5832/5831

Interval information

Ratio	5832/5831
Factorization	23 × 36 × 7-3 × 17-1
Monzo	[3 6 0 -3 0 0 -1⟩
Size in cents	0.2968763¢
Name	chlorisma
Color name	17r3-3, sutriru negative 3rd, Sutriru comma
FJS name	[math]\displaystyle{ \text{dd}{-3}_{7,7,7,17} }[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	25.0193
Weil height (log2 max(n, d))	25.0196
Wilson height (sopfr(nd))	62
Comma size	unnoticeable
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5832/5831, the chlorisma, is an exceptionally small 17-limit (also 2.3.7.17 subgroup) unnoticeable comma of less than 0.3 cents. It is the difference between 18/17 and 343/324.

In Sagittal notation, this is the default comma represented by two tinas.

Commatic relations

In terms of commas, it is the difference between the following superparticular pairs:

• 540/539 and 595/594
• 729/728 and 833/832
• 1701/1700 and 2401/2400
• 1716/1715 and 2431/2430
• 4914/4913 and 31213/31212

It factors into the following suparparticular pairs:

• 9801/9800 and 14400/14399

Temperaments

Tempering out this comma in the 17-limit results in the rank-6 chlorismic temperament, or in the 2.3.7.17 subgroup, the rank-3 chloric temperament. In either case it equates a stack of three 9/7 supermajor thirds with 17/8, the 17th harmonic minus three octaves.

Etymology

The chlorisma was named by Jerdle in 2021. Despite the similar name, it has no relation to the previously-named chlorine temperament.

See also

• List of superparticular intervals
• Unnoticeable comma