5832/5831

Revision as of 07:30, 21 August 2021 by FloraC (talk | contribs) (Cleanup, +links, +categories)
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 17urrr-3, sutriru negative 3rd
FJS name [math]\displaystyle{ \text{2d}{-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
Open this interval in xen-calc

5832/5831, the chlorisma, is an exceptionally small unnoticeable comma of less than 0.3 cents in the 17-limit (and also 2.3.7.17 subgroup). It is the difference between 18/17 and 343/324. Tempering it out equates a stack of three 7/6 subminor thirds with a stack consisting of an 18/17 lesser septendecimal semitone and a 3/2 perfect fifth, that is, a 27/17 quasi-tempered minor sixth. In terms of commas, it is the difference between the palingenetic comma (1701/1700) and the breedsma (2401/2400), as well as the difference between the squbema (729/728) and the horizon comma (833/832).

See also