159edo: Difference between revisions

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== Theory ==

As the step size of 159edo is simultaneously above the average peak [http://musictheory.zentral.zone/huntsystem2.html#2 JND] of human pitch perception and small enough to be well within the margin of error between Just 5-limit intervals and their [[12edo]] counterparts, 159edo offers a decent balance between allowing the possibility of seamless modulation to keys that are not in the same series of fifths, and not having a step-size so small as to have individual steps blend completely into one another~~. Thus, it can be said that 159edo falls in what can perhaps be considered the ideal range for a Mega-EDO in terms of possible musical functionality outside of pitch bends~~.

As the step size of 159edo is simultaneously above the average peak [http://musictheory.zentral.zone/huntsystem2.html#2 JND] of human pitch perception and small enough to be well within the margin of error between Just 5-limit intervals and their [[12edo]] counterparts, 159edo offers a decent balance between allowing the possibility of seamless modulation to keys that are not in the same series of fifths, and not having a step-size so small as to have individual steps blend completely into one another.

=== Prime harmonics ===

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Notably, while 159edo plays host to a number of fun temperaments like [[Gamelismic clan|gamelismic]], a number of [[microtemperaments]] have also been found hiding within its structure. This means that 159edo is well-balanced in terms of the possibilities for interesting usage ~~in music composition~~.

Notably, while 159edo plays host to a number of fun temperaments like [[Gamelismic clan|gamelismic]], a number of [[microtemperaments]] have also been found hiding within its structure. This means that 159edo is well-balanced in terms of the possibilities for interesting temperament usage.

* In the 5-limit, it tempers out the same commas as 53edo, including [[15625/15552]], [[32805/32768]], [[amity comma|1600000/1594323]], [[semicomma|2109375/2097152]], and [[vulture comma|10485760000/10460353203]].

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 == Theory ==
-As the step size of 159edo is simultaneously above the average peak [http://musictheory.zentral.zone/huntsystem2.html#2 JND] of human pitch perception and small enough to be well within the margin of error between Just 5-limit intervals and their [[12edo]] counterparts, 159edo offers a decent balance between allowing the possibility of seamless modulation to keys that are not in the same series of fifths, and not having a step-size so small as to have individual steps blend completely into one another.  Thus, it can be said that 159edo falls in what can perhaps be considered the ideal range for a Mega-EDO in terms of possible musical functionality outside of pitch bends.
+As the step size of 159edo is simultaneously above the average peak [http://musictheory.zentral.zone/huntsystem2.html#2 JND] of human pitch perception and small enough to be well within the margin of error between Just 5-limit intervals and their [[12edo]] counterparts, 159edo offers a decent balance between allowing the possibility of seamless modulation to keys that are not in the same series of fifths, and not having a step-size so small as to have individual steps blend completely into one another.
 === Prime harmonics ===
@@ Line 28: / Line 28: @@
 {{todo|improve readability}}
-Notably, while 159edo plays host to a number of fun temperaments like [[Gamelismic clan|gamelismic]], a number of [[microtemperaments]] have also been found hiding within its structure.  This means that 159edo is well-balanced in terms of the possibilities for interesting usage in music composition.
+Notably, while 159edo plays host to a number of fun temperaments like [[Gamelismic clan|gamelismic]], a number of [[microtemperaments]] have also been found hiding within its structure.  This means that 159edo is well-balanced in terms of the possibilities for interesting temperament usage.
 * In the 5-limit, it tempers out the same commas as 53edo, including [[15625/15552]], [[32805/32768]], [[amity comma|1600000/1594323]], [[semicomma|2109375/2097152]], and [[vulture comma|10485760000/10460353203]].