Trimyna comma
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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
Interval information |
(Shannon, [math]\sqrt{nd}[/math])
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.