Tetracot family: Difference between revisions

Hkm (talk | contribs)
Overthink (talk | contribs)
Weasel: explain extensions; remove non-GPV from optimal ET sequence
 
(One intermediate revision by one other user not shown)
Line 791: Line 791:


=== 13-limit ===
=== 13-limit ===
The canonical mapping finds 13/8 at +15 generators rather than using the regular tetracot mapping, in order to find [[15/13]] as being half of [[4/3]].
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 837: Line 839:
=== Weasly ===
=== Weasly ===
{{Todo|review|unify precision}}
{{Todo|review|unify precision}}
The alternative extension uses the same mapping of 13 as in tetracot, though many other intervals of 13 take more generators to reach as a result.
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 852: Line 856:


==== 17-limit ====
==== 17-limit ====
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13.17


Comma list: 50/49, 85/84, 99/98, 144/143, 243/242
Comma list: 50/49, 85/84, 99/98, 144/143, 243/242
Line 867: Line 871:


==== 19-limit ====
==== 19-limit ====
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13.17.19


Comma list: 50/49, 85/84, 99/98, 144/143, 190/189, 243/242
Comma list: 50/49, 85/84, 99/98, 144/143, 190/189, 243/242
Line 877: Line 881:
* CWE: ~7/5 = 600.000{{c}}, ~10/9 = 175.593{{c}}
* CWE: ~7/5 = 600.000{{c}}, ~10/9 = 175.593{{c}}


{{Optimal ET sequence|legend=0| 14c, 20cdehh, 34dh, 48 }}
{{Optimal ET sequence|legend=0| 14c, 34dh, 48 }}


Badness (Sintel): 1.48
Badness (Sintel): 1.48