1ed33/32: Difference between revisions

@@ Line 5: / Line 5: @@
 == Theory ==
 {{Harmonics in equal|1|33|32|columns=11|intervals=prime}}
-In this tuning, 2 steps correspond to the parapotome [[1089/1024]], and 5 steps are approximately equal to [[7/6]], thus tempering out the [[quartisma]] if this equivalence is assumed.
+In this tuning, 2 steps correspond to the parapotome [[1089/1024]],
-Intervals with excellent approximation in this tuning are: 7/6, 18/11, 20/13. Other intervals with good approximation  are: 6/5, 7/5, 9/5, 13/7, 13/9, 11/10, 19/12, 17/16, 17/15, 16/15.
+Intervals with excellent approximation in this tuning are: 7/6 (5), 20/13 (14), 18/11 (16). Other intervals with good approximation  are: 6/5, 7/5, 9/5, 13/7, 13/9, 11/10, 19/12, 17/16, 17/15, 16/15.
+In the 5-limit, 33/32 equal step tuning tempers out the syntonic comma 81/80.
+== Regular temperament comma lists ==
+"Normal" subgroups calculated using the 23edo val that matches 33/32 equal step tuning patent val.
+{| class="wikitable"
+|+
+!Subgroup
+!Comma list
+!Mapping
+|-
+|2.3.5
+|81/80, 15625/12288
+|23 36 52
+|-
+|2.3.5.7
+|35/32, 175/162, 625/588
+|23 36 52 63
+|-
+|33/32.7/6
+|[[117440512/117406179]]
+|1 5
+|}