Valerisma

Revision as of 16:53, 20 January 2026 by Hotcrystal0 (talk | contribs) (Created page with "{{Infobox Interval |Monzo = -37 0 0 0 0 10 |Name = valerisma |Comma = yes }} {{monzo|-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. For edos up to ~1200, the valerisma is tempered out if and only if the edo is a multiple of of 10. It is tempered out in temperaments such as linus, deca, decoid, and other...")
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[-37 0 0 0 0 10, the valerisma, is the amount by which 10 13/8s exceed 7 octaves.

Interval information
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
Open this interval in xen-calc

Temperaments

Tempering out the valerisma splits the octave into 10 equal parts and equates 13/8 with 7\10. For edos up to ~1200, the valerisma is tempered out if and only if the edo is a multiple of of 10. It is tempered out in temperaments such as linus, deca, decoid, and other miscellaneous 10th-octave temperaments.