176/175

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Revision as of 06:37, 26 October 2020 by FloraC (talk | contribs) (Expansion)
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Interval information
Ratio 176/175
Factorization 24 × 5-2 × 7-1 × 11
Monzo [4 0 -2 -1 1
Size in cents 9.864608¢
Name Valinorsma
FJS name [math]\displaystyle{ \text{d1}^{11}_{25,7} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 14.9106
Weil norm (log2 max(n, d)) 14.9189
Wilson norm (sopfr(nd)) 36
Open this interval in xen-calc

176/175, the valinorsma, is a 11-limit small comma measuring about 9.9 cents. It is amount by which 11/7 exceeds two 5/4's stacked, that is, the difference between 11/7 and 25/16 or between 14/11 and 32/25. It is also the difference between 15/11 and 48/35 or between 22/15 and 35/24. Tempering it out leads to the rank-4 valinorsmic temperament.

176/175 factors neatly into two 13-limit superparticular commas: 352/351 × 351/350.

See also