Valerisma

Interval information

Ratio	137858491849/137438953472
Subgroup monzo	2.13 [-37 10⟩
Size in cents	5.276618¢
Name	valerisma
FJS name	[math]\displaystyle{ \text{5d2}^{13,13,13,13,13,13,13,13,13,13} }[/math]
Special properties	reduced, reduced harmonic
Tenney norm (log2 nd)	74.0044
Weil norm (log2 max(n, d))	74.0088
Wilson norm (sopfr(nd))	204
Comma size	small
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[-37 0 0 0 0 10⟩, the valerisma, is the amount by which 10 13/8s exceed 7 octaves.

Temperaments

Tempering out the valerisma splits the octave into 10 equal parts and equates 13/8 with 7\10, and equivalently, 2197/2048 with 1\10. For edos up to 1130edo, the valerisma is tempered out if and only if the edo is a multiple of 10. Some full 13-limit temperaments where this is represented are linus, deca, decoid, and other miscellaneous 10th-octave temperaments.