2080/2079

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
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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:

• 65/63 and 33/32
• 64/63 and 66/65
• 78/77 and 81/80
• 100/99 and 105/104
• 5120/5103 and 352/351
• 352/351 and 847/845
• 325/324 and 385/384
• 364/363 and 441/440
• 540/539 and 729/728
• 676/675 and 1001/1000
• 1716/1715 and 9801/9800

It factors into the following superparticular intervals:

• 4096/4095 and 4225/4224
• 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 minas or six tinas.

See also

• Unnoticeable comma
• List of superparticular intervals