Llywelynsma
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| Ratio | 4194304/4117715 |
| Factorization | 222 × 5-1 × 7-7 |
| Monzo | [22 0 -1 -7⟩ |
| Size in cents | 31.904941¢ |
| Names | llywelynsma, llywelyn comma |
| Color name | sr7g-3, sasepru-agu negative 3rd |
| FJS name | [math]\text{d}{-3}_{5,7,7,7,7,7,7,7}[/math] |
| Special properties | reduced |
| 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 | |
The llywelynsma or llywelyn comma (monzo: [22 0 -1 -7⟩, ratio: 4194304/4117715) is a medium 7-limit comma. It is the amount by which seven 8/7's exceed an octave plus a 5/4.
Temperaments
Tempering out this comma in the 7-limit leads to the llywelynsmic temperament, or in the 2.5.7 subgroup, the llywelyn temperament. Edos tempering it out includes 16edo and 37edo.
Etymology
This comma was named by +merlan #flirora in 2021 after Llywelyn Bren.