Unisquarisma: Difference between revisions

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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..."
 
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m Temperament name revised
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{{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'''.


=== Unisquare ===
=== Unisquary ===
[[Subgroup]]: 2.3.5.7.11
[[Subgroup]]: 2.3.5.7.11


Line 32: Line 32:


== 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]]

Revision as of 13:47, 1 June 2024

Interval information
Ratio 12005/11979
Factorization 3-2 × 5 × 74 × 11-3
Monzo [0 -2 1 4 -3
Size in cents 3.753511¢
Names unisquarisma,
unisquary comma
Color name 1u3z4y3, trilu-aquadzo-ayo 3rd
FJS name [math]\displaystyle{ \text{m3}^{5,7,7,7,7}_{11,11,11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 27.0996
Weil norm (log2 max(n, d)) 27.1027
Wilson norm (sopfr(nd)) 72
Comma size small
Open this interval in xen-calc

12005/11979, the unisquarisma or unisquary comma is a no-twos 11-limit comma measuring about 3.75 cents. It is the amount by which a stack of three 11/7s and one 9/5 falls short of 7/1.

Temperaments

Tempering out this comma in the 11-limit results in the rank-4 unisquary temperament.

Unisquary

Subgroup: 2.3.5.7.11

Comma list: 12005/11979

Mapping:

[⟨ 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: 12, 46, 58, 72, 118, 121, 130, 190, 202, 239, 248, 311

Etymology

The words unisquary and unisquarisma were introduced by Xenllium in 2024. Unisquary is a contraction of unidec, square root of phi (sqrtphi) and harry into a single word.

See also