41edo chord names: Difference between revisions

Latest revision as of 14:14, 4 February 2025

Various 41edo triads, 6th and 7th chords, named via ups and downs notation. Not meant to be exhaustive, but this list does demonstrate the basic rules for naming.

Highly implausible chords are named as a more plausible homonym, e.g. C4(♯5) becomes 17–28–41 = F^m, where "a" stands for augmented and "d" stands for diminished.

Thirds →		vm3	m3	^m3	~3	vM3	M3	^M3	v4	P4	^4	~4
Triads with P5		Cvm	Cm	C^m	C~	Cv	C	C^	Cv4	C4	C^4	C~4
Other triads	vv5	Cvm(vv5)	Cm(vv5)	C^m(vv5)	C~(vv5)	Cv(vv5)	C(vv5)	C^(vv5)	Cv4(vv5)	C4(vv5)	C^4(vv5)	C~4(vv5)
	^b5	Cvd(^5)	Cd(^5)	C^d(^5)	C~d(^5)	Cv(^b5)	C(^b5)	C^(^b5)	Cv4(^b5)	C4(^b5)	C^4(^b5)	C~4(^b5)
	b5	Cvd	Cd	C^d	C~d	Cv(b5)	C(b5)	C^(b5)	Cv4(b5)	C4(b5)	C^4(b5)	C~4(b5)
	^^5	(vAb^)	Cm(^^5)	C^m(^^5)	C~(^^5)	Cv(^^5)	C(^^5)	C^(^^5)	Cv4(^^5)	(Fvm)	C^4(^^5)	C~4(^^5)
	va5	Cvm(v#5)	(Ab)	C^m(v#5)	C~a(v5)	(vEa)	Ca(v5)	C^a(v5)	Cv4(v#5)	(Fm)	C^4(v#5)	C~4(v#5)
	a5	Cvm(#5)	Cm(#5)	(^Abv)	C~a	Cva	Ca	C^a	Cv4(#5)	(F^m)	C^4(#5)	C~4(#5)
Tetrads with P5	~6	Cvm~6	Cm~6	C^m~6	C~6	Cv,~6	C,~6	C^,~6	Cv4~6	C4~6	C^4~6	C~4~6
	vM6	Cvm6	Cmv6	C^mv6	C~v6	Cv6	C,v6	C^v6	Cv4v6	C4v6	C^4v6	C~4v6
	M6	Cvm,6	Cm6	C^m,6	C~,6	Cv,6	C6	C^,6	Cv4,6	C4,6	C^4,6	C~4,6
	^M6	Cvm^6	Cm^6	C^m6	C~^6	Cv^6	C,^6	C^6	Cv4^6	C4^6	C^4^6	C~4^6
	vm7	Cvm7	Cmv7	C^mv7	C~v7	Cv7	C,v7	C^v7	Cv4v7	C4v7	C^4v7	C~4v7
	m7	Cvm,7	Cm7	C^m,7	C~,7	Cv,7	C7	C^,7	Cv4,7	C4,7	C^4,7	C~4,7
	^m7	Cvm^7	Cm^7	C^m7	C~^7	Cv^7	C,^7	C^7	Cv4^7	C4^7	C^4^7	C~4^7
	~7	Cvm~7	Cm~7	C^m~7	C~7	Cv,~7	C,~7	C^,~7	Cv4~7	C4~7	C^4~7	C~4~7
	vM7	CvmM7	CmvM7	C^mvM7	C~vM7	CvM7	C,vM7	C^vM7	Cv4vM7	C4vM7	C^4vM7	C~4vM7
	M7	Cvm,M7	CmM7	C^m,M7	C~M7	Cv,M7	CM7	C^,M7	Cv4M7	C4M7	C^4M7	C~4M7
	^M7	Cvm^M7	Cm^M7	C^mM7	C~^M7	Cv^M7	C,^M7	C^M7	Cv4^M7	C4^M7	C^4^M7	C~4^M7

A punctuation comma (",") is spoken as "add", thus Cv,7 is "C-down add-seven". The only exception is when a comma separates two numbers, as in C4,7 which is "C four-seven". A comma is written, and "add" is spoken, whenever not doing so would cause confusion with another chord.

P1-vm3-P5-M7 is named vm,M7 = downminor add major 7. One might think that the "add" could be omitted, and it could be named vmM7. But there's a rule that in a 7th chord, an initial arrow affects both the 3rd and the 7th. So vmM7 is a minor-major chord with both the 3rd and 7th downed, i.e. P1-vm3-P5-vM7.

@@ Line 1: / Line 1: @@
-Various [[41edo]] triads, 6th and 7th chords, named via [[Ups and Downs Notation|ups and downs]]. Not meant to be exhaustive, but this list does demonstrate the basic rules for naming.
+Various [[41edo]] triads, 6th and 7th chords, named via [[ups and downs notation]]. Not meant to be exhaustive, but this list does demonstrate the basic rules for naming.
+Highly implausible chords are named as a more plausible [[Chord homonym|homonym]], e.g. {{nowrap|0–17–28 = C4(♯5)}} becomes {{nowrap|17–28–41 {{=}} F^m}}, where "a" stands for augmented and "d" stands for diminished.
 {| class="wikitable"
-|+
+|-
-!
+! colspan="2" | Thirds &rarr;
 ! vm3
 ! m3
@@ Line 16: / Line 18: @@
 ! ~4
 |-
-! triad
+! colspan="2" | Triads with P5
 | Cvm
 | Cm
@@ Line 29: / Line 31: @@
 | C~4
 |-
+! rowspan="6" | Other<br />triads
+! vv5
+| Cvm(vv5)
+| Cm(vv5)
+| C^m(vv5)
+| C~(vv5)
+| Cv(vv5)
+| C(vv5)
+| C^(vv5)
+| Cv4(vv5)
+| C4(vv5)
+| C^4(vv5)
+| C~4(vv5)
+|-
+! ^b5
+| Cvd(^5)
+| Cd(^5)
+| C^d(^5)
+| C~d(^5)
+| Cv(^b5)
+| C(^b5)
+| C^(^b5)
+| Cv4(^b5)
+| C4(^b5)
+| C^4(^b5)
+| C~4(^b5)
+|-
+! b5
+| Cvd
+| Cd
+| C^d
+| C~d
+| Cv(b5)
+| C(b5)
+| C^(b5)
+| Cv4(b5)
+| C4(b5)
+| C^4(b5)
+| C~4(b5)
+|-
+! ^^5
+| ''(vAb^)''
+| Cm(^^5)
+| C^m(^^5)
+| C~(^^5)
+| Cv(^^5)
+| C(^^5)
+| C^(^^5)
+| Cv4(^^5)
+| ''(Fvm)''
+| C^4(^^5)
+| C~4(^^5)
+|-
+! va5
+| Cvm(v#5)
+| ''(Ab)''
+| C^m(v#5)
+| C~a(v5)
+| ''(vEa)''
+| Ca(v5)
+| C^a(v5)
+| Cv4(v#5)
+| ''(Fm)''
+| C^4(v#5)
+| C~4(v#5)
+|-
+! a5
+| Cvm(#5)
+| Cm(#5)
+| ''(^Abv)''
+| C~a
+| Cva
+| Ca
+| C^a
+| Cv4(#5)
+| ''(F^m)''
+| C^4(#5)
+| C~4(#5)
+|-
+! rowspan="11" | Tetrads<br />with P5
 ! ~6
 | Cvm~6
@@ Line 173: / Line 255: @@
 |}
-A comma (the actual punctuation mark ",") is spoken as "add", thus Cv,7 is "C-down add-seven". The only exception is when a comma separates two numbers, as in C4,7 which is "C four-seven". A comma is written, and "add" is spoken, whenever not doing so would cause confusion with another chord.
+A punctuation comma (",") is spoken as "add", thus Cv,7 is "C-down add-seven". The only exception is when a comma separates two numbers, as in C4,7 which is "C four-seven". A comma is written, and "add" is spoken, whenever not doing so would cause confusion with another chord.
 P1-vm3-P5-M7 is named vm,M7 = downminor add major 7. One might think that the "add" could be omitted, and it could be named vmM7. But there's a rule that in a 7th chord, an initial arrow affects both the 3rd and the 7th. So vmM7 is a minor-major chord with both the 3rd and 7th downed, i.e. P1-vm3-P5-vM7.
-See also:
+== See also ==
+* [[15edo chord names]]
+* [[19edo chord names]]
+* [[22edo chord names]]
+* [[24edo chord names]]
+* [[31edo chord names]]
+* [[Kite Guitar chord shapes (downmajor tuning)]]
-* [[19edo Chord Names]]
-* [[22edo Chord Names]]
-* [[24edo Chord Names]]
-* [[31edo Chord Names]]
-* [[Kite Guitar Chord Shapes (downmajor tuning)]]
 The last link is fairly exhaustive, and covers augmented and diminished chords.
@@ Line 189: / Line 272: @@
 [[Category:41edo]]
 [[Category:Chords]]
-[[Category:Ups and Downs Notation]]
+[[Category:Ups and downs notation]]
 [[Category:Notation]]

41edo chord names: Difference between revisions

Latest revision as of 14:14, 4 February 2025

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