Cloudy comma: Difference between revisions

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'''16807/16384''', the '''cloudy comma''', is a 7-limit medium comma. It is the amount by which five [[8/7]]s fall short of one octave and exceeds [[128/125]] by [[2100875/2097152]].
'''16807/16384''', the '''cloudy comma''', is a 7-limit medium comma. It is the amount by which five [[8/7]]s fall short of one octave and exceeds [[128/125]] by [[2100875/2097152]]. For equal divisions ''N'' up to 65, the comma is tempered out if and only if 5 divides ''N''. Examples are [[5edo]], [[10edo]], [[15edo]], [[50edo]], [[55edo]] and [[65edo]].
 


[[Category:7-limit]]
[[Category:7-limit]]
[[Category:Medium comma]]
[[Category:Medium comma]]
[[Category:Interval ratio]]
[[Category:Interval ratio]]

Revision as of 08:14, 3 April 2021

Interval information
Ratio 16807/16384
Factorization 2-14 × 75
Monzo [-14 0 0 5
Size in cents 44.12953¢
Name cloudy comma
FJS name [math]\displaystyle{ \text{d3}^{7,7,7,7,7} }[/math]
Special properties reduced,
reduced harmonic
Tenney norm (log2 nd) 28.0368
Weil norm (log2 max(n, d)) 28.0735
Wilson norm (sopfr(nd)) 63
Open this interval in xen-calc

16807/16384, the cloudy comma, is a 7-limit medium comma. It is the amount by which five 8/7s fall short of one octave and exceeds 128/125 by 2100875/2097152. For equal divisions N up to 65, the comma is tempered out if and only if 5 divides N. Examples are 5edo, 10edo, 15edo, 50edo, 55edo and 65edo.