273/272: Difference between revisions

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m Normalising usage of Infobox Interval
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{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 273/272
| Monzo = -4 1 0 1 0 1 -1
| Cents = 6.35316
| Name = tannisma
| Name = tannisma
| Color name = Suthozo
| Color name = Suthozo
| FJS name =
| Comma = yes
| Sound =  
}}
}}


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== References ==
== References ==
<references/>
<references/>
[[Category:17-limit]]
[[Category:Small commas]]
[[Category:Superparticular]]

Revision as of 14:43, 25 October 2022

Interval information
Ratio 273/272
Factorization 2-4 × 3 × 7 × 13 × 17-1
Monzo [-4 1 0 1 0 1 -1
Size in cents 6.35316¢
Name tannisma
Color name Suthozo
FJS name [math]\displaystyle{ \text{P1}^{7,13}_{17} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 16.1802
Weil height (log2 max(n, d)) 16.1855
Wilson height (sopfr(nd)) 48
Comma size small
Open this interval in xen-calc

273/272, the tannisma, is a small 17-limit comma with a value of roughly 6.35 cents. It forms the difference between 21/17 and 16/13, and the difference between 39/32 and 17/14, as well as the difference between 17/13 and 21/16. Equating these three sets of intervals is characteristic of tannismic temperaments, however, that's not all, as according to Scott Dakota, such temperaments are actually of similar overall utility to those that temper out the marvel comma[1], and lead to a type of essentially tempered chord called the tannic chord.

References