Trienstonisma

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Interval information
Ratio 43046721/43025920
Factorization 2-9 × 316 × 5-1 × 7-5
Monzo [-9 16 -1 -5
Size in cents 0.83676764¢
Name trienstonisma
Color name Laquinru-agu comma
FJS name [math]\text{ddd}{-4}_{5,7,7,7,7,7}[/math]
Special properties reduced
Tenney height (log2 nd) 50.7181
Weil height (log2 max(n, d)) 50.7188
Wilson height (sopfr (nd)) 106
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.20634 bits
Comma size unnoticeable
open this interval in xen-calc
Not to be confused with Trienstonic comma.

The trienstonisma is an unnoticeable 7-limit comma with a ratio of 43046721/43025920 and a value of approximately 0.84 cents. This comma is significant on account of it being the difference by which a stack of five 28/27 third-tones falls short of one 6/5 minor third in just intonation – this significance in relation to third-tones being the source of its name. Tempering it out leads to a form of trienstonismic temperament.