2080/2079: Difference between revisions

Temperaments: formatting
BudjarnLambeth (talk | contribs)
mNo edit summary
 
(3 intermediate revisions by 2 users not shown)
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
| Name = ibnsinma
| Name = ibnsinma, sinaisma
| Color name = 3o1ury1, tholuruyo 1sn,<br>Tholuruyo comma
| Color name = 3o1ury1, tholuruyo 1sn, <br>Tholuruyo comma
| Comma = yes
| 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]]
* [[64/63]] and [[66/65]]
* [[78/77]] and [[81/80]]
* [[78/77]] and [[81/80]]
Line 29: Line 32:


== Temperaments ==
== 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
Line 54: Line 57:


== Etymology ==
== Etymology ==
The ibnsinma 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'', all essentially meaning the same thing, but note that ''avicennma'' refers to Avicenna's enharmonic diesis ([[525/512]]) today.  
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 ==
== See also ==
Line 63: Line 66:


[[Category:Ibnsinmic]]
[[Category:Ibnsinmic]]
[[Category:Commas named after polymaths]]