Lumatone mapping for 27edo: Difference between revisions

Line 1:

== Diatonic ==

Keep in mind that 27edo is a [[superpyth]] temperament, so 5/4 is mapped to the interval of an augmented second (e.g. a 5/4 above C is D♯). Therefore if 0 is 1/1 on this mapping, 9 represents 5/4 and you can find that by going over to 5 {{nowrap|(e.g. C → D)}} and then going up to 9 {{nowrap|(D → D♯)}}. If you want {{nowrap|{{dash|root, 3rd, 5th}}}} triads to be accessible in a more intuitive way, the [[7L 6s]] [[~~tetracot~~]] ~~mapping~~ may be preferable.

== Tetracot ==

Keep in mind that 27edo is a [[superpyth]] temperament, so 5/4 is mapped to the interval of an augmented second (e.g. a 5/4 above C is D♯). Therefore if 0 is 1/1 on this mapping, 9 represents 5/4 and you can find that by going over to 5 {{nowrap|(e.g. C → D)}} and then going up to 9 {{nowrap|(D → D♯)}}. If you want {{nowrap|{{dash|root, 3rd, 5th}}}} triads to be accessible in a more intuitive way, the [[7L 6s]] mapping for [[Tetracot]] may be preferable.

== Neutral thirds ==

Other alternatives to this include a mapping derived from a [[Lumatone mapping for neutral thirds scales]]:

Line 15:

Line 18:

== [[Sensi]] ==

Or the [[Lumatone mapping for sensi]]:

== Myna ==

If you want to maximise your range, the [[myna]] one is the widest one that still covers the whole gamut, spanning 8 octaves in its most compressed MOS. Though, the [[4L 3s]] MOS has a 6:1 step ratio, making it quite awkward.

@@ Line 1: / Line 1: @@
 {{Lumatone mapping intro}}
+== Diatonic ==
 {{Lumatone EDO mapping|n=27|start=6|xstep=5|ystep=-4}}
-Keep in mind that 27edo is a [[superpyth]] temperament, so 5/4 is mapped to the interval of an augmented second (e.g. a 5/4 above C is D♯). Therefore if 0 is 1/1 on this mapping, 9 represents 5/4 and you can find that by going over to 5 {{nowrap|(e.g. C → D)}} and then going up to 9 {{nowrap|(D → D♯)}}. If you want {{nowrap|{{dash|root, 3rd, 5th}}}} triads to be accessible in a more intuitive way, the [[7L&nbsp;6s]] [[tetracot]] mapping may be preferable.
+== Tetracot ==
+Keep in mind that 27edo is a [[superpyth]] temperament, so 5/4 is mapped to the interval of an augmented second (e.g. a 5/4 above C is D♯). Therefore if 0 is 1/1 on this mapping, 9 represents 5/4 and you can find that by going over to 5 {{nowrap|(e.g. C → D)}} and then going up to 9 {{nowrap|(D → D♯)}}. If you want {{nowrap|{{dash|root, 3rd, 5th}}}} triads to be accessible in a more intuitive way, the [[7L&nbsp;6s]] mapping for [[Tetracot]] may be preferable.
 {{Lumatone EDO mapping|n=27|start=21|xstep=4|ystep=-1}}
+== Neutral thirds ==
 Other alternatives to this include a mapping derived from a [[Lumatone mapping for neutral thirds scales]]:
 {{Lumatone EDO mapping|n=27|start=0|xstep=3|ystep=2}}
@@ Line 15: / Line 18: @@
+== [[Sensi]] ==
 Or the [[Lumatone mapping for sensi]]:
 {{Lumatone EDO mapping|n=27|start=1|xstep=7|ystep=-4}}
+== Myna ==
 If you want to maximise your range, the [[myna]] one is the widest one that still covers the whole gamut, spanning 8 octaves in its most compressed MOS. Though, the [[4L&nbsp;3s]] MOS has a 6:1 step ratio, making it quite awkward.
 {{Lumatone EDO mapping|n=27|start=12|xstep=7|ystep=-1}}
 {{Navbox Lumatone}}