28561/28560: Difference between revisions

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{{Infobox Interval

|~~Name~~ = ~~Neuseisma~~

| Ratio = 28561/28560

|Comma = yes

| Comma = yes

|Color name = suquadtho-arugu 1sn

| Name = Pisanoisma

| Color name = suquadtho-arugu 1sn

}}

'''28561/28560'''~~, the '''Neuseisma''',~~ is an unnoticeable 17-limit comma ~~which~~ is the difference between [[169/168]] and [[170/169]].

'''28561/28560''' is an [[Unnoticeable comma|unnoticeable]] [[17-limit]] [[comma]] of about 0.06{{cent}}. It is a superparticular with a fourth power as its numerator, in this case 134 = 1692 so that this comma is expressible as [[S-expression|S]]169 and as the difference between [[169/168]] and [[170/169]]. Its denominator decomposes as (132 - 1)(132 + 1), which, as 13 is a member of the Fibonacci sequence, by a property of that sequence is equal to 5*8*21*34, the product of the four nearest members of the sequence to 13. This is responsible for the comma belonging to a relatively low [[prime limit]] for the size of its numerator and denominator, though the same Fibonacci property also applies to the [[scintillisma]], S441 = S(212). Therefore, this comma has been given the name of the '''pisanoisma''', in reference to Leonardo Pisano, the discoverer of the Fibonacci sequence.

It ~~is named after Neuse Forest, North Carolina, which has a ZIP code of 28560.~~

== Commatic relations ==

It factors into

* [[37180/37179]] and [[123201/123200]]

* [[31213/31212]] and [[336141/336140]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-|Name = Neuseisma
+| Ratio = 28561/28560
-|Comma = yes
+| Comma = yes
-|Color name = suquadtho-arugu 1sn
+| Name = Pisanoisma
+| Color name = suquadtho-arugu 1sn
 }}
-'''28561/28560''', the '''Neuseisma''', is an unnoticeable 17-limit comma which is the difference between [[169/168]] and [[170/169]].
+'''28561/28560''' is an [[Unnoticeable comma|unnoticeable]] [[17-limit]] [[comma]] of about 0.06{{cent}}. It is a superparticular with a fourth power as its numerator, in this case 13<sup>4</sup> = 169<sup>2</sup> so that this comma is expressible as [[S-expression|S]]169 and as the difference between [[169/168]] and [[170/169]]. Its denominator decomposes as (13<sup>2</sup> - 1)(13<sup>2</sup> + 1), which, as 13 is a member of the Fibonacci sequence, by a property of that sequence is equal to 5*8*21*34, the product of the four nearest members of the sequence to 13. This is responsible for the comma belonging to a relatively low [[prime limit]] for the size of its numerator and denominator, though the same Fibonacci property also applies to the [[scintillisma]], S441 = S(21<sup>2</sup>). Therefore, this comma has been given the name of the '''pisanoisma''', in reference to Leonardo Pisano, the discoverer of the Fibonacci sequence.
-It is named after Neuse Forest, North Carolina, which has a ZIP code of 28560.
+== Commatic relations ==
+It factors into
+* [[37180/37179]] and [[123201/123200]]
+* [[31213/31212]] and [[336141/336140]]