Trienstonisma: Difference between revisions

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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 interval between a stack of five [[28/27]] third-tones and 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:7-limit]]
[[Category:Unnoticeable comma]]
[[Category:Unnoticeable comma]]
[[Category:Trienstonismic]]
[[Category:Trienstonismic]]

Revision as of 12:34, 5 November 2021

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
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.