29-limit: Difference between revisions
Jump to navigation
Jump to search
mNo edit summary |
No edit summary |
||
| Line 1: | Line 1: | ||
'''29-limit''' is the 10th [[prime limit]] and is thus a superset of the [[23-limit]] and a subset of the [[31-limit]]. The prime 29 is notable as being the prime that ends a record prime gap starting at 23. Thus, the 29-limit is in some sense analogous to the [[11-limit]] as both include the prime ending a record prime gap. | '''29-limit''' is the 10th [[prime limit]] and is thus a superset of the [[23-limit]] and a subset of the [[31-limit]]. The prime 29 is notable as being the prime that ends a record prime gap starting at 23. Thus, the 29-limit is in some sense analogous to the [[11-limit]] as both include the prime ending a record prime gap. | ||
[[282edo|282EDO]] is the smallest EDO that is consistent to the 29-odd-limit. Intervals [[29/16]] and [[32/29]] are very accurately approximated by [[7edo|7EDO]] (1\7 for 32/29, 6\7 for 29/16). | |||
== See also == | == See also == | ||
| Line 8: | Line 10: | ||
[[Category:Limit]] | [[Category:Limit]] | ||
[[Category:Prime limit]] | [[Category:Prime limit]] | ||
[[Category:Rank 10]] | |||
Revision as of 09:40, 29 September 2021
29-limit is the 10th prime limit and is thus a superset of the 23-limit and a subset of the 31-limit. The prime 29 is notable as being the prime that ends a record prime gap starting at 23. Thus, the 29-limit is in some sense analogous to the 11-limit as both include the prime ending a record prime gap.
282EDO is the smallest EDO that is consistent to the 29-odd-limit. Intervals 29/16 and 32/29 are very accurately approximated by 7EDO (1\7 for 32/29, 6\7 for 29/16).