Diaschismic rank three family: Difference between revisions

Cmloegcmluin (talk | contribs)
unchanged interval → unchanged-interval
Cmloegcmluin (talk | contribs)
"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence
Line 12: Line 12:
[[POTE generator]]s: ~3/2 = 704.8982, ~7/4 = 972.1330
[[POTE generator]]s: ~3/2 = 704.8982, ~7/4 = 972.1330


{{Val list|legend=1| 10, 12, 22, 34d, 46, 58, 68, 80, 126, 206cd, 332bccd }}
{{Optimal ET sequence|legend=1| 10, 12, 22, 34d, 46, 58, 68, 80, 126, 206cd, 332bccd }}


[[Badness]]: 0.442 × 10<sup>-3</sup>
[[Badness]]: 0.442 × 10<sup>-3</sup>
Line 34: Line 34:
: [[Eigenmonzo]]s (unchanged-intervals): 2, 12/11, 10/9
: [[Eigenmonzo]]s (unchanged-intervals): 2, 12/11, 10/9


{{Val list|legend=1| 12, 22, 34d, 46, 58, 68, 80, 126, 184c, 206cd, 264bccde }}
{{Optimal ET sequence|legend=1| 12, 22, 34d, 46, 58, 68, 80, 126, 184c, 206cd, 264bccde }}


[[Badness]]: 0.728 × 10<sup>-3</sup>
[[Badness]]: 0.728 × 10<sup>-3</sup>
Line 51: Line 51:
Mapping: [{{val| 2 0 11 0 14 24 }}, {{val| 0 1 -2 0 -4 -7 }}, {{val| 0 0 0 1 1 1 }}]
Mapping: [{{val| 2 0 11 0 14 24 }}, {{val| 0 1 -2 0 -4 -7 }}, {{val| 0 0 0 1 1 1 }}]


Vals: {{Val list| 12f, 22, 34d, 46, 58, 80, 138cde, 242cde, 322bcde }}
{{Optimal ET sequence|legend=1| 12f, 22, 34d, 46, 58, 80, 138cde, 242cde, 322bcde }}


Badness: 0.970 × 10<sup>-3</sup>
Badness: 0.970 × 10<sup>-3</sup>
Line 62: Line 62:
Mapping: [{{val| 2 0 11 0 14 24 5}}, {{val| 0 1 -2 0 -4 -7 1}}, {{val| 0 0 0 1 1 1 0}}]
Mapping: [{{val| 2 0 11 0 14 24 5}}, {{val| 0 1 -2 0 -4 -7 1}}, {{val| 0 0 0 1 1 1 0}}]


Vals: {{Val list| 12f, 22, 34d, 46, 58, 80, 126, 138cde }}
{{Optimal ET sequence|legend=1| 12f, 22, 34d, 46, 58, 80, 126, 138cde }}


=== Julius ===
=== Julius ===
Line 71: Line 71:
Mapping: [{{val| 2 0 11 0 14 -18 }}, {{val| 0 1 -2 0 -4 8 }}, {{val| 0 0 0 1 1 0 }}]
Mapping: [{{val| 2 0 11 0 14 -18 }}, {{val| 0 1 -2 0 -4 8 }}, {{val| 0 0 0 1 1 0 }}]


Vals: {{Val list| 12, 22f, 34d, 46, 68, 80, 148d, 228bcd }}
{{Optimal ET sequence|legend=1| 12, 22f, 34d, 46, 68, 80, 148d, 228bcd }}


Badness: 1.78 × 10<sup>-3</sup>
Badness: 1.78 × 10<sup>-3</sup>
Line 82: Line 82:
Mapping: [{{val| 2 0 11 0 14 -18 5}}, {{val| 0 1 -2 0 -4 8 1}}, {{val| 0 0 0 1 1 0 0}}]
Mapping: [{{val| 2 0 11 0 14 -18 5}}, {{val| 0 1 -2 0 -4 8 1}}, {{val| 0 0 0 1 1 0 0}}]


Vals: {{Val list| 12, 22f, 34d, 46, 68, 80, 148d, 228bcd }}
{{Optimal ET sequence|legend=1| 12, 22f, 34d, 46, 68, 80, 148d, 228bcd }}


===== 19-limit =====
===== 19-limit =====
Line 91: Line 91:
Mapping: [{{val| 2 0 11 0 14 -18 5 -13}}, {{val| 0 1 -2 0 -4 8 1 5}}, {{val| 0 0 0 1 1 0 0 1}}]
Mapping: [{{val| 2 0 11 0 14 -18 5 -13}}, {{val| 0 1 -2 0 -4 8 1 5}}, {{val| 0 0 0 1 1 0 0 1}}]


Vals: {{Val list| 12, 22fh, 34dh, 46, 68, 80, 148d, 228bcd }}
{{Optimal ET sequence|legend=1| 12, 22fh, 34dh, 46, 68, 80, 148d, 228bcd }}


== Augustus ==
== Augustus ==
Line 105: Line 105:
: [[Eigenmonzo]]s (unchanged-intervals): 2, 10/9, 14/11
: [[Eigenmonzo]]s (unchanged-intervals): 2, 10/9, 14/11


{{Val list|legend=1| 10, 12e, 22, 46, 68, 114, 170b }}
{{Optimal ET sequence|legend=1| 10, 12e, 22, 46, 68, 114, 170b }}


[[Badness]]: 1.58 × 10<sup>-3</sup>
[[Badness]]: 1.58 × 10<sup>-3</sup>
Line 121: Line 121:
: [[Eigenmonzo]]s (unchanged-intervals): 2, 9/5, 7
: [[Eigenmonzo]]s (unchanged-intervals): 2, 9/5, 7


{{Val list|legend=1| 46, 58, 104c, 160, 162ce, 172ce, 218ce }}
{{Optimal ET sequence|legend=1| 46, 58, 104c, 160, 162ce, 172ce, 218ce }}


[[Badness]]: 1.71 × 10<sup>-3</sup>
[[Badness]]: 1.71 × 10<sup>-3</sup>
Line 137: Line 137:
: [[Eigenmonzo]]s (unchanged-intervals): 2, 7/5, 11/5
: [[Eigenmonzo]]s (unchanged-intervals): 2, 7/5, 11/5


{{Val list|legend=1| 22, 46e, 48c, 58, 80, 138cde, 218cde, 286bcddeee, 366bccdddeee }}
{{Optimal ET sequence|legend=1| 22, 46e, 48c, 58, 80, 138cde, 218cde, 286bcddeee, 366bccdddeee }}


[[Badness]]: 1.97 × 10<sup>-3</sup>
[[Badness]]: 1.97 × 10<sup>-3</sup>