256/255: Difference between revisions

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| Monzo = 8 -1 -1 0 0 0 -1
| Monzo = 8 -1 -1 0 0 0 -1
| Cents = 6.77588
| Cents = 6.77588
| Name = septendecimal kleisma, <br/> 255th subharmonic
| Name = septendecimal kleisma, <br> 255th subharmonic
| Color name =  
| Color name =  
| FJS name =  
| FJS name =  
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'''256/255''', the '''septendecimal kleisma''', or '''255th subharmonic''', is a [[small comma|small]] [[17-limit]] [[superparticular]] comma about 6.8 [[cent]]s in size. It forms the amount by which a stack consisting of [[15/8]] and [[17/16]] falls short of an [[octave]]. It differs from [[352/351]] (the minthma) by [[936/935]]- an [[unnoticeable comma]] measuring about 1.85 cents.
'''256/255''', the '''septendecimal kleisma''', or '''255th subharmonic''', is a [[small comma|small]] [[17-limit]] [[superparticular]] comma about 6.8 [[cent]]s in size. It forms the amount by which a stack consisting of [[15/8]] and [[17/16]] falls short of an [[octave]]. It differs from [[352/351]] (the minthma) by [[936/935]] an [[unnoticeable comma]] measuring about 1.85 cents.
 
== See also ==
* [[Small comma]]
* [[List of superparticular intervals]]
 
[[Category:17-limit]]
[[Category:Small comma]]
[[Category:Superparticular]]

Revision as of 05:51, 29 December 2020

Interval information
Ratio 256/255
Factorization 28 × 3-1 × 5-1 × 17-1
Monzo [8 -1 -1 0 0 0 -1
Size in cents 6.775876¢
Names septendecimal kleisma,
255th subharmonic
FJS name [math]\displaystyle{ \text{P1}_{5,17} }[/math]
Special properties square superparticular,
reduced,
reduced subharmonic
Tenney height (log2 nd) 15.9944
Weil height (log2 max(n, d)) 16
Wilson height (sopfr(nd)) 41
Open this interval in xen-calc

256/255, the septendecimal kleisma, or 255th subharmonic, is a small 17-limit superparticular comma about 6.8 cents in size. It forms the amount by which a stack consisting of 15/8 and 17/16 falls short of an octave. It differs from 352/351 (the minthma) by 936/935 – an unnoticeable comma measuring about 1.85 cents.

See also