169/168: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = | | Name = buzurgisma, dhanvantarisma | ||
| Color name = 3oor1, Thothoru comma | | Color name = 3oor1, thothoru 1sn,<br>Thothoru comma | ||
| Comma = yes | |||
}} | }} | ||
169/168, is a superparticular ratio measuring about 10.3 | '''169/168''', the '''buzurgisma''' or the '''dhanvantarisma''' is a [[superparticular]] ratio measuring about 10.3 [[cent]]s. It is the difference between the neutral seconds of [[13/12]] and [[14/13]] as well as between the neutral sixths of [[21/13]] and [[13/8]]. | ||
== | == Temperaments == | ||
[[Tempering out]] this comma in the 13-limit gives the rank-5 '''buzurgismic''' or '''dhanvantarismic temperament'''. Tempering it out in the 2.3.7.13 [[subgroup]] gives the rank-3 '''buzurgic''' or '''dhanvantaric temperament'''. In such systems, 13/12 and 14/13 are equated, enabling [[buzurgismic chords|buzurgismic or dhanvantarismic chords]]. This is very comparable to tempering out of [[121/120]], which results in [[biyatismic]], in which [[11/10]] is equated with [[12/11]]. | |||
Besides tempering, the interval serves as a period in the 13-limit temperament [[oganesson]], where it is equated with 1/118th of the octave. | |||
== Etymology == | |||
The buzurgisma was named by [[Margo Schulter]] in 2012. The name comes from the buzurg aka buzurk [[genus]] by [[Safi al-Din Urmavi]], which features a neutral second<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_105622.html Yahoo! Tuning Group | ''13 limit comma names'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_78630.html Yahoo! Tuning Group | ''Correction to Buzurk'']</ref>. | |||
The dhanvantarisma was presumably named by an unknown guest in 2011 since it seems this wiki was the place where it made its first appearance<ref>See [https://en.xen.wiki/index.php?title=Small_comma&oldid=13493 Small comma (Revision as of 15:50, 13 September 2011 by Wikispaces>guest)]</ref>. | |||
It looks as if it “dhavantarisma” might be named after Dhavantari, the Hindu god of Ayurvedic medicine, physician of the gods, and an avatar of Lord Vishnu. It is unclear whether 169/168 has anything to do with [[Indian]] music or with the [[Vishnu]] temperament.{{todo|research|add etymology|comment=figure out whether it does}} | |||
Alternatively, it might be named after the word “dhavanta” from the Pali and Kannada languages. It has multiple meanings including “running away”, “hurrying, especially due to eagerness or anxiety”, “great or unreasoning affection or fondness (for a person or thing)”, or “fatigue, weariness”. {{todo|research|add etymology|comment=figure out whether the comma or its temperaments reflect any of those meanings in any way}} | |||
== Notes == | |||
[[Category:Buzurgismic]] | |||
[[Category:Commas named after musical traditions]] | |||
[[Category:Commas named after mythology or literature]] | |||
Latest revision as of 03:20, 11 April 2025
| Interval information |
dhanvantarisma
Thothoru comma
reduced
169/168, the buzurgisma or the dhanvantarisma is a superparticular ratio measuring about 10.3 cents. It is the difference between the neutral seconds of 13/12 and 14/13 as well as between the neutral sixths of 21/13 and 13/8.
Temperaments
Tempering out this comma in the 13-limit gives the rank-5 buzurgismic or dhanvantarismic temperament. Tempering it out in the 2.3.7.13 subgroup gives the rank-3 buzurgic or dhanvantaric temperament. In such systems, 13/12 and 14/13 are equated, enabling buzurgismic or dhanvantarismic chords. This is very comparable to tempering out of 121/120, which results in biyatismic, in which 11/10 is equated with 12/11.
Besides tempering, the interval serves as a period in the 13-limit temperament oganesson, where it is equated with 1/118th of the octave.
Etymology
The buzurgisma was named by Margo Schulter in 2012. The name comes from the buzurg aka buzurk genus by Safi al-Din Urmavi, which features a neutral second[1][2].
The dhanvantarisma was presumably named by an unknown guest in 2011 since it seems this wiki was the place where it made its first appearance[3].
It looks as if it “dhavantarisma” might be named after Dhavantari, the Hindu god of Ayurvedic medicine, physician of the gods, and an avatar of Lord Vishnu. It is unclear whether 169/168 has anything to do with Indian music or with the Vishnu temperament.
Alternatively, it might be named after the word “dhavanta” from the Pali and Kannada languages. It has multiple meanings including “running away”, “hurrying, especially due to eagerness or anxiety”, “great or unreasoning affection or fondness (for a person or thing)”, or “fatigue, weariness”.