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Laconic family: Difference between revisions

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The Laconic family [[tempering_out|tempers out]] the [[Laconic_comma|Laconic comma]], 2187/2000, which is the difference between three [[10/9|10/9]]'s and a [[3/2|3/2]]. Although a higher-error temperament, it does pop up enough in the low-numbered EDOs to be useful, most notably in 16-EDO and 21-EDO. The only 7-limit extension that makes any sense to use is [[Gorgo|gorgo]], which also tempers out 1029/1024.
The Laconic family [[tempering out|tempers out]] the [[Laconic comma]], 2187/2000, which is the difference between three [[10/9]]'s and a [[3/2]]. Although a higher-error temperament, it does pop up enough in the low-numbered EDOs to be useful, most notably in [[16edo]] and [[21edo]]. The only 7-limit extension that makes any sense to use is [[gorgo]], which also tempers out 1029/1024.


=Laconic=
= Laconic =
Comma: 2187/2000
Comma: 2187/2000


[[POTE_generator|POTE generator]]: ~10/9 = 227.426
[[POTE generator]]: ~10/9 = 227.426


Map: [<1 1 1|, <0 3 7|>
Map: [<1 1 1|, <0 3 7|>


[[EDO|EDO]]s: [[5edo|5]], [[16edo|16]], [[21edo|21]], [[37edo|37]]b
[[EDO]]s: {{EDOs| 5, 16, 21, 37b }}


[[Badness|Badness]]: 0.1618
[[Badness]]: 0.1618
 
== Gorgo ==
{{see also| Gamelismic clan #Gorgo }}


==Gorgo==
Commas: 36/35, 1029/1024
Commas: 36/35, 1029/1024


Line 19: Line 21:
Map: [<1 1 1 3|, <0 3 7 -1|>
Map: [<1 1 1 3|, <0 3 7 -1|>


EDOs: 5, 16, 21, 37b
EDOs: {{EDOs| 5, 16, 21, 37b }}


Badness: 0.0607
Badness: 0.0607


==11-limit==
== 11-limit ==
Commas: 36/35, 45/44, 1029/1024
Commas: 36/35, 45/44, 1029/1024


Line 30: Line 32:
Map: [<1 1 1 3 1|, <0 3 7 -1 13|>
Map: [<1 1 1 3 1|, <0 3 7 -1 13|>


EDOs: 16, 21, 37b
EDOs: {{EDOs| 16, 21, 37b }}


Badness: 0.0495
Badness: 0.0495


==13-limit==
=== 13-limit ===
Commas: 27/26, 36/35, 45/55, 507/500
Commas: 27/26, 36/35, 45/55, 507/500


Line 41: Line 43:
Map: [<1 1 1 3 1 2|, <0 3 7 -1 13 9|>
Map: [<1 1 1 3 1 2|, <0 3 7 -1 13 9|>


EDOs 16, 21, 37b
EDOs {{EDOs| 16, 21, 37b }}


Badness: 0.0327
Badness: 0.0327


=Spartan=
== Spartan ==
Commas: 36/35, 56/55, 1029/1024
Commas: 36/35, 56/55, 1029/1024


Line 52: Line 54:
Map: [<1 1 1 3 5|, <0 3 7 -1 -8|>
Map: [<1 1 1 3 5|, <0 3 7 -1 -8|>


EDOs: 5, 21
EDOs: {{EDOs| 5, 21 }}


Badness: 0.0627
Badness: 0.0627
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[[Category:Temperament family]]
[[Category:Temperament family]]
[[Category:Laconic]]
[[Category:Laconic]]
[[Category:Rank 2]]
[[Category:Todo:review]]
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