5832/5831

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Interval information
Ratio 5832/5831
Factorization 23 × 36 × 7-3 × 17-1
Monzo [3 6 0 -3 0 0 -1
Size in cents 0.29687628¢
Name chlorisma
Color name 17r3-3, sutriru negative
3rd, Sutriru comma
FJS name [math]\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
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.19992 bits
Comma size unnoticeable
open this interval in xen-calc

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:

It factors into the following superparticular pair:

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