936/935: Difference between revisions

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'''936/935''', the '''ainos comma''' is an [[unnoticeable comma|unnoticeable]] [[17-limit]] comma with a size of roughly 1.85 cents.  It forms the interval between the interval between [[18/17]] and [[55/52]] as well as the interval between [[13/11]] and [[85/72]], the interval between the [[273/272|tannisma (273/272)]] and the [[385/384|keenanisma (385/384)]], and, the interval between the [[256/255|septendecimal kleisma (256/255)]] and the [[352/351|minthma (352/351)]].  Thus, tempering out this comma is a good way to extend Neo-Gothic and Minthmic harmonies to the 17-limit, as well as a good way to bring Keenanismic and Tannismic harmonies together.  Furthermore, it is also the interval that differentiates [[17/13]] from [[72/55]], [[24/17]] from [[55/39]], and [[117/64]] from [[935/512]].
'''936/935''', the '''ainos comma''' is an [[unnoticeable comma|unnoticeable]] [[17-limit]] comma with a size of roughly 1.85 cents.  It forms the interval between the interval between [[18/17]] and [[55/52]] as well as the interval between [[13/11]] and [[85/72]], the interval between the [[273/272|tannisma (273/272)]] and the [[385/384|keenanisma (385/384)]], and, the interval between the [[256/255|septendecimal kleisma (256/255)]] and the [[352/351|minthma (352/351)]].  Thus, tempering out this comma is a good way to extend Neo-Gothic and Minthmic harmonies to the 17-limit, as well as a good way to bring Keenanismic and Tannismic harmonies together.  Furthermore, it is also the interval that differentiates [[17/13]] from [[72/55]], [[24/17]] from [[55/39]], and [[117/64]] from [[935/512]].


This comma's name comes from an Ancient Greek word "aînos" meaning "tale", "story" or "fable", which is fitting due to serving as a viable 17-limit extension to minthmic temperaments, among others.
This comma's name comes from an Ancient Greek word "aînos" meaning "tale", "story" or "fable", which is fitting due to serving as a viable 17-limit extension to minthmic temperaments, among others.  Funny enough, this same Greek word is ultimately the source of the Latin word "aenigma" (meaning "riddle")- also fitting due to the difficulty that was involved in the initial process of working out both the name and the uses of this comma.


[[Category:17-limit]]
[[Category:17-limit]]