1ed33/32: Difference between revisions

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Created page with "The '''equal multiplication of 33/32''', the Alpharabian quarter-tone, results in an interesting nonoctave tuning, equivalent to 22.5255 EDO. Lookalikes: 5ed7/6, 45ed4 =..."
 
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== Theory ==
== Theory ==
{{Harmonics in equal|1|33|32|columns=11}}
{{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]], and 5 steps are approximately equal to [[7/6]], thus tempering out the [[quartisma]] if this equivalence is assumed.
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.