1352/1331: Difference between revisions

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Tempering out this comma in the 2.11.13 subgroup results in the [[lovecraft]] temperament, or in the full 13-limit, the lovecraftsmic temperament.  
Tempering out this comma in the 2.11.13 subgroup results in the [[lovecraft]] temperament, or in the full 13-limit, the lovecraftsmic temperament.  


[[Category:Lovecraftsmic]]
[[Category:Lovecraftsmic]][[Category:Commas named after controversial individuals]]

Revision as of 23:00, 15 November 2024

Interval information
Ratio 1352/1331
Factorization 23 × 11-3 × 132
Monzo [3 0 0 0 -3 2
Size in cents 27.1015¢
Names lovecraftsma,
lovecraft comma
Color name 3oo1u32, thothotrilu 2nd
FJS name [math]\displaystyle{ \text{m2}^{13,13}_{11,11,11} }[/math]
Special properties reduced
Tenney height (log2 nd) 20.7792
Weil height (log2 max(n, d)) 20.8018
Wilson height (sopfr(nd)) 65
Comma size small
Open this interval in xen-calc

1352/1331, the lovecraftsma or lovecraft comma, is a small 13-limit (also 2.11.13-subgroup) comma measuring about 27.1 cents. It is the difference between 11/8 and a stack of two 13/11's.

Temperaments

Tempering out this comma in the 2.11.13 subgroup results in the lovecraft temperament, or in the full 13-limit, the lovecraftsmic temperament.