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Interval information
Ratio 2058/2057
Factorization 2 × 3 × 73 × 11-2 × 17-1
Monzo [1 1 0 3 -2 0 -1
Size in cents 0.84142604¢
Name xenisma
Color name 17u1uuz32, sululutrizo 2nd
FJS name [math]\text{M2}^{7,7,7}_{11,11,17}[/math]
Special properties superparticular,
Tenney height (log2 nd) 22.0134
Weil height (log2 max(n, d)) 22.0141
Wilson height (sopfr (nd)) 65
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~2.40051 bits
Comma size unnoticeable
open this interval in xen-calc

2058/2057, the xenisma, is a 17-limit (also subgroup) comma measuring about 0.84 cents. It is the amount by which a stack of two 14/11's exceed 34/21.

Commatic relations

This comma is the difference between the following superparticular pairs:

Not to mention some nonsuperparticular but useful relations:

It factors into the following superparticular pairs:


Tempering out this comma in the 17-limit results in the rank-6 xenismic temperament, or in the subgroup, the rank-4 xenic temperament. In either case it enables xenismic chords.


The xenisma was named by Margo Schulter in 2000[1].