11/10: Difference between revisions

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== Temperaments ==

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.

11/10 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 temperaments in the [[stearnsmic clan]] such as [[pogo]], [[supers]], or [[echidna]], all of which detemper [[100/99]] and [[121/120]] and efficiently and accurately find [[11-limit]] and (no-13's) [[17-limit]] harmonies.

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

=== Exotemperaments ===

~~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]].

11/10 is tempered out in 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 ==
-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.
+/10 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 temperaments in the [[stearnsmic clan]] such as [[pogo]], [[supers]], or [[echidna]], all of which detemper [[100/99]] and [[121/120]] and efficiently and accurately find [[11-limit]] and (no-13's) [[17-limit]] harmonies.
-=== [[Exotemperament]]s ===
+=== Exotemperaments ===
-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]].
+/10 is tempered out in 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 ==