Trienstonisma: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Fredg999 category edits (talk | contribs)
Plumtree (talk | contribs)
m Normalising usage of Infobox Interval
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 43046721/43025920
| Ratio = 43046721/43025920
| Monzo = -9 16 -1 -5
| Cents = 0.83677
| Name = trienstonisma
| Name = trienstonisma
| Color name = Laquinru-agu comma
| Color name = Laquinru-agu comma
| FJS name =
| Comma = yes
| Sound =  
}}
}}


The '''trienstonisma''' is an [[Unnoticeable comma|unnoticeable]] [[7-limit]] comma with a ratio of 43046721/43025920 and a value of approximately 0.84 [[cent]]s. 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 temperaments|trienstonismic temperament]].
The '''trienstonisma''' is an [[Unnoticeable comma|unnoticeable]] [[7-limit]] comma with a ratio of 43046721/43025920 and a value of approximately 0.84 [[cent]]s. 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 temperaments|trienstonismic temperament]].


[[Category:7-limit]]
[[Category:Unnoticeable commas]]
[[Category:Trienstonismic]]
[[Category:Trienstonismic]]

Revision as of 18:04, 25 October 2022

Interval information
Ratio 43046721/43025920
Factorization 2-9 × 316 × 5-1 × 7-5
Monzo [-9 16 -1 -5
Size in cents 0.8367676¢
Name trienstonisma
Color name Laquinru-agu comma
FJS name [math]\displaystyle{ \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
Comma size unnoticeable
Open this interval in xen-calc

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.