Syntonoschisma: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 83886080000000/83881572334857
| Ratio = 83886080000000/83881572334857
| Name = syntonisma, syntonic schisma
| Name = syntonoschisma, syntonic schisma
| Color name = s<sup>3</sup>1uy<sup>7</sup>2, Trisa-lusepyo comma, <br>Trisa-lusepyo 2nd
| Color name = s<sup>3</sup>1uy<sup>7</sup>2, Trisa-lusepyo comma, <br>Trisa-lusepyo 2nd
| Comma = yes
| Comma = yes
}}
}}
{{Distinguish| Syntonic comma}}
{{Distinguish| Syntonic comma }}


The '''syntonisma''' or '''syntonic schisma''' is an unnoticeable 11-limit comma with a ratio of 2<sup>30</sup> × 3<sup>-27</sup> × 5<sup>7</sup> × 11<sup>-1</sup> = 83886080000000/83881572334857 and a value of approximately 0.093 [[cent]]s. The syntonisma is significant on account of it being the interval between a stack of seven [[81/80|syntonic comma]]s and one [[12/11]] neutral second in Just Intonation - this significance in relation to syntonic comma being the source of its name. Tempering it out leads to a form of [[Syntonismic temperaments|syntonismic temperament]].
The '''syntonoschisma''' or '''syntonic schisma''' is an [[unnoticeable comma|unnoticeable]] [[11-limit]] [[comma]] with a value of approximately 0.093 [[cent]]s. The syntonoschisma is significant on account of it being the interval between a stack of seven [[81/80|syntonic comma]]s and one [[12/11]] neutral second in [[just intonation]] – this significance in relation to syntonic comma being the source of its name.  
 
[[Tempering out]] this comma in the full 11-limit leads to a form of syntonoschismic temperament, or in the 2.3.5.11 subgroup, a syntonoschic temperament.
 
The comma's name was originally proposed by [[Xenllium]] as ''syntonisma'', but as that was a systematically derived name for the syntonic comma itself, it was soon changed to ''syntonoschisma''.  


[[Category:Syntonismic]]
[[Category:Commas named for the intervals they stack]]
[[Category:Commas named for the intervals they stack]]
[[Category:Syntonoschismic]]

Latest revision as of 16:34, 7 November 2025

Interval information
Ratio 83886080000000/83881572334857
Factorization 230 × 3-27 × 57 × 11-1
Monzo [30 -27 7 0 -1
Size in cents 0.09303132¢
Names syntonoschisma,
syntonic schisma
Color name s31uy72, Trisa-lusepyo comma,
Trisa-lusepyo 2nd
FJS name [math]\displaystyle{ \text{M2}^{5,5,5,5,5,5,5}_{11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 92.5069
Weil norm (log2 max(n, d)) 92.507
Wilson norm (sopfr(nd)) 187
Comma size unnoticeable
Open this interval in xen-calc
Not to be confused with Syntonic comma.

The syntonoschisma or syntonic schisma is an unnoticeable 11-limit comma with a value of approximately 0.093 cents. The syntonoschisma is significant on account of it being the interval between a stack of seven syntonic commas and one 12/11 neutral second in just intonation – this significance in relation to syntonic comma being the source of its name.

Tempering out this comma in the full 11-limit leads to a form of syntonoschismic temperament, or in the 2.3.5.11 subgroup, a syntonoschic temperament.

The comma's name was originally proposed by Xenllium as syntonisma, but as that was a systematically derived name for the syntonic comma itself, it was soon changed to syntonoschisma.