513edo: Difference between revisions
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'''513EDO''' is the [[EDO|equal division of the octave]] into 513 parts of 2.33918 [[cent]]s each (dividing the steps of [[171edo|171EDO]] into three). It is consistent to the 11-limit, tempering out 4000/3993, 12005/11979, and 46656/46585 using the patent val. Using the alternative 513e val, 35937/35840, 42592/42525, and 166375/165888 are tempered out in the 11-limit. | '''513EDO''' is the [[EDO|equal division of the octave]] into 513 parts of 2.33918 [[cent]]s each (dividing the steps of [[171edo|171EDO]] into three). It is consistent to the 11-limit, tempering out 4000/3993, 12005/11979, and 46656/46585 using the patent val. Using the alternative 513e val, 35937/35840, 42592/42525, and 166375/165888 are tempered out in the 11-limit. | ||
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | [[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | ||
Revision as of 05:43, 9 July 2023
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This page presents a novelty topic.
It may contain ideas which are less likely to find practical applications in music, or numbers or structures that are arbitrary or exceedingly small, large, or complex. Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks. |
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513EDO is the equal division of the octave into 513 parts of 2.33918 cents each (dividing the steps of 171EDO into three). It is consistent to the 11-limit, tempering out 4000/3993, 12005/11979, and 46656/46585 using the patent val. Using the alternative 513e val, 35937/35840, 42592/42525, and 166375/165888 are tempered out in the 11-limit.