Miracle extensions: Difference between revisions

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 === Target tunings ===
-* 5-odd-limit least squares: ~16/15 = 116.578{{c}} (eigenmonzo: {{monzo| 0 -19 20 }})
+{| class="wikitable mw-collapsible mw-collapsed"
-* 7-odd-limit least squares: ~15/14 = 116.573{{c}} (eigenmonzo: {{monzo| 0 -27 25 5 }})
+|+ style="white-space: nowrap;" | Least squares tunings (miracle)
-* 9-odd-limit least squares: ~15/14 = 116.721{{c}} (eigenmonzo: {{monzo| 0 117 -44 -19 }})
+|-
-* 11-odd-limit least squares
+! Target
-** Miracle: ~15/14 = 116.672{{c}} (eigenmonzo: {{monzo| 0 17 -11 -6 11 }})
+! Generator
-** Revelation: ~15/14 = 116.198{{c}} (eigenmonzo: {{monzo| 0 -195 35 5 89 }})
+! Eigenmonzo
-* 13-odd-limit least squares
+|-
-** Miraculous: ~15/14 = 116.846{{c}} (eigenmonzo: {{monzo| 0 141 -70 -35 84 -42 }})
+| 5-odd-limit
-** Benediction: ~15/14 = 116.56309{{c}} (eigenmonzo: {{monzo| 0 -234 39 4 -115 228 }})
+| ~16/15 = 116.578{{c}}
-** Manna: ~15/14 = 116.780{{c}} (eigenmonzo: {{monzo| 0 18 -111 -76 43 204 }})
+| {{Monzo| 0 -19 20 }}
-** Revelation: ~15/14 = 116.249{{c}} (eigenmonzo: {{monzo| 0 -234 39 4 102 11 }})
+|-
-* 15-odd-limit least squares
+| 7-odd-limit
-** Miraculous: ~15/14 = 116.820{{c}} (eigenmonzo: {{monzo| 0 127 -84 -36 100 -44 }})
+| ~15/14 = 116.573{{c}}
-** Benediction: ~15/14 = 116.56348{{c}} (eigenmonzo: {{monzo| 0 -251 22 5 -131 261 }})
+| {{Monzo| 0 -27 25 5 }}
-** Manna: ~15/14 = 116.764{{c}} (eigenmonzo: {{monzo| 0 -37 -166 -77 59 243 }})
+|-
-** Revelation: ~15/14 = 116.229{{c}} (eigenmonzo: {{monzo| 0 -251 22 5 117 13 }})
+| 9-odd-limit
+| ~15/14 = 116.721{{c}}
+| {{Monzo| 0 117 -44 -19 }}
+|-
+| 11-odd-limit
+| ~15/14 = 116.672{{c}}
+| {{Monzo| 0 17 -11 -6 11 }}
+|}
+{| class="wikitable mw-collapsible mw-collapsed"
+|+ style="white-space: nowrap;" | Least squares tunings (miraculous)
+|-
+! Target
+! Generator
+! Eigenmonzo
+|-
+| 13-odd-limit
+| ~15/14 = 116.846{{c}}
+| {{Monzo| 0 141 -70 -35 84 -42 }}
+|-
+| 15-odd-limit
+| ~15/14 = 116.820{{c}}
+| {{Monzo| 0 127 -84 -36 100 -44 }}
+|}
+{| class="wikitable mw-collapsible mw-collapsed"
+|+ style="white-space: nowrap;" | Least squares tunings (benediction)
+|-
+! Target
+! Generator
+! Eigenmonzo
+|-
+| 13-odd-limit
+| ~15/14 = 116.56309{{c}}
+| {{Monzo| 0 -234 39 4 -115 228 }}
+|-
+| 15-odd-limit
+| ~15/14 = 116.56348{{c}}
+| {{Monzo| 0 -251 22 5 -131 261 }}
+|}
+{| class="wikitable mw-collapsible mw-collapsed"
+|+ style="white-space: nowrap;" | Least squares tunings (manna)
+|-
+! Target
+! Generator
+! Eigenmonzo
+|-
+| 13-odd-limit
+| ~15/14 = 116.780{{c}}
+| {{Monzo| 0 18 -111 -76 43 204 }}
+|-
+| 15-odd-limit
+| ~15/14 = 116.764{{c}}
+| {{Monzo| 0 -37 -166 -77 59 243 }}
+|}
+{| class="wikitable mw-collapsible mw-collapsed"
+|+ style="white-space: nowrap;" | Least squares tunings (revelation)
+|-
+! Target
+! Generator
+! Eigenmonzo
+|-
+| 11-odd-limit
+| ~15/14 = 116.198{{c}}
+| {{Monzo| 0 -195 35 5 89 }}
+|-
+| 13-odd-limit
+| ~15/14 = 116.249{{c}}
+| {{Monzo| 0 -234 39 4 102 11 }}
+|-
+| 15-odd-limit
+| ~15/14 = 116.229{{c}}
+| {{Monzo| 0 -251 22 5 117 13 }}
+|}
 === Tuning spectra ===