Syntonoschisma: Difference between revisions

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m Lériendil moved page Syntonisma to Syntonoschisma: Text replacement - "yntonism" to "yntonoschism"
2.3.5.11 should be -ic and not -ismic
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{{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 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 [[syntonoschic temperament]].


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

Revision as of 18:36, 22 June 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 syntonisma,
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 ratio of 230 × 3-27 × 57 × 11-1 = 83886080000000/83881572334857 and a value of approximately 0.093 cents. The syntonisma 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 it out leads to a form of syntonoschic temperament.