2023/2000: Difference between revisions

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Created page with "{{Infobox Interval | Ratio = 2023/2000 | Name = pentagoth comma | Color name = 17oozg<sup>3</sup>3<br/>sosozotrigu 3rd<br/>Sosozotrigu comma | Comma = yes }} '''2023/2000''', the '''pentagoth comma''', is the interval between a stack of two 20/17 minor thirds and one 7/5 tritone. Tempering out this comma alone in the 2.5.7.17 subgroup leads to the pentagoth temperament. == Etymology == As of June 6, 2026, pentagoth is the name given to t..."
 
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'''2023/2000''', the '''pentagoth comma''', is the interval between a stack of two [[20/17]] minor thirds and one [[7/5]] tritone.
'''2023/2000''', the '''pentagoth comma''', is the interval between a stack of two [[20/17]] minor thirds and one [[7/5]] tritone.


[[Tempering out]] this comma alone in the 2.5.7.17 subgroup leads to the [[pentagoth family|pentagoth]] temperament.
[[Tempering out]] this comma alone in the 2.5.7.17 subgroup leads to the [[pentagoth clan#Pentagoth|pentagoth]] temperament.
== Etymology ==
== Etymology ==
As of June 6, 2026, pentagoth is the name given to the rank-3 temperament 2.5.7.17[2023/2000] by [[groundfault]]. It originally referred to a temperament now called [[vengeance]], which as a 2.5.17 temperament tempers out this comma.
As of June 6, 2026, pentagoth is the name given to the rank-3 temperament 2.5.7.17[2023/2000] by [[groundfault]]. It originally referred to a temperament now called [[vengeance]], which as a 2.5.17 temperament tempers out this comma.


[[Category:Pentagoth]]
[[Category:Pentagoth]]

Revision as of 17:52, 6 June 2026

Interval information
Ratio 2023/2000
Factorization 2-4 × 5-3 × 7 × 172
Monzo [-4 0 -3 1 0 0 2
Size in cents 19.79558¢
Name pentagoth comma
Color name 17oozg33
sosozotrigu 3rd
Sosozotrigu comma
FJS name [math]\displaystyle{ \text{ddd3}^{7,17,17}_{5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 21.9481
Weil norm (log2 max(n, d)) 21.9646
Wilson norm (sopfr(nd)) 64
Comma size small
Open this interval in xen-calc

2023/2000, the pentagoth comma, is the interval between a stack of two 20/17 minor thirds and one 7/5 tritone.

Tempering out this comma alone in the 2.5.7.17 subgroup leads to the pentagoth temperament.

Etymology

As of June 6, 2026, pentagoth is the name given to the rank-3 temperament 2.5.7.17[2023/2000] by groundfault. It originally referred to a temperament now called vengeance, which as a 2.5.17 temperament tempers out this comma.