Trimyna comma: Difference between revisions

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'''50421/50000''', the '''trimyna comma''', is a [[small comma|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.  
'''50421/50000''', the '''trimyna comma''', is a [[small comma|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. The name ''trimyna'' is a contraction of ''[[tritonic]]'' and ''[[myna]]''.  


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

Latest revision as of 01:16, 26 November 2025

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]\displaystyle{ \text{dddd4}^{7,7,7,7,7}_{5,5,5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 31.2314
Weil norm (log2 max(n, d)) 31.2435
Wilson norm (sopfr(nd)) 71
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. The name trimyna is a contraction of tritonic and myna.

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