Unisquarisma: Difference between revisions

Xenllium (talk | contribs)
Created page with "{{Infobox Interval | Ratio = 12005/11979 | Name = unisquarisma, unisquare comma | Color name = 1u<sup>3</sup>z<sup>4</sup>y3, trilu-aquadzo-ayo 3rd | Comma = yes }} '''12005/1..."
 
BudjarnLambeth (talk | contribs)
mNo edit summary
 
(3 intermediate revisions by 2 users not shown)
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
| Ratio = 12005/11979
| Ratio = 12005/11979
| Name = unisquarisma, unisquare comma
| Name = unisquarisma, unisquary comma
| Color name = 1u<sup>3</sup>z<sup>4</sup>y3, trilu-aquadzo-ayo 3rd
| Color name = 1u<sup>3</sup>z<sup>4</sup>y3, trilu-aquadzo-ayo 3rd
| Comma = yes
| Comma = yes
}}
}}
'''12005/11979''', the '''unisquarisma''' or '''unisquare comma''' is a no-twos [[11-limit]] comma measuring about 3.75 [[cent]]s. It is the amount by which a stack of three [[11/7]]s and one [[9/5]] falls short of [[7/1]].
'''12005/11979''', the '''unisquarisma''' or '''unisquary comma''' is a no-twos [[11-limit]] comma measuring about 3.75 [[cent]]s. It is the amount by which a stack of three [[11/7]]s and one [[9/5]] falls short of [[7/1]].


== Temperaments ==
== Temperaments ==
Tempering out this comma in the 11-limit results in the rank-4 '''unisquare temperament'''.
Tempering out this comma in the 11-limit results in the rank-4 '''unisquary temperament''' (→ [[Catalog of rank-4 temperaments #Unisquary (12005/11979)]]).
 
=== Unisquare ===
[[Subgroup]]: 2.3.5.7.11
 
[[Comma list]]: 12005/11979
 
[[Mapping]]: <br>
{| class="right-all"
| [⟨ || 1 || 0 || 0 || 0 || 0 || ],
|-
| ⟨ || 0 || 1 || 0 || 2 || 2 || ],
|-
| ⟨ || 0 || 0 || 1 || -1 || -1 || ],
|-
| ⟨ || 0 || 0 || 0 || 3 || 4 || ]]
|}
: Mapping generators: ~2, ~3, ~5, ~11/7
 
[[Optimal tuning]] (TE): ~2 = 1\1, ~3 = 1902.0307, ~5 = 2786.2325, ~11/7 = 783.5074
 
Supporting ETs: {{Optimal ET sequence|12, 46, 58, 72, 118, 121, 130, 190, 202, 239, 248, 311}}


== Etymology ==
== Etymology ==
The words ''unisquare'' and ''unisquarisma'' were introduced by [[User:Xenllium|Xenllium]] in 2024. ''Unisquare'' is a contraction of ''[[unidec]]'' and ''square root of phi'' ([[sqrtphi]]) into a single word.
The words ''unisquary'' and ''unisquarisma'' were introduced by [[User:Xenllium|Xenllium]] in 2024. ''Unisquary'' is a contraction of ''[[unidec]]'', ''square root of phi'' ([[sqrtphi]]) and ''[[harry]]'' into a single word.


== See also ==
== See also ==
* [[Small comma]]
* [[Small comma]]


[[Category:Unisquare]]
[[Category:Unisquary]]
[[Category:Commas named by combining multiple temperament names]]