1350/1331: Difference between revisions

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'''1350/1331''', the '''large tetracot diesis''', is a [[medium comma|medium]] [[11-limit]] [[comma]] measuring about 24.54 [[cent]]s. It tempered out in [[tetracot]] temperaments as ([[243/242]])([[100/99]]) and is the difference between a stack of three [[22/15]]'s and a classic minor sixth ([[8/5]]), octave-reduced).
'''1350/1331''', the '''large tetracot diesis''', is a [[medium comma|medium]] [[11-limit]] [[comma]] measuring about 24.54 [[cent]]s. It is tempered out in [[tetracot]] temperaments as ([[243/242]])([[100/99]]) and is also the difference between a stack of three [[22/15]]'s and a classic minor sixth ([[8/5]]), octave-reduced.
 
[[Category:Commas named after their interval size]]
[[Category:Tetracot]]

Latest revision as of 04:01, 14 April 2025

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Interval information
Ratio 1350/1331
Factorization 2 × 33 × 52 × 11-3
Monzo [1 3 2 0 -3
Size in cents 24.5386¢
Name large tetracot diesis
Color name trilu-ayoyo unison, 1u3yy1
FJS name [math]\displaystyle{ \text{AA1}^{5,5}_{11,11,11} }[/math]
Special properties reduced
Tenney height (log2 nd) 20.777
Weil height (log2 max(n, d)) 20.7975
Wilson height (sopfr(nd)) 54
Comma size small
Open this interval in xen-calc

1350/1331, the large tetracot diesis, is a medium 11-limit comma measuring about 24.54 cents. It is tempered out in tetracot temperaments as (243/242)(100/99) and is also the difference between a stack of three 22/15's and a classic minor sixth (8/5), octave-reduced.