161/144: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Created page with "{{Infobox Interval | Name = arithmetic meantone }} '''161/144''', the '''arithmetic meantone''', is a 23-limit ratio measuring about 193 cents. It is the arithm..."
 
Francium (talk | contribs)
m Added color name
 
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
| Name = arithmetic meantone
| Name = arithmetic meantone
| Color name = 23oz3, twethozo 3rd
}}
}}


'''161/144''', the '''arithmetic meantone''', is a [[23-limit]] [[ratio]] measuring about 193 [[cent]]s. It is the [[arithmetic mean]] of [[9/8]], the Pythagorean whole tone, and [[10/9]], the classical whole tone, hence the name.
'''161/144''', the '''arithmetic meantone''', is a [[23-limit]] [[ratio]] measuring about 193 [[cent]]s. It is the [[arithmetic mean]] of [[9/8]], the Pythagorean whole tone, and [[10/9]], the classical whole tone, hence the name.

Latest revision as of 13:07, 7 September 2023

Interval information
Ratio 161/144
Subgroup monzo 2.3.7.23 [-4 -2 1 1
Size in cents 193.1903¢
Name arithmetic meantone
Color name 23oz3, twethozo 3rd
FJS name [math]\displaystyle{ \text{M2}^{7,23} }[/math]
Special properties reduced
Tenney norm (log2 nd) 14.5008
Weil norm (log2 max(n, d)) 14.6618
Wilson norm (sopfr(nd)) 44
Open this interval in xen-calc

161/144, the arithmetic meantone, is a 23-limit ratio measuring about 193 cents. It is the arithmetic mean of 9/8, the Pythagorean whole tone, and 10/9, the classical whole tone, hence the name.