3136/3125: Difference between revisions

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Created page with "{{Infobox Interval | Icon = | Ratio = 3136/3125 | Monzo = 6 0 -5 2 | Cents = 6.0832 | Name = hemimean comma | Color name = | FJS name = | Sound = }} '''3136/3125''', the '..."
 
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'''3136/3125''', the '''hemimean comma''', is a [[7-limit]] [[comma]] measuring about 6.1 cents. It is the difference between [[126/125]] and [[225/224]]. Tempering it out splits [[81/80]] into two equal parts, each representing 126/125~225/224, and also splits [[5/4]] into two equal parts, each representing [[28/25]].  
'''3136/3125''', the '''hemimean comma''', is a [[7-limit]] [[comma]] measuring about 6.1 cents. It is the difference between [[126/125]] and [[225/224]]. Tempering it out splits the [[81/80|syntonic comma]] into two equal parts, each representing 126/125~225/224, and also splits the [[5/4|classic major third]] into two equal parts, each representing [[28/25]].  


== See also ==
== See also ==

Revision as of 09:43, 9 October 2020

Interval information
Ratio 3136/3125
Factorization 26 × 5-5 × 72
Monzo [6 0 -5 2
Size in cents 6.083244¢
Name hemimean comma
FJS name [math]\displaystyle{ \text{ddd3}^{7,7}_{5,5,5,5,5} }[/math]
Special properties reduced
Tenney height (log2 nd) 23.2244
Weil height (log2 max(n, d)) 23.2294
Wilson height (sopfr(nd)) 51
Open this interval in xen-calc

3136/3125, the hemimean comma, is a 7-limit comma measuring about 6.1 cents. It is the difference between 126/125 and 225/224. Tempering it out splits the syntonic comma into two equal parts, each representing 126/125~225/224, and also splits the classic major third into two equal parts, each representing 28/25.

See also