Lumatone mapping for 72edo: Difference between revisions

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{{Lumatone mapping intro}} You can use either the second ~~or third~~ best alternate ~~fifths, but they will not cover the full gamut or make the best-tuned intervals easily accessible.~~

== Diatonic ==

You can use either the second- best alternate fifth:

or the third-best:

~~Instead,~~ the ~~most efficient way to put~~ the best-tuned intervals ~~near each other while allowing access to all of them is the [[miracle]] mapping, although this does reduce the range to a little over three octaves~~.

but these do not cover the full gamut or make the best-tuned intervals easily accessible.

== Miracle ==

Instead, the most efficient way to put the best-tuned intervals near each other while allowing access to all of them is the [[Miracle]] mapping, although this does reduce the range to a little over three octaves.

=== Semimiracle ===

Slicing the period in half to produce [[semimiracle]] makes ratios of 13 and 17 just as easy to play as the 11-limit ones and also keeps octaves closer to horizontal.

@@ Line 1: / Line 1: @@
-{{Lumatone mapping intro}} You can use either the second or third best alternate fifths, but they will not cover the full gamut or make the best-tuned intervals easily accessible.
+{{Lumatone mapping intro}}
+== Diatonic ==
+You can use either the second- best alternate fifth:
 {{Lumatone EDO mapping|n=72|start=24|xstep=14|ystep=-13}}
+or the third-best:
 {{Lumatone EDO mapping|n=72|start=48|xstep=10|ystep=1}}
-Instead, the most efficient way to put the best-tuned intervals near each other while allowing access to all of them is the [[miracle]] mapping, although this does reduce the range to a little over three octaves.
+but these do not cover the full gamut or make the best-tuned intervals easily accessible.
+== Miracle ==
+Instead, the most efficient way to put the best-tuned intervals near each other while allowing access to all of them is the [[Miracle]] mapping, although this does reduce the range to a little over three octaves.
 {{Lumatone EDO mapping|n=72|start=30|xstep=7|ystep=2}}
+=== Semimiracle ===
 Slicing the period in half to produce [[semimiracle]] makes ratios of 13 and 17 just as easy to play as the 11-limit ones and also keeps octaves closer to horizontal.
 {{Lumatone EDO mapping|n=72|start=45|xstep=7|ystep=1}}
 {{Navbox Lumatone}}