1029/1000: Difference between revisions

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Created page with "{{Infobox Interval |Name = Keega |Color name = z<sup>3</sup>g<sup>3</sup>3, trizogu 3rd |Comma = yes }} '''1029/1000''', the '''Keega''' is a 7-limit medium comma mea..."
 
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{{Infobox Interval
{{Infobox Interval
|Name = Keega
| Name = Keega
|Color name = z<sup>3</sup>g<sup>3</sup>3, trizogu 3rd
| Color name = z<sup>3</sup>g<sup>3</sup>3, trizogu 3rd
|Comma = yes
| Comma = yes
}}
}}


'''1029/1000''', the '''Keega''' is a [[7-limit]] [[medium comma]] measuring about 49.5 cents. It is the difference between a stack of three [[7/5]]s and a perfect eleventh ([[8/3]]). Tempering out this comma leads to the [[keegic temperaments]].
'''1029/1000''', the '''Keega''' is a [[medium comma|medium]] [[7-limit]] [[comma]] measuring about 49.5 [[cent]]s. It is the difference between a stack of three [[7/5]]'s and a perfect eleventh ([[8/3]]).  
 
== Temperaments ==
Tempering out this comma in the 7-limit leads to the rank-3 [[keegic]] temperament. See [[keegic temperaments]] for a collection of rank-2 temperaments where it is tempered out.  
 
== Etymology ==
The name ''keega'' was given by [[Gene Ward Smith]] in 2005. It is a contraction of ''[[keemun]]'' and ''gawel'', although ''gawel'' was later renamed to ''[[liese]]''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12900.html Yahoo! Tuning Group | ''Seven limit comma names from pairs of temperament names'']</ref>.
 
== Notes ==
 
[[Category:Keegic]]

Revision as of 10:58, 2 January 2024

Interval information
Ratio 1029/1000
Factorization 2-3 × 3 × 5-3 × 73
Monzo [-3 1 -3 3
Size in cents 49.49158¢
Name Keega
Color name z3g33, trizogu 3rd
FJS name [math]\displaystyle{ \text{dd3}^{7,7,7}_{5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 19.9728
Weil norm (log2 max(n, d)) 20.0141
Wilson norm (sopfr(nd)) 45
Comma size medium
Open this interval in xen-calc

1029/1000, the Keega is a medium 7-limit comma measuring about 49.5 cents. It is the difference between a stack of three 7/5's and a perfect eleventh (8/3).

Temperaments

Tempering out this comma in the 7-limit leads to the rank-3 keegic temperament. See keegic temperaments for a collection of rank-2 temperaments where it is tempered out.

Etymology

The name keega was given by Gene Ward Smith in 2005. It is a contraction of keemun and gawel, although gawel was later renamed to liese[1].

Notes