# Golden Scale

You can use the golden ratio for a scale. Because

Phi^2  = Phi + 1
Phi^-1 = Phi - 1
Phi^{n+2} = Phi^{n+1} + Phi^n

And it's divine.



## Table

Phi^-10
~    .008131
~      .8%

Phi^-9
~    .013156
~     1.3%

Phi^-8
~    .021286
~     2.1%

Phi^-7
~    .034442
~     3.4%

Phi^-6
~    .055728
~     5.6%

Phi^-5
~    .090170
~     9.0%

Phi^-4
~    .145898
~    14.6%

Phi^-3
~    .236068
~    23.6%

Phi^-2
~    .381966
~    38.2%

Phi^-1
~    .618034
~    61.8%

Phi^0
=   1.000000
=   100.0%

Phi^1
~   1.618034
~   161.8%

Phi^2
~   2.618034
~   261.8%

Phi^3
~   4.236068
~   423.6%

Phi^4
~   6.854102
~   685.4%

Phi^5
~  11.090170
~  1109.0%

Phi^6
~  17.944272
~  1794.4%

Phi^7
~  29.034442
~  2903.4%

Phi^8
~  46.978714
~  4697.9%

Phi^9
~  76.013156
~  7601.3%

Phi^10
~ 122.991869
~ 12299.2%



I use this for everything. For example, audio volume. It works.