Trimyna comma

Interval information

Ratio	50421/50000
Factorization	2-4 × 3 × 5-5 × 75
Monzo	[-4 1 -5 5⟩
Size in cents	14.515964¢
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
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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).