2544edo: Difference between revisions
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2544edo is consistent in the [[15-odd-limit]] and is a satisfactory 2.3.5.7.11.13.23 subgroup (add-23 13-limit) system in addition to that. | 2544edo is consistent in the [[15-odd-limit]] and is a satisfactory 2.3.5.7.11.13.23 subgroup (add-23 13-limit) system in addition to that. | ||
Being a strong higher-limit system with many notable divisors, it tempers out the [[Mercator comma]], as well as the [[landscape comma]], supporting the 7-limit [[aemilic]] | Being a strong higher-limit system with many notable divisors, it tempers out the [[Mercator comma]], as well as the [[landscape comma]], supporting the 7-limit {{nowrap|159 & 954}} temperament known as [[aemilic]]. It also suppors the [[48th-octave temperaments|70/69-48-commatic]] temperament, dividing the octave into 48 parts and using [[70/69]] as a chroma. | ||
=== Prime harmonics === | === Prime harmonics === | ||
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=== Subsets and supersets === | === Subsets and supersets === | ||
Since 2544edo factors as {{Factorization|2544}}, it has subset edos {{EDOs|1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 53, 106, 159, 212, 318, 424, 636, 848, 1272}}. | Since 2544edo factors as {{Factorization|2544}}, it has subset edos {{EDOs|1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 53, 106, 159, 212, 318, 424, 636, 848, 1272}}. | ||