33/32: Difference between revisions

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 == Temperaments ==
 If treated as a comma to be tempered out in the 2.3.11 [[subgroup]], it results in the [[no-fives subgroup temperaments #Io|io]] temperament, giving rise to the name '''io comma'''. The temperament is generated by a flat fifth ([[7edo]] and [[26edo]] being good tunings) which represents both [[3/2]] and [[16/11]].
+== Interval chain ==
+Intervals with excellent approximation in this interval chain 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.
+{| class="wikitable"
+|+ [[Interval chain]] generated by 33/32
+! #
+! [[Cent]]s
+! Approximated [[ratio]]s
+! Associated [[comma]]s
+|-
+| 1
+| 53.3
+| [[36/35]] (-4.5{{c}})<br>33/32
+| [[385/384]] (keenanisma)<br>&mdash;
+|-
+| 2
+| 106.5
+| [[1089/1024]]<br>[[16/15]] (+5.2{{c}})
+| &mdash;<br>[[16384/16335]] (semiporwellisma)
+|-
+| 3
+| 159.8
+| [[12/11]] (-9.2{{c}})<br>[[35/32]] (-4.7{{c}})<br>[[11/10]] (+5.2{{c}})
+| [[Alpharabian comma]]<br>[[35937/35840]]<br>[[16384/16335]] (semiporwellisma)
+|-
+| 4
+| 213.1
+| [[9/8]] (-9.2{{c}})<br>[[25/22]] (+8.2{{c}})
+| [[Alpharabian comma]]<br>[[13107200/13045131]]
+|-
+| 5
+| 266.4
+| [[7/6]] (-0.5{{c}})
+| [[Quartisma]]
+|-
+| ...
+|
+|
+|
+|-
+| 14
+| 745.8
+| [[20/13]] (+0.04{{c}})
+|
+|-
+| 15
+| 799.1
+| ...
+|
+|-
+| 16
+| 852.4
+| [[18/11]] (-0.2{{c}})
+|
+|}
+{{todo|complete table|inline=1}}
 == Approximation ==