2080/2079: Difference between revisions

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Expansion
m +as the diff between 896/891 and 196/195
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* [[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]]
* [[5120/5103]] and [[352/351]]
* [[352/351]] and [[847/845]]
* [[352/351]] and [[847/845]]
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* [[3025/3024]] and [[6656/6655]]
* [[3025/3024]] and [[6656/6655]]


== Temperaments ==
By tempering it out is defined the '''ibnsinmic temperament''', which enables the '''ibnsinmic chords''', the essentially tempered chords in the 21-odd-limit.  
By tempering it out is defined the '''ibnsinmic temperament''', which enables the '''ibnsinmic chords''', the essentially tempered chords in the 21-odd-limit.  



Revision as of 04:42, 29 June 2021

Interval information
Ratio 2080/2079
Factorization 25 × 3-3 × 5 × 7-1 × 11-1 × 13
Monzo [5 -3 1 -1 -1 1
Size in cents 0.8325242¢
Name ibnsinma
FJS name [math]\displaystyle{ \text{P1}^{5,13}_{7,11} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 22.044
Weil height (log2 max(n, d)) 22.0447
Wilson height (sopfr(nd)) 55
Open this interval in xen-calc

2080/2079, the ibnsinma, is a 13-limit unnoticeable comma measuring about 0.8 cents. It is such a significant comma in the 13-limit being the difference between the following commas:

It factors into the following superparticular intervals:

Temperaments

By tempering it out is defined the ibnsinmic temperament, which enables the ibnsinmic chords, the essentially tempered chords in the 21-odd-limit.

In Sagittal notation, it is the default comma represented by two minas or six tinas.

See also