299/289: Difference between revisions

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new comma related to 11th harmonic
 
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m small fix
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'''299/289''' is a quartertone measuring roughly  58.891 [[cent]]s.
'''299/289''' is a quartertone measuring roughly  58.891 [[cent]]s.


It is the first comma with composite numerator appearing after removing all harmonics prior to 11. Tempers rank-4 temperament in subgroup 11.13.17.19.23.
It is the first comma with composite numerator appearing after removing all harmonics prior to 11, that has smallest difference between numerator and denominator, ie. 10 . Tempers rank-4 temperament in subgroup 11.13.17.19.23.

Revision as of 21:09, 23 November 2024

Interval information
Ratio 299/289
Subgroup monzo 13.17.23 [1 -2 1
Size in cents 58.89119¢
Name unidecimisma
Color name 23o17uu3o1, twethosusutho unison
FJS name [math]\displaystyle{ \text{d}{-2}^{13,23}_{17,17} }[/math]
Special properties reduced
Tenney norm (log2 nd) 16.3989
Weil norm (log2 max(n, d)) 16.448
Wilson norm (sopfr(nd)) 70
Comma size medium
Open this interval in xen-calc

299/289 is a quartertone measuring roughly 58.891 cents.

It is the first comma with composite numerator appearing after removing all harmonics prior to 11, that has smallest difference between numerator and denominator, ie. 10 . Tempers rank-4 temperament in subgroup 11.13.17.19.23.