2016edo: Difference between revisions
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=== Subsets and supersets === | === Subsets and supersets === | ||
2016 is a significantly composite number, with its subset edos being {{EDOs| 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008 }}. Its abundancy index is 2.25. Some of its divisors have found applied use. 72edo has been used in [[Wikipedia:Byzantine music|Byzantine chanting]], has been theoreticized by [[Wikipedia:Alois Hába|Alois Haba]] and used by [[Ivan Wyschnegradsky]] | 2016 is a significantly composite number, with its subset edos being {{EDOs| 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008 }}. Its abundancy index is 2.25. Some of its divisors have found applied use. 72edo has been used in [[Wikipedia:Byzantine music|Byzantine chanting]], has been theoreticized by [[Wikipedia:Alois Hába|Alois Haba]] and used by [[Ivan Wyschnegradsky]] and jazz musician [[Joe Maneri]]. 96edo has been used by [[Julian Carrillo]], and 224edo is a member of [[The Riemann zeta function and tuning|zeta]] edos. | ||
2016 is a divisor of some [[highly composite edo]]s, such as [[10080edo]], [[20160edo]], etc. As a subset of 20160edo, one step of 2016edo is exactly 10 pians (10\20160). | 2016 is a divisor of some [[highly composite edo]]s, such as [[10080edo]], [[20160edo]], etc. As a subset of 20160edo, one step of 2016edo is exactly 10 pians (10\20160). | ||