5832/5831: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Cleanup, +links, +categories
Jerdle (talk | contribs)
No edit summary
Line 10: Line 10:


'''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]]).
'''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]]).
In [[Sagittal notation]], this is the default comma represented by two [[Tina|tinas]].


== See also ==
== See also ==

Revision as of 13:33, 24 August 2021

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).

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

See also