5832/5831
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| 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{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.