about Crossroad Tuning System

 

Crossroad Tuning System

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

 

 

Define :

∆ ≡ ( Pythagorean Comma ) ^ ( 1/6 )

2 × ∆ ≡ d ^ 307

d = 1.002267733

 

Nut 81.7348897 109.2263233 145.9644681 195.0594445 245.9445862 328.6677573
E2 A3 D3 G3 B4 E4
  86.4970306 115.5902046 154.4688334 206.4242431 260.2741188 347.8170113
1 Fret 86.5950511 115.7211942 154.6438812 206.6581680 260.5690678 348.2111659
F2       C4 F4
  86.6931827 115.8523323 154.8191274 206.8923580 260.8643509 348.6057673
2 Fret 91.7442099 112.6022665 163.8393940 218.9465807 276.0631576 368.9166746
  B3 E3 A4    
  97.0895263 129.7454738 173.3852107 231.7031215 292.1474963 390.4109616
3 Fret 97.1995505 129.8925045 173.5816950 231.9656931 292.4785649 390.8533848
G2 C3 F3   D4 G4
  97.3096994 130.0397019 173.7784020 232.2285622 292.8100087 391.2963093
4 Fret           414.0945066
      B4    
          328.4196887  
5 Fret           438.8832631
A3 D3 G3 C4 E4 A5
            439.1318693
A5⤴cho
447.6969614

 

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

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

"The Naked Blue Note" is Pythagorean Integer.

D4 = [ 2048 / 7 ]

E4 = [ 2304 / 7 ]

G4 = [ 8192 / 21 ]

A5 = [ 3072 / 7 ]

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

 

 

 

 

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