User:Arseniiv/Timbres: Difference between revisions

Arseniiv (talk | contribs)
Arseniiv (talk | contribs)
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and here I call 4x:3x an interval between 4th and 3rd partials of this particular timbre, (φ+2):(φ+1) ≈ 1.38197, and like that for all others. Note this convention conflates many JI intervals into the same one, like 2x:1x = 3x:2x = 5x:3x = 7x:4x = φ.
and here I call 4x:3x an interval between 4th and 3rd partials of this particular timbre, (φ+2):(φ+1) ≈ 1.38197, and like that for all others. Note this convention conflates many JI intervals into the same one, like 2x:1x = 3x:2x = 5x:3x = 7x:4x = φ.


Decimal values of these modified intervals are
Decimal values of these modified intervals along with JI ones are
<pre>2x:1x     1.61803399
<pre>7x:6x     1.11803
3x:2x    1.61803399
8:7      1.14286
4x:3x    1.38196601
7:6      1.16667
5x:3x     1.61803399
5x:4x     1.17082
5x:4x     1.17082039
8x:7x     1.17082
6x:5x    1.23606798
6:5      1.20000
7x:4x    1.61803399
6x:5x    1.23607
7x:5x    1.38196601
5:4      1.25000
7x:6x     1.11803399
4:3      1.33333
8x:7x    1.17082039</pre>
4x:3x     1.38197
7x:5x    1.38197
7:5      1.40000
3:2      1.50000
2x:1x    1.61803
3x:2x     1.61803
5x:3x    1.61803
7x:4x     1.61803
5:3      1.66667
7:4      1.75000
2:1      2.00000</pre>