Llywelyn comma
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Ratio | 4194304/4117715 |
Factorization | 222 × 5-1 × 7-7 |
Monzo | [22 0 -1 -7⟩ |
Size in cents | 31.904941¢ |
Name | llywelyn comma |
FJS name | [math]\text{d}{-3}_{5,7,7,7,7,7,7,7}[/math] |
Special properties | reduced, reduced subharmonic |
Tenney height (log2 nd) | 43.9734 |
Weil height (log2 max(n, d)) | 44 |
Wilson height (sopfr (nd)) | 98 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.49622 bits |
Comma size | medium |
open this interval in xen-calc |
4194304/4117715, the llywelyn comma (named after Llywelyn Bren), is a 7-limit medium comma. It is the amount by which seven 8/7s exceed an octave plus a 5/4. Tempering out this comma for the 2.5.7 subgroup leads to llywelyn temperament, which includes 16edo and 37edo.