Diagrams of Equal-Tempered Guitar Fingerboards

[Joe Monzo]

with letter-name, absolute power of 2, and absolute Semitones

19-Equal

"standard" guitar tuning

open string	E n^0 0.00	A 2^(8/19) 5.05	D 2^(16/19) 10.11	G 2^1+(5/19) 12+3.16	B 2^1+(11/19) 12+6.95	E 2^2 24+0.00
	==========	==========	==========	==========	==========	==========
1st fret	E#/Fb 2^(1/19) 0.63	A# 2^(9/19) 5.68	D# 2^(17/19) 10.74	G# 2^1+(6/19) 12+3.79	B#/Cb 2^1+(12/19) 12+7.58	E#/Fb 2^2+(1/19) 24+0.63
2nd fret	F 2^(2/19) 1.26	Bb 2^(10/19) 6.32	Eb 2^(18/19) 11.37	Ab 2^1+(7/19) 12+4.42	C 2^1+(13/19) 12+8.21	F 2^2+(2/19) 24+1.26
3rd fret	F# 2^(3/19) 1.89	B 2^(11/19) 6.95	E 2^1 12+0.00	A 2^1+(8/19) 12+5.05	C# 2^1+(14/19) 12+8.84	F# 2^2+(3/19) 24+1.89
4th fret	Gb 2^(4/19) 2.53	B#/Cb 2^(12/19) 7.58	E#/Fb 2^1+(1/19) 12+0.63	A# 2^1+(9/19) 12+5.68	Db 2^1+(15/19) 12+9.47	Gb 2^2+(4/19) 24+2.53
5th fret	G 2^(5/19) 3.16	C 2^(13/19) 8.21	F 2^1+(2/19) 12+1.26	Bb 2^1+(10/19) 12+6.32	D 2^1+(16/19) 12+10.11	G 2^2+(5/19) 24+3.16
6th fret	G# 2^(6/19) 3.79	C# 2^(14/19) 8.84	F# 2^1+(3/19) 12+1.89	B 2^1+(11/19) 12+6.95	D# 2^1+(17/19) 12+10.74	G# 2^2+(6/19) 24+3.79
7th fret	Ab 2^(7/19) 4.42	Db 2^(15/19) 9.47	Gb 2^1+(4/19) 12+2.53	B#/Cb 2^1+(12/19) 12+7.58	Eb 2^1+(18/19) 12+11.37	Ab 2^2+(7/19) 24+4.42
8th fret	A 2^(8/19) 5.05	D 2^(16/19) 10.11	G 2^1+(5/19) 12+3.16	C 2^1+(13/19) 12+8.21	E 2^{2 24+0.00}	A 2^2+(8/19) 24+5.05
9th fret	A# 2^(9/19) 5.68	D# 2^(17/19) 10.74	G# 2^1+(6/19) 12+3.79	C# 2^1+(14/19) 12+8.84	E#/Fb 2^2+(1/19) 24+0.63	A# 2^2+(9/19) 24+5.68
10th fret	Bb 2^(10/19) 6.32	Eb 2^(18/19) 11.37	Ab 2^1+(7/19) 12+4.42	Db 2^1+(15/19) 12+9.47	F 2^2+(2/19) 24+1.26	Bb 2^2+(10/19) 24+6.32
11th fret	B 2^(11/19) 6.95	E 2^{1 12+0.00}	A 22^1+(8/19) 12+5.05	D 2^1+(16/19) 12+10.11	F# 2^2+(3/19) 24+1.89	B 2^2+(11/19) 24+6.95
12th fret	B#/Cb 2^(12/19) 7.58	E#/Fb 2^1+(1/19) 12+0.63	A# 2^1+(9/19) 12+5.68	D# 2^1+(17/19) 12+10.74	Gb 2^2+(4/19) 24+2.53	B#/Cb 2^2+(12/19) 24+7.58
13th fret	C 2^(13/19) 8.21	F 2^1+(2/19) 12+1.26	Bb 2^1+(10/19) 12+6.32	Eb 2^1+(18/19) 12+11.37	G 2^2+(5/19) 24+3.16	C 2^2+(13/19) 24+8.21
14th fret	C# 2^(14/19) 8.84	F# 2^1+(3/19) 12+1.89	B 2^1+(11/19) 12+6.95	E 2^{2 24+0.00}	G# 2^2+(6/19) 24+3.79	C# 2^2+(14/19) 24+8.84
15th fret	Db 2^(15/19) 9.47	Gb 2^1+(4/19) 12+2.53	B#/Cb 2^1+(12/19) 12+7.58	E#/Fb 2^2+(1/19) 24+0.63	Ab 2^2+(7/19) 24+4.42	Db 2^2+(15/19) 24+9.47
16th fret	D 2^(16/19) 10.11	G 2^1+(5/19) 12+3.16	C 2^1+(13/19) 12+8.21	F 2^2+(2/19) 24+1.26	A 2^2+(8/19) 24+5.05	D 2^2+(16/19) 24+10.11
17th fret	D# 2^(17/19) 10.74	G# 2^1+(6/19) 12+3.79	C# 2^1+(14/19) 12+8.84	F# 2^2+(3/19) 24+1.89	A# 2^2+(9/19) 24+5.68	D# 2^2+(17/19) 24+10.74
18th fret	Eb 2^(18/19) 11.37	Ab 2^1+(7/19) 12+4.42	Db 2^1+(15/19) 12+9.47	Gb 2^2+(4/19) 24+2.53	Bb 2^2+(10/19) 24+6.32	Eb 2^2+(18/19) 24+11.37
19th fret	E 2^{1 12+0.00}	A 2^1+(8/19) 12+5.05	D 2^1+(16/19) 12+10.11	G 2^2+(5/19) 24+3.16	B 2^2+(11/19) 24+6.95	E 2^{3 36+0.00}

updated:

1998.11.06

Encyclopedia of Microtonal Music Theory

Diagrams of Equal-Tempered Guitar Fingerboards