Trimyna comma

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Interval information
Ratio 50421/50000
Factorization 2-4 × 3 × 5-5 × 75
Monzo [-4 1 -5 5
Size in cents 14.51596¢
Name Trimyna comma
Color name z5g54, quinzogu 4th
FJS name [math]\text{dddd4}^{7,7,7,7,7}_{5,5,5,5,5}[/math]
Special properties reduced
Tenney height (log2 nd) 31.2314
Weil height (log2 max(n, d)) 31.2435
Wilson height (sopfr(nd)) 71
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~2.88009 bits
Comma size small
open this interval in xen-calc

50421/50000, the trimyna comma, is a small 7-limit comma. It is the amount by which a stack of five 10/7's falls short of 6/1, the sixth harmonic. Equivalently stated, it is the amount by which a stack of three 50/49's falls short of 15/14. Tempering it out leads to the trimyna temperament.

It factors into simpler commas as (126/125)(2401/2400).