Llywelyn comma

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Interval information
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 n⋅d) 43.9734
Weil height (max(n, d)) 4194304
Benedetti height (n⋅d) 17270948495360
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.