about Crossroad Tuning System

 

Crossroad Tuning System Blues 307

A5 is "the naked Blue Note", is not suspended IV.

 

 

Define :

d ≡ 2 ^ ( 1/306 )

d = 1.002267754

2d = 2 * d

2d = 2 ^ ( 307/306 )

 

Nut 81.7383478 109.2312488 145.9714569 195.0693274 245.9111711 328.6240185
E2 A3 D3 G3 B4 E4
  86.5007372 115.5954800 154.4763135 206.4348141 260.2388984 347.7709133
1 Fret 86.5987629 115.7264768 154.6513714 206.6687533 260.5338103 348.1650195
F2       C4 F4
  86.6968996 115.8576221 154.8266278 206.9029575 260.8290563 348.5595723
2 Fret 91.7481933 112.6079312 163.8474205 218.9579168 276.0259568 368.8679889
  B3 E3 A4    
  97.0937947 129.7515392 173.3937992 231.7152443 292.1082870 390.3596517
3 Fret 97.2038247 129.8985782 173.5902952 231.9778321 292.4393143 390.8020209
G2 C3 F3   D4 G4
  97.3139795 130.0457839 173.7879138 232.2407175 292.7707168 391.2448915
4 Fret           414.0403184
      B4    
             
5 Fret           438.6604369
A3 D3 G3 C4 E4 A5
            439.1575423
A5⤴cho
447.7232183

 

 

 

Crossroad Tuning Table

Blue Note & Choking

Name     A5 (bend)   A5⤴cho
Frequency 430.7557417 439.1575423 447.7232183
Address 2677 + 13/18 2686 + 1/4 2694 + 7/9
2d ^ 314 / 36 315 / 36 316 / 36
Ratio   307

Crossroads

307

 
306 306
Name 2 ^ ( 105/12 )   A5    
Frequency 430.5389646 438.9089192 447.4415912
Address 2677 + 1/2 2686 2694 + 1/2
2 ^ 315 / 36 316 / 36 317 / 36

 

 

 

 

A5 is "The Naked Blue Note",and Is not "Suspended IV.

"The Naked Blue Note" is not only A5. For example, D4, E4, G4.

"The Naked Blue Note" is a Integer.

D4 = [ 2048 / 7 ]

E4 = [ 2304 / 7 ]

G4 = [ 8192 / 21 ]

A5 = [ 3072 / 7 ]

"Major Pentatonic" ( Key : E ) is "Well Temperant Just Intonation".

 

 

 

 

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