293edo: Difference between revisions
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293edo does not approximate prime harmonics well all the way into the 41st, unless 30% errors are considered "well", in which case it equally represents all of them. The first harmonic that it approximates within 1 standard deviation of one step is 43rd, which is 10% flat compared to the just intonated interval. | 293edo does not approximate prime harmonics well all the way into the 41st, unless 30% errors are considered "well", in which case it equally represents all of them. The first harmonic that it approximates within 1 standard deviation of one step is 43rd, which is 10% flat compared to the just intonated interval. | ||
Nonetheless, it is [[consistent]] in the 5-limit, where it tempers out | Nonetheless, it is [[consistent]] in the 5-limit, where it tempers out the [[parakleisma]] and {{monzo| -40 15 7 }}. 293edo also tempers out the [[marvel comma]] on the patent val in the 7-limit. | ||
293bb val, with 170\293 fifth, is an optimal tuning for the meantone temperament. | 293bb val, with 170\293 fifth, is an optimal tuning for the meantone temperament. | ||