| 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]\displaystyle{ \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]\displaystyle{ \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).