936/935: Difference between revisions

'''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.  

It factors into two superparticular intervals: [[1701/1700]] × [[2080/2079]].

 

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]].

This comma was named by [[Aura]] in 2020. Its names come from the Ancient Greek word [[Wiktionary: αἶνος #Ancient Greek|''aînos'']] ("tale", "story" or "fable"), which is fitting due to the comma serving as a viable 17-limit extension to minthmic temperaments, among others. Funny enough, this same Greek word is the source of the Ancient Greek word [[Wiktionary: αἴνιγμα #Ancient Greek|''aínigma'']] ("riddle"), from which we ultimately get our word "enigma", and this is also fitting due to the sheer difficulty that was involved in the initial process of working out both the name and the uses of this comma in a short span of time.  

[[Category:Ainic]]