180/161: Difference between revisions

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Created page with "{{Infobox Interval | Name = inverse-arithmetic meantone }} '''180/161''', the '''inverse-arithmetic meantone''', is a 23-limit ratio measuring about 193 cents. It..."
 
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{{Infobox Interval
{{Infobox Interval
| Name = inverse-arithmetic meantone
| Name = inverse-arithmetic meantone
| Color name = 23ury1, twethuruyo unison
}}
}}


'''180/161''', the '''inverse-arithmetic meantone''', is a [[23-limit]] [[ratio]] measuring about 193 [[cent]]s. It is the [[inverse-arithmetic mean]] of [[9/8]], the Pythagorean whole tone, and [[10/9]], the classical whole tone, hence the name.
'''180/161''', the '''inverse-arithmetic meantone''', is a [[23-limit]] [[ratio]] measuring about 193 [[cent]]s. It is the [[inverse-arithmetic mean]] of [[9/8]], the Pythagorean whole tone, and [[10/9]], the classical whole tone, hence the name.

Latest revision as of 13:16, 7 September 2023

Interval information
Ratio 180/161
Subgroup monzo 2.3.5.7.23 [2 2 1 -1 -1
Size in cents 193.1235¢
Name inverse-arithmetic meantone
Color name 23ury1, twethuruyo unison
FJS name [math]\displaystyle{ \text{M2}^{5}_{7,23} }[/math]
Special properties reduced
Tenney norm (log2 nd) 14.8228
Weil norm (log2 max(n, d)) 14.9837
Wilson norm (sopfr(nd)) 45
Open this interval in xen-calc

180/161, the inverse-arithmetic meantone, is a 23-limit ratio measuring about 193 cents. It is the inverse-arithmetic mean of 9/8, the Pythagorean whole tone, and 10/9, the classical whole tone, hence the name.