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 ~~commas~~. It is an [[ultraparticular]], the difference between [[4096/4095]] and [[4225/4224]], or S64/S65 [[S-expression|S-expressed]].

{{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 ~~66/63 =~~ [[22/21]] and (65/64)^3. It also splits the [[olympia]] in three and the [[ibnsinma]] in two 4096/4095~4225/4224.

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 ==

It 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.

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]]

@@ Line 1: / Line 1: @@
-{{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 commas. It is an [[ultraparticular]], the difference between [[4096/4095]] and [[4225/4224]], or S64/S65 [[S-expression|S-expressed]].
+{{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 66/63 = [[22/21]] and (65/64)^3. It also splits the [[olympia]] in three and the [[ibnsinma]] in two 4096/4095~4225/4224.
+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 ==
-It 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.
+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]]