Augene: Difference between revisions

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 The first few augene [[mos scale]]s are [[3L 3s]], [[3L 6s]], [[3L 9s]], [[12L 3s]], … and the first edos that reasonably support augene are [[12edo]], [[15edo]], and especially [[27edo]].
-== 11-limit interval chain ==
+== Interval chain ==
-{| class="wikitable center-1 right-all"
+In the following table, odd harmonics 1–11 are in '''bold'''.
-|+Generator based off of 11-limit minimax
-! Gen.
+{| class="wikitable center-1 right-2 right-4 right-6"
-! Period 0
+! rowspan="2" | #
-! Period 1
+! colspan="2" | Period 0
-! Period 2
+! colspan="2" | Period 1
+! colspan="2" | Period 2
+|-
+! Cents*
+! Approx. Ratios
+! Cents*
+! Approx. Ratios
+! Cents*
+! Approx. Ratios
 |-
 | 0
-| 0.000
+| 0.0
-| 400.000
+| 1/1
-| 800.000
+| 400.0
+| '''5/4''', 14/11
+| 800.0
+| '''8/5''', 11/7
 |-
 | 1
-| 1113.148
+| 1113.1
-| 313.148
+| 15/8, 40/21
-| 713.148
+| 313.1
+| 6/5
+| 713.1
+| '''3/2'''
 |-
 | 2
-| 1026.296
+| 1026.3
-| 226.296
+| 9/5, 20/11
-| 626.296
+| 226.3
+| '''8/7''', '''9/8'''
+| 626.3
+| 10/7, '''16/11'''
 |-
 | 3
-| 939.444
+| 939.4
-| 139.444
+| 12/7
-| 539.444
+| 139.4
+| 12/11, 15/14
+| 539.4
+| 15/11
 |-
 | 4
-| 852.592
+| 852.6
-| 52.592
+| 18/11
-| 452.592
+| 52.6
+| 45/44
+| 452.6
+| 9/7
 |-
 | 5
-| 765.740
+| 765.7
-| 1165.740
+| 54/35
-| 365.740
+| 1165.7
+| 27/14, 96/49
+| 365.7
+| 27/22
 |}
+<nowiki>*</nowiki> in 11-odd-limit minimax tuning
 == Tuning spectrum ==