Lumatone mapping for neutral thirds scales - Revision history

ArrowHead294 at 12:19, 15 March 2025

2025-03-15T12:19:50Z

← Older revision		Revision as of 12:19, 15 March 2025
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	=="Double-Bosanquet"==		=="Double-Bosanquet"==
	This is called '''"Double-Bosanquet"''' since the diatonic scale is the same as in the [[Standard Lumatone mapping for Pythagorean\|~~Bosanquet-Wilson~~ layout]], except with rows of non-diatonic pitches inserted every other row. In other words it has exactly 2x as many pitches as Bosanquet, and if you removed all the half-sharps, half-flats etc. and slid the remaining rows together, it would become Bosanquet.		This is called '''"Double-Bosanquet"''' since the diatonic scale is the same as in the [[Standard Lumatone mapping for Pythagorean\|Bosanquet–Wilson layout]], except with rows of non-diatonic pitches inserted every other row. In other words it has exactly 2x as many pitches as Bosanquet, and if you removed all the half-sharps, half-flats etc. and slid the remaining rows together, it would become Bosanquet.

	{{Lumatone mapping\|		{{Lumatone mapping\|
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	Pros:		Pros:
	* Over 5 complete octaves.		* Over 5 complete octaves.
	* Neutral seconds have good ergonomics, because they have the same shape that major seconds do in ~~Bosanquet-Wilson~~.		* Neutral seconds have good ergonomics, because they have the same shape that major seconds do in Bosanquet–Wilson.

	Cons:		Cons:

Keenan Pepper: anti-double-bosanquet worse ergonomics for M2s

2021-05-20T19:30:21Z

anti-double-bosanquet worse ergonomics for M2s

← Older revision		Revision as of 19:30, 20 May 2021
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	Cons:		Cons:
			* Worse ergonomics for major seconds.
	* May be unfamiliar or confusing to people familiar with normal Bosanquet.		* May be unfamiliar or confusing to people familiar with normal Bosanquet.
	* In particular the "sharp" direction is now down toward the player (not up away from the player as in normal Bosanquet), which may be confusing.		* In particular the "sharp" direction is now down toward the player (not up away from the player as in normal Bosanquet), which may be confusing.

	[[Category:Lumatone mappings]]		[[Category:Lumatone mappings]]

Keenan Pepper: fix up some sizes

2021-05-20T19:19:27Z

fix up some sizes

Keenan Pepper: two different systems

2021-05-20T19:08:04Z

two different systems

Show changes

Keenan Pepper at 00:21, 25 April 2021

2021-04-25T00:21:59Z

@@ Line 3: / Line 3: @@
 Here is one possible mapping of the neutral thirds system, which results in compact scales and the angle of the octave interval being fairly close to horizontal (perfect horizontal is impossible with this system):
 {{Lumatone key|x=11|y=3|label=G{{flat}}}}
 {{Lumatone key|x=12|y=4|label=A{{flat}}}}

Keenan Pepper at 23:51, 24 April 2021

2021-04-24T23:51:43Z

@@ Line 116: / Line 116: @@
 {{Lumatone key|x=31|y=15|label=F{{sharp}}}}
 {{Lumatone key|x=32|y=16|label=G{{sharp}}}}
 }}
 [[Category:Lumatone mappings]]

Keenan Pepper: Created page with "Neutral third scales could conceivably be mapped onto the Lumatone keyboard in different ways. The important intervals which could be mapped to adjacent hexagons in ce..."

2021-04-24T23:37:15Z

Created page with "Neutral third scales could conceivably be mapped onto the Lumatone keyboard in different ways. The important intervals which could be mapped to adjacent hexagons in ce..."

New page

[[Neutral third scales]] could conceivably be mapped onto the [[Lumatone]] keyboard in different ways. The important intervals which could be mapped to adjacent hexagons in certain directions include the whole step, the [[diatonic semitone]], and the half-[[apotome]] which is half of a usual {{sharp}}/{{flat}} modifier. In this article the symbols ^ and v are used for half-sharp and half-flat (other symbols are sometimes available in different software).

Here is one possible mapping of the neutral thirds system, which results in compact scales and the angle of the octave interval being fairly close to horizontal (perfect horizontal is impossible with this system):

[WORK IN PROGRESS]

{{Lumatone mapping|
{{Lumatone key|x=11|y=3|label=G{{flat}}}}
{{Lumatone key|x=12|y=4|label=A{{flat}}}}
{{Lumatone key|x=13|y=5|label=B{{flat}}}}
{{Lumatone key|x=14|y=6|label=C}}
{{Lumatone key|x=15|y=7|label=D}}
{{Lumatone key|x=16|y=8|label=E}}
{{Lumatone key|x=17|y=9|label=F{{sharp}}}}
{{Lumatone key|x=18|y=10|label=G{{sharp}}}}
{{Lumatone key|x=19|y=11|label=A{{sharp}}}}
{{Lumatone key|x=20|y=12|label=B{{sharp}}}}
{{Lumatone key|x=21|y=13|label=C{{sharp2}}}}

{{Lumatone key|x=12|y=3|label=A{{flat}}v|size=10px}}
{{Lumatone key|x=13|y=4|label=B{{flat}}v|size=10px}}
{{Lumatone key|x=14|y=5|label=Cv}}
{{Lumatone key|x=15|y=6|label=Dv}}
{{Lumatone key|x=16|y=7|label=Ev}}
{{Lumatone key|x=17|y=8|label=F^}}
{{Lumatone key|x=18|y=9|label=G^}}
{{Lumatone key|x=19|y=10|label=A^}}
{{Lumatone key|x=20|y=11|label=B^}}
{{Lumatone key|x=21|y=12|label=C{{sharp}}^|size=10px}}
{{Lumatone key|x=22|y=13|label=D{{sharp}}^|size=10px}}
{{Lumatone key|x=23|y=14|label=E{{sharp}}^|size=10px}}

{{Lumatone key|x=14|y=4|label=C{{flat}}}}
{{Lumatone key|x=15|y=5|label=D{{flat}}}}
{{Lumatone key|x=16|y=6|label=E{{flat}}}}
{{Lumatone key|x=17|y=7|label=F}}
{{Lumatone key|x=18|y=8|label=G}}
{{Lumatone key|x=19|y=9|label=A}}
{{Lumatone key|x=20|y=10|label=B}}
{{Lumatone key|x=21|y=11|label=C{{sharp}}}}
{{Lumatone key|x=22|y=12|label=D{{sharp}}}}
{{Lumatone key|x=23|y=13|label=E{{sharp}}}}
{{Lumatone key|x=24|y=14|label=F{{sharp2}}}}

{{Lumatone key|x=15|y=4|label=D{{flat}}v|size=10px}}
{{Lumatone key|x=16|y=5|label=E{{flat}}v|size=10px}}
{{Lumatone key|x=17|y=6|label=Fv}}
{{Lumatone key|x=18|y=7|label=Gv}}
{{Lumatone key|x=19|y=8|label=Av}}
{{Lumatone key|x=20|y=9|label=Bv}}
{{Lumatone key|x=21|y=10|label=C^}}
{{Lumatone key|x=22|y=11|label=D^}}
{{Lumatone key|x=23|y=12|label=E^}}
{{Lumatone key|x=24|y=13|label=F{{sharp}}^|size=10px}}
{{Lumatone key|x=25|y=14|label=G{{sharp}}^|size=10px}}

{{Lumatone key|x=17|y=5|label=F{{flat}}}}
{{Lumatone key|x=18|y=6|label=G{{flat}}}}
{{Lumatone key|x=19|y=7|label=A{{flat}}}}
{{Lumatone key|x=20|y=8|label=B{{flat}}}}
{{Lumatone key|x=21|y=9|label=C}}
{{Lumatone key|x=22|y=10|label=D}}
{{Lumatone key|x=23|y=11|label=E}}
{{Lumatone key|x=24|y=12|label=F{{sharp}}}}
{{Lumatone key|x=25|y=13|label=G{{sharp}}}}
{{Lumatone key|x=26|y=14|label=A{{sharp}}}}
{{Lumatone key|x=27|y=15|label=B{{sharp}}}}

{{Lumatone key|x=18|y=5|label=G{{flat}}v|size=10px}}
{{Lumatone key|x=19|y=6|label=A{{flat}}v|size=10px}}
{{Lumatone key|x=20|y=7|label=B{{flat}}v|size=10px}}
{{Lumatone key|x=21|y=8|label=Cv}}
{{Lumatone key|x=22|y=9|label=Dv}}
{{Lumatone key|x=23|y=10|label=Ev}}
{{Lumatone key|x=24|y=11|label=F^}}
{{Lumatone key|x=25|y=12|label=G^}}
{{Lumatone key|x=26|y=13|label=A^}}
{{Lumatone key|x=27|y=14|label=B^}}
{{Lumatone key|x=28|y=15|label=C{{sharp}}^|size=10px}}

{{Lumatone key|x=19|y=5|label=A{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=20|y=6|label=B{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=21|y=7|label=C{{flat}}}}
{{Lumatone key|x=22|y=8|label=D{{flat}}}}
{{Lumatone key|x=23|y=9|label=E{{flat}}}}
{{Lumatone key|x=24|y=10|label=F}}
{{Lumatone key|x=25|y=11|label=G}}
{{Lumatone key|x=26|y=12|label=A}}
{{Lumatone key|x=27|y=13|label=B}}
{{Lumatone key|x=28|y=14|label=C{{sharp}}}}
{{Lumatone key|x=29|y=15|label=D{{sharp}}}}
{{Lumatone key|x=30|y=16|label=E{{sharp}}}}

{{Lumatone key|x=21|y=6|label=C{{flat}}v|size=10px}}
{{Lumatone key|x=22|y=7|label=D{{flat}}v|size=10px}}
{{Lumatone key|x=23|y=8|label=E{{flat}}v|size=10px}}
{{Lumatone key|x=24|y=9|label=Fv}}
{{Lumatone key|x=25|y=10|label=Gv}}
{{Lumatone key|x=26|y=11|label=Av}}
{{Lumatone key|x=27|y=12|label=Bv}}
{{Lumatone key|x=28|y=13|label=C^}}
{{Lumatone key|x=29|y=14|label=D^}}
{{Lumatone key|x=30|y=15|label=E^}}
{{Lumatone key|x=31|y=16|label=F{{sharp}}^|size=10px}}

{{Lumatone key|x=22|y=6|label=D{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=23|y=7|label=E{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=24|y=8|label=F{{flat}}}}
{{Lumatone key|x=25|y=9|label=G{{flat}}}}
{{Lumatone key|x=26|y=10|label=A{{flat}}}}
{{Lumatone key|x=27|y=11|label=B{{flat}}}}
{{Lumatone key|x=28|y=12|label=C}}
{{Lumatone key|x=29|y=13|label=D}}
{{Lumatone key|x=30|y=14|label=E}}
{{Lumatone key|x=31|y=15|label=F{{sharp}}}}
{{Lumatone key|x=32|y=16|label=G{{sharp}}}}
}}

[[Category:Lumatone mappings]]

← Older revision		Revision as of 19:19, 20 May 2021
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	{{Lumatone key\|x=15\|y=4\|label=E{{sharp}}}}		{{Lumatone key\|x=15\|y=4\|label=E{{sharp}}}}

	{{Lumatone key\|x=3\|y=5\|label=G{{flat}}{{flat}}v\|size=~~10px~~}}		{{Lumatone key\|x=3\|y=5\|label=G{{flat}}{{flat}}v\|size=8px}}
	{{Lumatone key\|x=4\|y=5\|label=A{{flat}}{{flat}}v\|size=~~10px~~}}		{{Lumatone key\|x=4\|y=5\|label=A{{flat}}{{flat}}v\|size=8px}}
	{{Lumatone key\|x=5\|y=5\|label=B{{flat}}{{flat}}v\|size=~~10px~~}}		{{Lumatone key\|x=5\|y=5\|label=B{{flat}}{{flat}}v\|size=8px}}
	{{Lumatone key\|x=6\|y=5\|label=C{{flat}}v\|size=10px}}		{{Lumatone key\|x=6\|y=5\|label=C{{flat}}v\|size=10px}}
	{{Lumatone key\|x=7\|y=5\|label=D{{flat}}v\|size=10px}}		{{Lumatone key\|x=7\|y=5\|label=D{{flat}}v\|size=10px}}
Line 90:		Line 90:
	{{Lumatone key\|x=22\|y=6\|label=E{{sharp2}}}}		{{Lumatone key\|x=22\|y=6\|label=E{{sharp2}}}}

	{{Lumatone key\|x=6\|y=7\|label=C{{flat}}{{flat}}v\|size=~~9px~~}}		{{Lumatone key\|x=6\|y=7\|label=C{{flat}}{{flat}}v\|size=8px}}
	{{Lumatone key\|x=7\|y=7\|label=D{{flat}}{{flat}}v\|size=~~9px~~}}		{{Lumatone key\|x=7\|y=7\|label=D{{flat}}{{flat}}v\|size=8px}}
	{{Lumatone key\|x=8\|y=7\|label=E{{flat}}{{flat}}v\|size=~~9px~~}}		{{Lumatone key\|x=8\|y=7\|label=E{{flat}}{{flat}}v\|size=8px}}
	{{Lumatone key\|x=9\|y=7\|label=F{{flat}}v\|size=10px}}		{{Lumatone key\|x=9\|y=7\|label=F{{flat}}v\|size=10px}}
	{{Lumatone key\|x=10\|y=7\|label=G{{flat}}v\|size=10px}}		{{Lumatone key\|x=10\|y=7\|label=G{{flat}}v\|size=10px}}
Line 104:		Line 104:
	{{Lumatone key\|x=18\|y=7\|label=A^}}		{{Lumatone key\|x=18\|y=7\|label=A^}}
	{{Lumatone key\|x=19\|y=7\|label=B^}}		{{Lumatone key\|x=19\|y=7\|label=B^}}
	{{Lumatone key\|x=20\|y=7\|label=C{{sharp}}^}}		{{Lumatone key\|x=20\|y=7\|label=C{{sharp}}^\|size=10px}}
	{{Lumatone key\|x=21\|y=7\|label=D{{sharp}}^}}		{{Lumatone key\|x=21\|y=7\|label=D{{sharp}}^\|size=10px}}
	{{Lumatone key\|x=22\|y=7\|label=E{{sharp}}^}}		{{Lumatone key\|x=22\|y=7\|label=E{{sharp}}^\|size=10px}}
	{{Lumatone key\|x=23\|y=7\|label=F{{sharp2}}^}}		{{Lumatone key\|x=23\|y=7\|label=F{{sharp2}}^\|size=10px}}
	{{Lumatone key\|x=24\|y=7\|label=G{{sharp2}}^}}		{{Lumatone key\|x=24\|y=7\|label=G{{sharp2}}^\|size=10px}}
	{{Lumatone key\|x=25\|y=7\|label=A{{sharp2}}^}}		{{Lumatone key\|x=25\|y=7\|label=A{{sharp2}}^\|size=10px}}
	{{Lumatone key\|x=26\|y=7\|label=B{{sharp2}}^}}		{{Lumatone key\|x=26\|y=7\|label=B{{sharp2}}^\|size=10px}}

	{{Lumatone key\|x=6\|y=8\|label=C{{flat}}{{flat}}{{flat}}\|size=7px}}		{{Lumatone key\|x=6\|y=8\|label=C{{flat}}{{flat}}{{flat}}\|size=7px}}
Line 137:		Line 137:
	{{Lumatone key\|x=29\|y=8\|label=E{{sharp2}}{{sharp}}}}		{{Lumatone key\|x=29\|y=8\|label=E{{sharp2}}{{sharp}}}}

	{{Lumatone key\|x=9\|y=9\|label=F{{flat}}{{flat}}v\|size=~~10px~~}}		{{Lumatone key\|x=9\|y=9\|label=F{{flat}}{{flat}}v\|size=8px}}
	{{Lumatone key\|x=10\|y=9\|label=G{{flat}}{{flat}}v\|size=~~10px~~}}		{{Lumatone key\|x=10\|y=9\|label=G{{flat}}{{flat}}v\|size=8px}}
	{{Lumatone key\|x=11\|y=9\|label=A{{flat}}{{flat}}v\|size=~~10px~~}}		{{Lumatone key\|x=11\|y=9\|label=A{{flat}}{{flat}}v\|size=8px}}
	{{Lumatone key\|x=12\|y=9\|label=B{{flat}}{{flat}}v\|size=~~10px~~}}		{{Lumatone key\|x=12\|y=9\|label=B{{flat}}{{flat}}v\|size=8px}}
	{{Lumatone key\|x=13\|y=9\|label=C{{flat}}v\|size=10px}}		{{Lumatone key\|x=13\|y=9\|label=C{{flat}}v\|size=10px}}
	{{Lumatone key\|x=14\|y=9\|label=D{{flat}}v\|size=10px}}		{{Lumatone key\|x=14\|y=9\|label=D{{flat}}v\|size=10px}}
Line 184:		Line 184:
	{{Lumatone key\|x=31\|y=10\|label=G{{sharp2}}{{sharp}}}}		{{Lumatone key\|x=31\|y=10\|label=G{{sharp2}}{{sharp}}}}

	{{Lumatone key\|x=14\|y=11\|label=D{{flat}}{{flat}}v\|size=~~9px~~}}		{{Lumatone key\|x=14\|y=11\|label=D{{flat}}{{flat}}v\|size=8px}}
	{{Lumatone key\|x=15\|y=11\|label=E{{flat}}{{flat}}v\|size=~~9px~~}}		{{Lumatone key\|x=15\|y=11\|label=E{{flat}}{{flat}}v\|size=8px}}
	{{Lumatone key\|x=16\|y=11\|label=F{{flat}}v\|size=10px}}		{{Lumatone key\|x=16\|y=11\|label=F{{flat}}v\|size=10px}}
	{{Lumatone key\|x=17\|y=11\|label=G{{flat}}v\|size=10px}}		{{Lumatone key\|x=17\|y=11\|label=G{{flat}}v\|size=10px}}