2080/2079: Difference between revisions

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{{Infobox Interval

| Name = ibnsinma

| Name = ibnsinma, sinaisma

| Color name = 3o1ury1, tholuruyo 1sn, Tholuruyo comma

| Comma = yes

}}

'''2080/2079''', the '''ibnsinma''', is a [[13-limit]] [[unnoticeable comma]] measuring about 0.8 [[cent]]s. It is ~~such~~ a ~~significant~~ comma ~~in the 13-limit being~~ the difference between eight pairs of superparticular ratios:

'''2080/2079''', the '''ibnsinma''', otherwise known as the '''sinaisma''', is a [[13-limit]] [[unnoticeable comma]] measuring about 0.83 [[cent]]s. It is the amount by which a stack consisting of [[11/10]] and [[14/13]] falls short of Pythagorean minor third, [[32/27]].

== Commatic relations ==

This comma identifies itself as the difference between eight pairs of 13-limit superparticular ratios:

* [[64/63]] and [[66/65]]

* [[78/77]] and [[81/80]]

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Line 32:

== Temperaments ==

By tempering it out is defined the '''ibnsinmic temperament''', which enables the ~~'''~~ibnsinmic chords~~'''~~, the essentially tempered ~~chords~~ in the 21-odd-limit. Another consequence is that it makes [[fifth complement]]s of [[13/11]] and [[80/63]], and of [[40/33]] and [[26/21]]. You may find a list of good equal temperaments that support this temperament below.

By tempering it out is defined the '''ibnsinmic''' or '''sinaismic temperament''', which enables the [[ibnsinmic chords|ibnsinmic a.k.a. sinaismic chords]], the [[essentially tempered chord]]s in the [[21-odd-limit]]. Another consequence is that it makes [[fifth complement]]s of [[13/11]] and [[80/63]], and of [[40/33]] and [[26/21]]. You may find a list of good equal temperaments that support this temperament below.

Subgroup: 2.3.5.7.11.13

[[Subgroup]]: 2.3.5.7.11.13

[[Mapping]]:

[~~{{val~~| 1 0 0 0 0 -5 }}, ~~ ~~

{| class="right-all"

~~{{val~~| 0 1 0 0 0 3 }}, ~~ ~~

|-

~~{{val~~| 0 0 1 0 0 -1 }}, ~~ ~~

| [⟨ || 1 || 0 || 0 || 0 || 0 || -5 || ],

~~{{val~~| 0 0 0 1 0 1 }}, ~~ ~~

|-

~~{{val~~| 0 0 0 0 1 1 }}]

| ⟨ || 0 || 1 || 0 || 0 || 0 || 3 || ],

|-

| ⟨ || 0 || 0 || 1 || 0 || 0 || -1 || ],

|-

| ⟨ || 0 || 0 || 0 || 1 || 0 || 1 || ],

|-

| ⟨ || 0 || 0 || 0 || 0 || 1 || 1 || ]]

|}

~~Mapping~~ generators: ~2, ~3, ~5, ~7, ~11

: mapping generators: ~2, ~3, ~5, ~7, ~11

{{~~Val list~~|legend=1| 12f, 14cf, 15, 17c, 19, 22f, 26, 29, 31f, 39df, 41, 46, 53, 58, 72, 87, 111, 130, 183, 198, 224, 270, 494, 764, 935, 1075, 1205, 1699, 2280, 2774e, 3326de, 3596de, 3907bdee, 4401bdee, 4671bde }} *

{{Optimal ET sequence|legend=1| 12f, 14cf, 15, 17c, 19, 22f, 26, 29, 31f, 39df, 41, 46, 53, 58, 72, 87, 111, 130, 183, 198, 224, 270, 494, 764, 935, 1075, 1205, 1699, 2280, 2774e, 3326de, 3596de, 3907bdee, 4401bdee, 4671bde }} *

<nowiki>*</nowiki> [[optimal patent val]]: [[3044edo|3044]]

== Etymology ==

This comma was named by [[Margo Schulter]] in 2012, when it went by ''ibn Sina's comma''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_105620.html Yahoo! Tuning List | ''123201/123200 chalmersia, 194481/194480 scintillisma'']</ref>. It was contracted to ''avicennma'' and later changed to ''ibnsinma'' by [[Gene Ward Smith]], all essentially meaning the same. Note that ''avicennma'' refers to Avicenna's enharmonic diesis ([[525/512]]) today. In 2023, [[Flora Canou]] proposed ''sinaisma'' as another spelling, reflecting the fact that the [[interval region]] arising from the same source is called ''[[sinaic]]''.

== See also ==

* [[Unnoticeable comma]]

* [[List of superparticular intervals]]

== Notes ==

[[Category:Ibnsinmic]]

[[Category:Commas named after polymaths]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = ibnsinma
+| Name = ibnsinma, sinaisma
+| Color name = 3o1ury1, tholuruyo 1sn, <br>Tholuruyo comma
 | Comma = yes
 }}
-'''2080/2079''', the '''ibnsinma''', is a [[13-limit]] [[unnoticeable comma]] measuring about 0.8 [[cent]]s. It is such a significant comma in the 13-limit being the difference between eight pairs of superparticular ratios:
+'''2080/2079''', the '''ibnsinma''', otherwise known as the '''sinaisma''', is a [[13-limit]] [[unnoticeable comma]] measuring about 0.83 [[cent]]s. It is the amount by which a stack consisting of [[11/10]] and [[14/13]] falls short of Pythagorean minor third, [[32/27]].
+== Commatic relations ==
+This comma identifies itself as the difference between eight pairs of 13-limit superparticular ratios:
 * [[64/63]] and [[66/65]]
 * [[78/77]] and [[81/80]]
@@ Line 28: / Line 32: @@
 == Temperaments ==
-By tempering it out is defined the '''ibnsinmic temperament''', which enables the '''ibnsinmic chords''', the essentially tempered chords in the 21-odd-limit. Another consequence is that it makes [[fifth complement]]s of [[13/11]] and [[80/63]], and of [[40/33]] and [[26/21]]. You may find a list of good equal temperaments that support this temperament below.
+By tempering it out is defined the '''ibnsinmic''' or '''sinaismic temperament''', which enables the [[ibnsinmic chords|ibnsinmic a.k.a. sinaismic chords]], the [[essentially tempered chord]]s in the [[21-odd-limit]]. Another consequence is that it makes [[fifth complement]]s of [[13/11]] and [[80/63]], and of [[40/33]] and [[26/21]]. You may find a list of good equal temperaments that support this temperament below.
-Subgroup: 2.3.5.7.11.13
+[[Subgroup]]: 2.3.5.7.11.13
 [[Mapping]]: <br>
-[{{val| 1 0 0 0 0 -5 }}, <br>
+{| class="right-all"
-{{val| 0 1 0 0 0 3 }}, <br>
+|-
-{{val| 0 0 1 0 0 -1 }}, <br>
+| [⟨ || 1 || 0 || 0 || 0 || 0 || -5 || ],
-{{val| 0 0 0 1 0 1 }}, <br>
+|-
-{{val| 0 0 0 0 1 1 }}]
+| ⟨ || 0 || 1 || 0 || 0 || 0 || 3 || ],
+|-
+| ⟨ || 0 || 0 || 1 || 0 || 0 || -1 || ],
+|-
+| ⟨ || 0 || 0 || 0 || 1 || 0 || 1 || ],
+|-
+| ⟨ || 0 || 0 || 0 || 0 || 1 || 1 || ]]
+|}
-Mapping generators: ~2, ~3, ~5, ~7, ~11
+: mapping generators: ~2, ~3, ~5, ~7, ~11
-{{Val list|legend=1| 12f, 14cf, 15, 17c, 19, 22f, 26, 29, 31f, 39df, 41, 46, 53, 58, 72, 87, 111, 130, 183, 198, 224, 270, 494, 764, 935, 1075, 1205, 1699, 2280, 2774e, 3326de, 3596de, 3907bdee, 4401bdee, 4671bde }} *
+{{Optimal ET sequence|legend=1| 12f, 14cf, 15, 17c, 19, 22f, 26, 29, 31f, 39df, 41, 46, 53, 58, 72, 87, 111, 130, 183, 198, 224, 270, 494, 764, 935, 1075, 1205, 1699, 2280, 2774e, 3326de, 3596de, 3907bdee, 4401bdee, 4671bde }} *
 <nowiki>*</nowiki> [[optimal patent val]]: [[3044edo|3044]]
+== Etymology ==
+This comma was named by [[Margo Schulter]] in 2012, when it went by ''ibn Sina's comma''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_105620.html Yahoo! Tuning List | ''123201/123200 chalmersia, 194481/194480 scintillisma'']</ref>. It was contracted to ''avicennma'' and later changed to ''ibnsinma'' by [[Gene Ward Smith]], all essentially meaning the same. Note that ''avicennma'' refers to Avicenna's enharmonic diesis ([[525/512]]) today. In 2023, [[Flora Canou]] proposed ''sinaisma'' as another spelling, reflecting the fact that the [[interval region]] arising from the same source is called ''[[sinaic]]''.
 == See also ==
 * [[Unnoticeable comma]]
 * [[List of superparticular intervals]]
+== Notes ==
 [[Category:Ibnsinmic]]
+[[Category:Commas named after polymaths]]