Würschmidt comma: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 393216/390625 | | Ratio = 393216/390625 | ||
| Name = | | Name = würschmidt comma | ||
| Color name = sg<sup>8</sup>3, Saquadbigu comma | | Color name = sg<sup>8</sup>3, Saquadbigu comma | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
'''Würschmidt's comma''' ({{monzo| 17 1 -8 }} = '''393216/390625''') is a [[small comma|small]] [[5-limit]] [[comma]] of 11.4 [[cent]]s. It is the difference between an [[octave reduction|octave-reduced]] stack of eight [[5/4|classical major thirds]] and a [[3/2|perfect fifth]]: (5/4)<sup>8</sup>/6, which comes from 5/4 being a convergent in the continued fraction of <math>\sqrt[8]{6}</math>. | |||
In terms of commas, it is the difference between: | In terms of commas, it is the difference between: | ||