back to list

A 41-tone well-temperament scale

🔗Danny Wier <dawiertx@sbcglobal.net>

3/26/2005 6:42:01 PM

This was inspired by T�re-Karadeniz. You can generate this one easily with Scala: 9 pure fifths up, 9 down, 23 wolves.

1/1
26.04848
59.86239
256/243
2187/2048
145.77326
179.58717
9/8
231.68413
265.49804
32/27
19683/16384
351.40891
8192/6561
81/64
437.31979
471.13369
4/3
523.23066
557.04456
1024/729
729/512
642.95544
676.76934
3/2
728.86631
762.68021
128/81
6561/4096
848.59109
32768/19683
27/16
934.50196
968.31587
16/9
1020.41283
1054.22674
4096/2187
243/128
1140.13761
1173.95152
2/1

Another version can be generated as 12 fifths down, 11 fifths up, 18 wolves.

Another question: other than Yamaha's patented keyboard, what other non-generalized 19-tone layouts exist? I've come up with two versions of my own which can be used to play the Pythagorean notes in this scale. I could upload a GIF of it to Files, but if it's exactly like someone else's design, I'd rather not.

The 41-tone keyboard could be built around that matrix.