4096/4095: Difference between revisions

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Mention its significance in sagittal notation
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'''4096/4095''', the '''schismina''', is a [[superparticular]] [[ratio]] of about 0.42 cents. It is the difference between [[65/64]] and [[64/63]], and between [[1053/1024]] and [[36/35]].
'''4096/4095''', the '''schismina''', is a [[13-limit]] [[superparticular]] [[ratio]] of about 0.42 cents. It is the difference between [[65/64]] and [[64/63]], and between [[1053/1024]] and [[36/35]].
 
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.  


== See also ==
== See also ==
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[[Category:Unnoticeable comma]]
[[Category:Unnoticeable comma]]
[[Category:Superparticular]]
[[Category:Superparticular]]
 
[[Category:Mina]]
[[Category:Todo:expand]]

Revision as of 09:42, 15 January 2021

Interval information
Ratio 4096/4095
Factorization 212 × 3-2 × 5-1 × 7-1 × 13-1
Monzo [12 -2 -1 -1 0 -1
Size in cents 0.4227162¢
Name schismina
Color name sathurugu comma
FJS name [math]\displaystyle{ \text{P1}_{5,7,13} }[/math]
Special properties square superparticular,
reduced,
reduced subharmonic
Tenney norm (log2 nd) 23.9996
Weil norm (log2 max(n, d)) 24
Wilson norm (sopfr(nd)) 55
Open this interval in xen-calc

4096/4095, the schismina, is a 13-limit superparticular ratio of about 0.42 cents. It is the difference between 65/64 and 64/63, and between 1053/1024 and 36/35.

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 tinas.

See also