6144/6125: Difference between revisions

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'''6144/6125''', the '''porwell comma''', is a [[7-limit]] [[small comma]] measuring about 5.4 cents. It is the amount by which a stack of two [[35/32]]s falls short of [[6/5]]. Tempering out this comma leads to the [[porwell family]] of temperaments.  
'''6144/6125''', the '''porwell comma''', is a [[7-limit]] [[small comma]] measuring about 5.4 cents. It is the amount by which a stack of two [[35/32]]'s falls short of [[6/5]], and the amount by which a stack of two [[48/35]]'s exceeds [[15/8]].  
 
== Temperaments ==
Tempering out this comma leads to the [[porwell family]] of temperaments.  


== See also ==
== See also ==
* [[Porwell family]]
* [[Porwell family]], the rank-3 family where it is tempered out
* [[Porwell temperaments]]
* [[Porwell temperaments]], a collection of rank-2 temperaments where it is tempered out
* [[Small comma]]
* [[Small comma]]



Revision as of 23:06, 22 December 2021

Interval information
Ratio 6144/6125
Factorization 211 × 3 × 5-3 × 7-2
Monzo [11 1 -3 -2
Size in cents 5.362046¢
Name porwell comma
Color name srrg31,
sarurutrigu unison
FJS name [math]\displaystyle{ \text{d1}_{5,5,5,7,7} }[/math]
Special properties reduced
Tenney height (log2 nd) 25.1655
Weil height (log2 max(n, d)) 25.1699
Wilson height (sopfr(nd)) 54
Open this interval in xen-calc

6144/6125, the porwell comma, is a 7-limit small comma measuring about 5.4 cents. It is the amount by which a stack of two 35/32's falls short of 6/5, and the amount by which a stack of two 48/35's exceeds 15/8.

Temperaments

Tempering out this comma leads to the porwell family of temperaments.

See also