1ed33/32: Difference between revisions
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{{todo|merge articles|inline=1|text=Merge into [[33/32]]?}} | |||
{{Infobox ET|1ed33/32}} | {{Infobox ET|1ed33/32}} | ||
'''1 equal division of 33/32''' ('''1ed33/32'''), also known as '''ambitonal sequence of 33/32''' ('''AS33/32''') or '''33/32 equal-step tuning''', is an equal multiplication of [[33/32]] (the Alpharabian quarter-tone), and results in a nonoctave tuning equivalent to 22.5255 EDO. | |||
Lookalikes: 5ed7/6, 45ed4 | Lookalikes: 5ed7/6, 45ed4 | ||
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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. | 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, | In the 5-limit, 1ed33/32 tempers out the syntonic comma 81/80, making it meantone. | ||
In the 7-limit, as a consequence of representing 6/5 and 7/6 well, it's great at representing the 5:6:7 otonal tetrad. This means that 385/384 is tempered out. | In the 7-limit, as a consequence of representing 6/5 and 7/6 well, it's great at representing the 5:6:7 otonal tetrad. This means that 385/384 is tempered out. | ||
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