936/935: Difference between revisions
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'''936/935''', the '''ainos comma''' or '''ainma''', is an [[unnoticeable comma|unnoticeable]] [[17-limit]] comma with a size of roughly 1.85 cents. It forms the interval between [[18/17]] and [[55/52]] as well as the interval between [[13/11]] and [[85/72]]. Moreover, it is also the interval that differentiates [[17/13]] from [[72/55]], [[24/17]] from [[55/39]], and [[117/64]] from [[935/512]], 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 harmonies to the 17-limit, as well as a good way to bring Keenanismic and Tannismic harmonies together. When tempered out in a linearly independent fashion, the resulting temperaments are called "''' | '''936/935''', the '''ainos comma''' or '''ainma''', is an [[unnoticeable comma|unnoticeable]] [[17-limit]] comma with a size of roughly 1.85 cents. It forms the interval between [[18/17]] and [[55/52]] as well as the interval between [[13/11]] and [[85/72]]. Moreover, it is also the interval that differentiates [[17/13]] from [[72/55]], [[24/17]] from [[55/39]], and [[117/64]] from [[935/512]], 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 harmonies to the 17-limit, as well as a good way to bring Keenanismic and Tannismic harmonies together. When tempered out in a linearly independent fashion, the resulting temperaments are called "'''ainos temperaments'''", and are characterized by the presence of [[Dyadic chord|essentially tempered chord]]s called "'''[[ainic chords]]'''". | ||
This comma's names come from the Ancient Greek word "aînos" (meaning "tale", "story" or "fable"<ref>[[Wiktionary: αἶνος #Ancient Greek]]</ref>), 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 "aínigma" (meaning "riddle"<ref>[[Wiktionary: αἴνιγμα #Ancient Greek]]</ref>), 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. | This comma's names come from the Ancient Greek word "aînos" (meaning "tale", "story" or "fable"<ref>[[Wiktionary: αἶνος #Ancient Greek]]</ref>), 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 "aínigma" (meaning "riddle"<ref>[[Wiktionary: αἴνιγμα #Ancient Greek]]</ref>), 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. | ||
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== See also == | == See also == | ||
* [[Ainic chords]] | * [[Ainic chords]] | ||
* [[Unnoticeable comma]] | * [[Unnoticeable comma]] | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
Revision as of 06:37, 31 December 2020
| Interval information |
ainma
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936/935, the ainos comma or ainma, is an unnoticeable 17-limit comma with a size of roughly 1.85 cents. It forms the interval between 18/17 and 55/52 as well as the interval between 13/11 and 85/72. Moreover, it is also the interval that differentiates 17/13 from 72/55, 24/17 from 55/39, and 117/64 from 935/512, the tannisma (273/272) from the keenanisma (385/384), and the septendecimal kleisma (256/255) from the minthma (352/351). Thus, tempering out this comma is a good way to extend Minthmic harmonies to the 17-limit, as well as a good way to bring Keenanismic and Tannismic harmonies together. When tempered out in a linearly independent fashion, the resulting temperaments are called "ainos temperaments", and are characterized by the presence of essentially tempered chords called "ainic chords".
This comma's names come from the Ancient Greek word "aînos" (meaning "tale", "story" or "fable"[1]), 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 "aínigma" (meaning "riddle"[2]), 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.