5832/5831
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Ratio | 5832/5831 |
Factorization | 2^{3} × 3^{6} × 7^{-3} × 17^{-1} |
Monzo | [3 6 0 -3 0 0 -1⟩ |
Size in cents | 0.29687628¢ |
Name | chlorisma |
Color name | 17r^{3}-3, sutriru negative 3rd, Sutriru comma |
FJS name | [math]\text{dd}{-3}_{7,7,7,17}[/math] |
Special properties | superparticular, reduced |
Tenney height (log_{2} nd) | 25.0193 |
Weil height (log_{2} max(n, d)) | 25.0196 |
Wilson height (sopfr (nd)) | 62 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~2.39787 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:
- 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.