1728/1715: Difference between revisions

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[[Category:7-limit]]
[[Category:7-limit]]
[[Category:Small comma]]
[[Category:Small commas]]
[[Category:Orwellismic]]
[[Category:Orwellismic]]

Revision as of 21:59, 20 March 2022

Interval information
Ratio 1728/1715
Factorization 26 × 33 × 5-1 × 7-3
Monzo [6 3 -1 -3
Size in cents 13.07357¢
Name orwellisma
FJS name [math]\displaystyle{ \text{m}{-2}_{5,7,7,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 21.4989
Weil norm (log2 max(n, d)) 21.5098
Wilson norm (sopfr(nd)) 47
Open this interval in xen-calc

1728/1715, the orwellisma, is a 7-limit comma measuring about 13.1 cents and is equal to (8/5)/(7/6)3 and thus often makes sense to temper in any temperament where the generator (or a multiple thereof) is a slightly sharpened 7/6, such as in orwell. Tempering this comma leads to temperaments in the orwellismic family.

See also