936/935: Difference between revisions

+commatic relations
Aura and I agreed we should follow the construction of the term "xenisma"
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{{Infobox Interval
{{Infobox Interval
| Name = ainos, ainic comma
| Name = ainisma, ainic comma
| Comma = yes
| Comma = yes
}}
}}


'''936/935''', the '''ainos''' or '''ainic comma''', is a [[17-limit]] [[unnoticeable comma]] with a size of roughly 1.85 [[cent]]s. It arises as the amount by which a stack consisting of [[18/17]] and [[13/11]] exceeds [[5/4]], as well as the amount by which a stack consisting of [[10/9]] and [[17/16]] falls short of 13/11. Moreover, it is also the interval that differentiates the [[273/272|tannisma (273/272)]] from the [[385/384|keenanisma (385/384)]], and the [[256/255|septendecimal kleisma (256/255)]] from the [[352/351|minthma (352/351)]]. Thus, tempering out this comma is a good way to extend minthmic and gentle harmonies to the 17-limit, as well as a good way to bring keenanismic and tannismic harmonies together. See [[#Commatic relations]] for more.  
'''936/935''', the '''ainisma''' or '''ainic comma''', is a [[17-limit]] [[unnoticeable comma]] with a size of roughly 1.85 [[cent]]s. It arises as the amount by which a stack consisting of [[18/17]] and [[13/11]] exceeds [[5/4]], as well as the amount by which a stack consisting of [[10/9]] and [[17/16]] falls short of 13/11. Moreover, it is also the interval that differentiates the [[273/272|tannisma (273/272)]] from the [[385/384|keenanisma (385/384)]], and the [[256/255|septendecimal kleisma (256/255)]] from the [[352/351|minthma (352/351)]]. Thus, tempering out this comma is a good way to extend minthmic and gentle harmonies to the 17-limit, as well as a good way to bring keenanismic and tannismic harmonies together. See [[#Commatic relations]] for more.  


== Commatic relations ==
== Commatic relations ==
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== Temperaments ==
== Temperaments ==
When tempered out in the full 17-limit, the resulting temperament is called the '''ainic temperament''', or in the 2.3.5.11.13.17 subgroup, the '''ainian temperament'''. Both are characterized by the presence of [[Dyadic chord|essentially tempered chord]]s called [[ainic chords]].
When tempered out in the full 17-limit, the resulting temperament is called the '''ainismic temperament''', or in the 2.3.5.11.13.17 subgroup, the '''ainic temperament'''. Both are characterized by the presence of [[Dyadic chord|essentially tempered chord]]s called [[ainismic chords]].


== Etymology ==
== Etymology ==
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* [[List of superparticular intervals]]
* [[List of superparticular intervals]]


[[Category:Ainic]]
[[Category:Ainismic]]