273/272: Difference between revisions

+commatic relations and temperaments
Tannisma -> prototannisma since {273/272, 441/440, 561/560} is a weak extension of {273/272} and weak extension never share the same name
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{{Infobox Interval
{{Infobox Interval
| Name = tannisma
| Name = prototannisma
| Color name = 17u3oz1, suthozo 1sn,<br>Suthozo comma
| Color name = 17u3oz1, suthozo 1sn,<br>Suthozo comma
| Comma = yes
| Comma = yes
}}
}}


'''273/272''', the '''tannisma''', is a [[small comma|small]] [[17-limit]] (also 2.3.7.13.17 [[subgroup]]) [[comma]] with a value of roughly 6.35 [[cent]]s. It forms the difference between [[21/17]] and [[16/13]], and the difference between [[39/32]] and [[17/14]], as well as the difference between [[17/13]] and [[21/16]].  
'''273/272''', the '''prototannisma''', is a [[small comma|small]] [[17-limit]] (also 2.3.7.13.17 [[subgroup]]) [[comma]] with a value of roughly 6.35 [[cent]]s. It forms the difference between [[21/17]] and [[16/13]], and the difference between [[39/32]] and [[17/14]], as well as the difference between [[17/13]] and [[21/16]].  


== Commatic relations ==
== Commatic relations ==
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== Temperaments ==
== Temperaments ==
Tempering out this comma in the 17-limit leads to the rank-6 '''tannismic temperament''', or in the 2.3.7.13.17 subgroup, the rank-4 '''tannic temperament''', both characterized by the equivalences introduced above, and lead to a type of essentially tempered chord called the [[tannismic chord]]. However, that is not all, as according to [[Scott Dakota]], the tannic temperament is actually of similar overall utility to those that temper out the [[marvel comma]]<ref>[https://www.facebook.com/groups/497105067092502/posts/1158638974272438/ Relevant Facebook post by Scott Dakota]</ref>.  
Tempering out this comma in the 17-limit leads to the rank-6 '''prototannismic temperament''', or in the 2.3.7.13.17 subgroup, the rank-4 '''prototannic temperament''', both characterized by the equivalences introduced above, and lead to a type of essentially tempered chords called [[prototannismic chords]]. The prototannic temperament has a notable [[extension|weak extension]] to the full 17-limit called [[tannic]]. However, that is not all, as according to [[Scott Dakota]], tannic is actually of similar overall utility to those that temper out the [[marvel comma]]<ref>[https://www.facebook.com/groups/497105067092502/posts/1158638974272438/ Relevant Facebook post by Scott Dakota]</ref>.
 
== Etymology ==
This comma was named by Scott Dakota, who also devised the tannic temperament, as the ''tannisma'' no later than 2017. The community decided that it was necessary to distinguish the associated subgroup temperament from its weak extension, so the prefix ''proto-'' was later added.  


== References ==
== References ==
<references/>
<references/>


[[Category:Tannismic]]
[[Category:Prototannismic]]