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]]. When tempered out in a linearly independent fashion, the resulting temperaments are called "'''[[ainic temperaments]]'''". | '''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]]. When tempered out in a linearly independent fashion, the resulting temperaments are called "'''[[ainic temperaments]]'''". | ||
This comma's name comes from an Ancient Greek word "aînos" (meaning "tale", "story" or "fable"<ref>[[Wiktionary: αἶνος #Ancient Greek]]</ref>) which is fitting due to 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 | This comma's name comes from an Ancient Greek word "aînos" (meaning "tale", "story" or "fable"<ref>[[Wiktionary: αἶνος #Ancient Greek]]</ref>) which is fitting due to 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. | ||
== References == | == References == | ||
Revision as of 02:36, 29 December 2020
| Interval information |
reduced
936/935, the ainos comma, is an 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 tannisma (273/272) and the keenanisma (385/384), and, the interval between the septendecimal kleisma (256/255) and the 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. When tempered out in a linearly independent fashion, the resulting temperaments are called "ainic temperaments".
This comma's name comes from an Ancient Greek word "aînos" (meaning "tale", "story" or "fable"[1]) which is fitting due to 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.