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Some no-threes scales

🔗genewardsmith <genewardsmith@...>

7/9/2010 8:51:10 AM

Here are the 6 and 13 note MOS of hemiwuerschmidt, in the tuning with just 7s. I hope it won't spoil it for no-threes purists if I point out the 13-note MOS has a couple of 7/6 intervals in it. The fact that 13 notes is a fairly exotic scale size should help make up for that. The next MOS has 19 notes, and at that point it becomes impossible to ignore the fact that there are 3s lurking around.

! hemi6.scl
Hemiwuerschmidt[6] in pure 7s tuning
6
!
193.76518129382498579
387.53036258764997158
581.29554388147495736
775.06072517529994315
968.82590646912492894
1200.0000000000000000

! hemi13.scl
Hemiwuerschmidt[13] in pure 7s tuning
13
!
37.408912237050085272
193.76518129382498579
231.17409353087507106
387.53036258764997158
424.93927482470005685
581.29554388147495736
618.70445611852504264
775.06072517529994315
812.46963741235002842
968.82590646912492894
1006.2348187061750142
1162.5910877629499147
1200.0000000000000000