2080/2079: Difference between revisions

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Created page with "{{Infobox Interval | Icon = | Ratio = 2080/2079 | Monzo = 5 -3 1 -1 -1 1 | Cents = 0.83252 | Name = ibnsinma | Color name = | FJS name = | Sound = }} '''2080/2079''', the '..."
 
Expansion
Line 25: Line 25:
* [[4096/4095]] and [[4225/4224]]
* [[4096/4095]] and [[4225/4224]]
* [[3025/3024]] and [[6656/6655]]
* [[3025/3024]] and [[6656/6655]]
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 [[mina]]s or six [[tina]]s.  
In [[Sagittal notation]], it is the default comma represented by two [[mina]]s or six [[tina]]s.  

Revision as of 06:54, 14 February 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:

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