Talk:Schismic–commatic equivalence continuum: Difference between revisions

→Add option for Syntonic-Schismic equivalence continuum?: The Pythagorean comma as a musical interval in its own right
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== Add option for Syntonic-Schismic equivalence continuum? ==
== Add option for Syntonic-Schismic equivalence continuum? ==
Wouldn't it be good to have a k = n - 1 option to equate this to a Syntonic-Pythagorean ''(edit:  typo -- meant to put Syntonic-Schismic or Schismic-Syntonic)'' equivalence continuum, the same way the syntonic-chromatic equivalence continuum has a k = n - 2 option?  This is because the Pythagorean comma will not be directly relevant for most temperaments that are not multiples of 12EDO, but the syntonic comma has wide relevance, both as a comma and as a musical interval in its own right. <small>unsigned contribution by: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]], 6:18, 8 July 2024 (UTC)</small>
Wouldn't it be good to have a k = n - 1 option to equate this to a <s>Syntonic-Pythagorean</s> ''(edit:  typo -- meant to put Syntonic-Schismic or Schismic-Syntonic)'' equivalence continuum, the same way the syntonic-chromatic equivalence continuum has a k = n - 2 option?  This is because the Pythagorean comma will not be directly relevant for most temperaments that are not multiples of 12EDO, but the syntonic comma has wide relevance, both as a comma and as a musical interval in its own right. <small>unsigned contribution by: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]], 6:18, 8 July 2024 (UTC)</small>


: For what it's worth, the Pythagorean comma not only has relevance as the difference between, say, C# and Db, but it has functions as a musical interval in its own right, much like the syntonic comma.  That said, I can see what you're talking about otherwise. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 14:36, 8 July 2024 (UTC)
: For what it's worth, the Pythagorean comma not only has relevance as the difference between, say, C# and Db, but it has functions as a musical interval in its own right, much like the syntonic comma.  That said, I can see what you're talking about otherwise. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 14:36, 8 July 2024 (UTC)
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:: Oops, typo.  You're right -- I meant to put Syntonic-Schismic or Schismic-Syntonic.  Fixing this in the title and in my original comment.  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 19:16, 30 July 2024 (UTC)
:: Oops, typo.  You're right -- I meant to put Syntonic-Schismic or Schismic-Syntonic.  Fixing this in the title and in my original comment.  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 19:16, 30 July 2024 (UTC)
== 5-limit gracecordial ==
This restriction should not be canonical as both 113 & 125 and 149 & 161 are viable extensions and the optimum is around 137edo. Now there are "biscordial" and "triscordial" (idk why the ''s''), I think the restriction of gracecordial can be called ''monocordial''. —[[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 12:08, 24 April 2026 (UTC)
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