https://en.xen.wiki/index.php?action=history&feed=atom&title=User%3AArseniiv%2F87361087225151244798433165312%2F87358208333602232254939453125User:Arseniiv/87361087225151244798433165312/87358208333602232254939453125 - Revision history2026-07-15T04:45:30ZRevision history for this page on the wikiMediaWiki 1.43.6https://en.xen.wiki/index.php?title=User:Arseniiv/87361087225151244798433165312/87358208333602232254939453125&diff=176729&oldid=prevArseniiv: I think we should remember this2025-01-17T14:38:13Z<p>I think we should remember this</p>
<p><b>New page</b></p><div>'''87361087225151244798433165312/87358208333602232254939453125''' = {{Monzo|24 -32 -9 3 0 0 -6 15}} is a [[19-limit]] [[unnoticeable comma]] of about 0.06 [[cent]]s found algorithmically by [[User:Arseniiv]] while testing his script for subdividing scales into rational steps given a pattern.<br />
<br />
In this case, the pattern was LMLMsLMLMsLMLsM, fitting to a period of [[3/1]], resulting in an SV3 scale with step sizes of L = [[85/76]] ~ 193.8 ¢, M = [[81/76]] ~ 110.3 ¢, s = [[135/133]] ~ 25.8 ¢. Among weirdness, the scale also contains a good approximation of [[4/3]] flat by 0.2 ¢, LML = [[585225/438976]].<br />
<br />
The scale SCL data for completeness (converted to cents to avoid potential software problems due to huge fractions:<br />
<br />
<pre><br />
! SV3 LMLMsLMLMsLMLsM steps 85_76 81_76 135_133.scl<br />
SV3 LMLMsLMLMsLMLsM steps 85/76, 81/76, 135/133<br />
15<br />
!<br />
193.756107232940025<br />
304.063094562186961<br />
497.819201795129004<br />
608.126189124375060<br />
633.965982983943036<br />
827.722090216885931<br />
938.029077546134090<br />
1131.785184779073006<br />
1242.092172108316845<br />
1267.931965967886981<br />
1461.688073200823965<br />
1571.995060530078945<br />
1765.751167763020021<br />
1791.590961622586974<br />
3/1<br />
</pre></div>Arseniiv