1000/999

Interval information

Ratio	1000/999
Subgroup monzo	2.3.5.37 [3 -3 3 -1⟩
Size in cents	1.7321¢
Name(s)	missing ?
Color name	37uy3-2 thisutriyo negative 2nd
FJS name	[math]\displaystyle{ \text{A1}^{5,5,5}_{37} }[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	19.9301
Weil height (log2 max(n, d))	19.9316
Wilson height (sopfr(nd))	67
Comma size	unnoticeable
Open this interval in xen-calc

1000/999, is a 37-limit superparticular comma of about 1.7 cents. It is the difference between the commas 27/25 and 40/37.

Temperaments

Tempering it out produces the rank-11 millenismic temperament in the full 37-limit, and the rank-3 millenic temperament in the 2.3.5.37 subgroup, and enables the millenismic chords.

1000/999 is also tempered out in the no-31's 37-limit extension of the superlimmal temperament. It is also useful for constructing higher-limit extensions of popular temperaments, such as kleismic and amity.

Proposed names

Francium proposed the name millenisma in 2025, referring to the Latin word for thousand.

See also

• Unnoticeable comma
• List of superparticular intervals