56/55: Difference between revisions

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'''56/55''' = {{Monzo| 3 0 -1 1 -1 }} is an [[11-limit]] no-threes comma of 31.19425 [[cent|¢]], and is the difference between [[7/5]] and [[11/8]].
{{Infobox Interval
| Icon =
| Ratio = 56/55
| Monzo = 3 0 -1 1 -1
| Cents = 31.19425
| Name = meantone diesis, <br> meantone kleisma
| 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]].


In [[Meantone family#Unidecimal meantone aka Huygens|unidecimal meantone]], it's a [[meantone diesis]]. In [[Meantone family#Meanpop|meanpop]], it's a [[meantone kleisma]].
In [[Meantone family#Unidecimal meantone aka Huygens|unidecimal meantone]], it's a [[meantone diesis]]. In [[meanpop]], it's a [[meantone kleisma]].
 
== See also ==
 
* [[Medium comma]]


[[Category:11-limit]]  
[[Category:11-limit]]  
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[[Category:Small comma]]
[[Category:Small comma]]
[[Category:Medium comma]]
[[Category:Medium comma]]
[[Category:Superparticular]]
[[Category:Todo:expand]]
[[Category:Todo:add color]]

Revision as of 20:03, 14 October 2020

Interval information
Ratio 56/55
Factorization 23 × 5-1 × 7 × 11-1
Monzo [3 0 -1 1 -1
Size in cents 31.19425¢
Names meantone diesis,
meantone kleisma
FJS name [math]\displaystyle{ \text{m2}^{7}_{55} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 11.5887
Weil norm (log2 max(n, d)) 11.6147
Wilson norm (sopfr(nd)) 29
Open this interval in xen-calc

56/55 = [3 0 -1 1 -1 is an 11-limit no-threes comma of about 31.2 ¢, and is the difference between 7/5 and 11/8.

In unidecimal meantone, it's a meantone diesis. In meanpop, it's a meantone kleisma.

See also