Syntonoschisma: Difference between revisions

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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''.

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 [[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 it out leads to a form of [[syntonoschic temperament]].

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

[[Category:~~Syntonoschic~~]]

[[Category:Syntonoschismic]]

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 }}
-{{Distinguish| Syntonic comma}}
+{{Distinguish| Syntonic comma }}
+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''.
-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 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 it out leads to a form of [[syntonoschic temperament]].
 [[Category:Commas named for the intervals they stack]]
-[[Category:Syntonoschic]]
+[[Category:Syntonoschismic]]