2080/2079: Difference between revisions

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Separate superparticular and nonsuperparticular relations
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'''2080/2079''', the '''ibnsinma''', is a [[13-limit]] [[unnoticeable comma]] measuring about 0.8 [[cent]]s. It is such a significant comma in the 13-limit being the difference between the following commas:  
'''2080/2079''', the '''ibnsinma''', is a [[13-limit]] [[unnoticeable comma]] measuring about 0.8 [[cent]]s. It is such a significant comma in the 13-limit being the difference between eight pairs of superparticular ratios:  
* [[64/63]] and [[66/65]]
* [[64/63]] and [[66/65]]
* [[78/77]] and [[81/80]]
* [[78/77]] and [[81/80]]
* [[100/99]] and [[105/104]]
* [[100/99]] and [[105/104]]
* [[896/891]] and [[196/195]]
* [[5120/5103]] and [[352/351]]
* [[352/351]] and [[847/845]]
* [[325/324]] and [[385/384]]
* [[325/324]] and [[385/384]]
* [[364/363]] and [[441/440]]
* [[364/363]] and [[441/440]]
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* [[1716/1715]] and [[9801/9800]]
* [[1716/1715]] and [[9801/9800]]


Or as a relationship in the four formal commas defined by [[Functional Just System]]: ((64/63)([[1053/1024]])) / ((81/80)([[33/32]])).  
Not to mention some nonsuperparticular but useful ratios:
* [[896/891]] and [[196/195]]
* [[5120/5103]] and [[352/351]]
* [[352/351]] and [[847/845]]
 
Or as a relation in the four formal commas defined by [[Functional Just System]]: ((64/63)([[1053/1024]])) / ((81/80)([[33/32]])).  


It factors into the following superparticular intervals:  
It factors into the following superparticular intervals: