Trienstonoschisma

From Xenharmonic Wiki
Revision as of 22:32, 5 September 2025 by VectorGraphics (talk | contribs) (VectorGraphics moved page Trienstonisma to Trienstonoschisma: "Trienstonisma" is a systematic name for the "trienstonic comma")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
Interval information
Ratio 43046721/43025920
Factorization 2-9 × 316 × 5-1 × 7-5
Monzo [-9 16 -1 -5
Size in cents 0.8367676¢
Name trienstonoschisma
Color name Laquinru-agu comma
FJS name [math]\displaystyle{ \text{ddd}{-4}_{5,7,7,7,7,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 50.7181
Weil norm (log2 max(n, d)) 50.7188
Wilson norm (sopfr(nd)) 106
Comma size unnoticeable
Open this interval in xen-calc
Not to be confused with Trienstonic comma.

The trienstonoschisma 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 trienstonoschismic temperament.