4096/4095: Difference between revisions

Eufalesio (talk | contribs)
declared pife-like and also schisminic doesn't have prime 11
Tags: Reverted Visual edit
Eufalesio (talk | contribs)
More differences!
Tags: Reverted Visual edit
Line 5: Line 5:
}}
}}


'''4096/4095''', the '''schismina''', is a [[13-limit]] [[superparticular]] [[ratio]] of about 0.42 cents. It is the difference between the [[64/63|septimal comma (64/63)]] and the [[65/64|wilsorma (65/64)]], and between the [[36/35|septimal quartertone (36/35)]] and the [[1053/1024|tridecimal quartertone (1053/1024)]]. It is also a [[Mersenne comma]].
'''4096/4095''', the '''schismina''', is a [[13-limit]] [[superparticular]] [[ratio]] of about 0.42 cents. It is the difference between:
 
* [[64/63]] and [[65/64]]
* [[27/26]] and [[8505/8192]]
* [[36/35]] and [[1053/1024]]
* [[35/32]] and [[128/117]]
* [[39/32]] and [[128/105]]
* [[45/32]] and [[128/91]]
* [[13/8]] and [[512/315]]
 
It is also a [[Mersenne comma]], and the smallest superparticular ratio in the [[2.3.5.7.13 subgroup]] on which it is also a [[PIFE comma|PIFE-like comma]].


The name lends itself to the general interval size measure knowns as the [[mina]]. In [[Sagittal notation]], 4096/4095 is the default comma represented by a mina or three [[tina]]s.  
The name lends itself to the general interval size measure knowns as the [[mina]]. In [[Sagittal notation]], 4096/4095 is the default comma represented by a mina or three [[tina]]s.  
It is also the smallest superparticular ratio in the 2.3.5.7.13 subgroup, and a [[PIFE comma|PIFE-like comma]].


== Temperaments ==
== Temperaments ==