3136/3125

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Revision as of 17:24, 10 October 2020 by FloraC (talk | contribs) (Maybe this wording looks better)
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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 (septimal semicomma), and 225/224 (septimal kleisma). 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