1216/1215: Difference between revisions

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'''1216/1215''', the '''password comma''' or '''Eratosthenes' comma''' is a [[19-limit]] unnoticeable comma. It is the difference between [[19/15]] and [[81/64]], [[19/18]] and [[135/128]], or [[20/19]] and [[256/243]].  
'''1216/1215''', the '''password comma''' or '''Eratosthenes' comma''' is a [[19-limit]] (also 2.3.5.19 subgroup) unnoticeable comma. It is the difference between [[19/15]] and [[81/64]], [[19/18]] and [[135/128]], or [[20/19]] and [[256/243]].  


It is tempered out in edos including {{EDOs| 12, 29, 41, 53, 65, 77, 87, 94, 99, 106, 111, 118, 130, 140, 152, 159, 183, 193, 205, 217, 270, 282, 311, 323, 364, 400, 422, 581, and 692}}.  
It is tempered out in edos including {{EDOs| 12, 29, 41, 53, 65, 77, 87, 94, 99, 106, 111, 118, 130, 140, 152, 159, 183, 193, 205, 217, 270, 282, 311, 323, 364, 400, 422, 581, and 692}}.  

Revision as of 10:43, 5 February 2021

Interval information
Ratio 1216/1215
Subgroup monzo 2.3.5.19 [6 -5 -1 1
Size in cents 1.424298¢
Names password comma,
Eratosthenes' comma
FJS name [math]\displaystyle{ \text{d2}^{19}_{5} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 20.4947
Weil norm (log2 max(n, d)) 20.4959
Wilson norm (sopfr(nd)) 51
Open this interval in xen-calc

1216/1215, the password comma or Eratosthenes' comma is a 19-limit (also 2.3.5.19 subgroup) unnoticeable comma. It is the difference between 19/15 and 81/64, 19/18 and 135/128, or 20/19 and 256/243.

It is tempered out in edos including 12, 29, 41, 53, 65, 77, 87, 94, 99, 106, 111, 118, 130, 140, 152, 159, 183, 193, 205, 217, 270, 282, 311, 323, 364, 400, 422, 581, and 692.

See also