56/55: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Name = undecimal tritonic comma, konbini comma
| Ratio = 56/55
| Color name = 1uzg2, luzogu 2nd,<br>Luzogu comma
| Monzo = 3 0 -1 1 -1
| Comma = yes
| Cents = 31.19425
| Name = undecimal tritonic comma, <br> konbini comma
| Color name =  
| FJS name = m2<sup>7</sup><sub>55</sub>
| Sound =  
}}
}}
'''56/55''' = {{Monzo| 3 0 -1 1 -1 }} is an [[11-limit]] no-threes comma of about 31.2 [[cent|&cent;]], and is the difference between [[7/5]] and [[11/8]].
'''56/55''', the '''undecimal tritonic comma''' or '''konbini comma''', is an [[11-limit]] no-threes comma of about 31.2[[cent|&cent;]].  It is the difference between [[7/5]] and [[11/8]], between [[7/4]] and [[55/32]], and between [[5/4]] and [[14/11]]. When used as an interval in its own right, 56/55 acts as a sort of small quartertone.


== See also ==
== See also ==
* [[Medium comma]]
* [[Medium comma]]
* [[List of superparticular intervals]]
* [[List of superparticular intervals]]


[[Category:11-limit]]
[[Category:Commas with unknown etymology]]
[[Category:Interval]]
[[Category:Small comma]]
[[Category:Medium comma]]
[[Category:Superparticular]]
 
[[Category:Todo:expand]]
[[Category:Todo:add color name]]

Latest revision as of 23:27, 22 August 2025

Interval information
Ratio 56/55
Factorization 23 × 5-1 × 7 × 11-1
Monzo [3 0 -1 1 -1
Size in cents 31.19425¢
Names undecimal tritonic comma,
konbini comma
Color name 1uzg2, luzogu 2nd,
Luzogu comma
FJS name [math]\displaystyle{ \text{m2}^{7}_{5,11} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 11.5887
Weil height (log2 max(n, d)) 11.6147
Wilson height (sopfr(nd)) 29
Comma size medium
S-expression S12 × S13 × S14
Open this interval in xen-calc

56/55, the undecimal tritonic comma or konbini comma, is an 11-limit no-threes comma of about 31.2¢. It is the difference between 7/5 and 11/8, between 7/4 and 55/32, and between 5/4 and 14/11. When used as an interval in its own right, 56/55 acts as a sort of small quartertone.

See also