11/10: Difference between revisions

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== Temperaments ==

~~11/10 is~~ treated as a comma in ~~edos 1~~, 2, 3, 5, and ~~some very low accuracy temperaments such as~~ [[~~Very low accuracy temperaments #Antietam|antietam~~]].

It may be treated implicitly as a comma in JI scales that (for example) do not find [[11/8]] and [[5/4]] above the same degree, but usually it makes much more sense to use it as a generator, such as the aforementioned very accurate strategy of making it a third of [[4/3]], leading to scales that look like [[porcupine]] but whose harmonies can more accurately be explained in a number of ways depending partially on the exact tempering used. If you use a half-octave period you get [[echidna]], a [[hedgehog]] lookalike that detempers [[100/99]] and [[121/120]] and which efficiently and accurately finds [[11-limit]] and (no-13's) [[17-limit]] harmonies.

~~It may be treated implicitly as a comma in JI scales that (for example) do not find~~ [[~~11/8~~]] ~~and~~ [[~~5/4~~]] ~~above the same degree, but usually it makes much more sense to use~~ it ~~as a generator, such as~~ the ~~aforementioned very accurate strategy of making it a third of~~ [[~~4/3~~]]~~, leading to scales that look like [[porcupine]] but whose harmonies can more accurately be explained in a number~~ of ~~ways depending partially on the exact tempering used. If you use a half-octave period you get~~ [[~~echidna~~]], a [[~~hedgehog~~]] ~~lookalike~~ that ~~detempers [[100/99]] and [[121/120]] and which efficiently and accurately finds [[11-limit]] and (no-13's)~~ [[~~17-limit~~]] ~~harmonies~~.

=== [[Exotemperament]]s ===

Some [[val]]s that temper it out are the [[patent val]]s of [[edo]]s 1, 2, 3 and 5. An example rank 2 [[exotemperament]] that treats it as a comma to be tempered out is [[Very low accuracy temperaments #Antietam|antietam]].

== Trivia ==

@@ Line 11: / Line 11: @@
 == Temperaments ==
-/10 is treated as a comma in edos 1, 2, 3, 5, and some very low accuracy temperaments such as [[Very low accuracy temperaments #Antietam|antietam]].
+It may be treated implicitly as a comma in JI scales that (for example) do not find [[11/8]] and [[5/4]] above the same degree, but usually it makes much more sense to use it as a generator, such as the aforementioned very accurate strategy of making it a third of [[4/3]], leading to scales that look like [[porcupine]] but whose harmonies can more accurately be explained in a number of ways depending partially on the exact tempering used. If you use a half-octave period you get [[echidna]], a [[hedgehog]] lookalike that detempers [[100/99]] and [[121/120]] and which efficiently and accurately finds [[11-limit]] and (no-13's) [[17-limit]] harmonies.
-It may be treated implicitly as a comma in JI scales that (for example) do not find [[11/8]] and [[5/4]] above the same degree, but usually it makes much more sense to use it as a generator, such as the aforementioned very accurate strategy of making it a third of [[4/3]], leading to scales that look like [[porcupine]] but whose harmonies can more accurately be explained in a number of ways depending partially on the exact tempering used. If you use a half-octave period you get [[echidna]], a [[hedgehog]] lookalike that detempers [[100/99]] and [[121/120]] and which efficiently and accurately finds [[11-limit]] and (no-13's) [[17-limit]] harmonies.
+=== [[Exotemperament]]s ===
+Some [[val]]s that temper it out are the [[patent val]]s of [[edo]]s 1, 2, 3 and 5. An example rank 2 [[exotemperament]] that treats it as a comma to be tempered out is [[Very low accuracy temperaments #Antietam|antietam]].
 == Trivia ==