temper out this comma due to being olympian.
Other non-olympian edos that temper out the insanisma by patent val, but not either of S64 and S65 include 35, 40, 49, and some hyperfine edos like 3395 and 8539.
Etymology
This comma was named by Eufalesio in 2026.