xen15-gilson-generalized-pythagorean-5-4-59
Generalized Pythagorean Scale, 5/4 stacked 59=19+40 times
Properties
| Tone (¢) |
Step (¢) |
| 17 |
17 |
| 34 |
17 |
| 58 |
24 |
| 75 |
17 |
| 99 |
24 |
| 116 |
17 |
| 140 |
24 |
| 157 |
17 |
| 181 |
24 |
| 198 |
17 |
| 222 |
24 |
| 239 |
17 |
| 263 |
24 |
| 280 |
17 |
| 304 |
24 |
| 321 |
17 |
| 345 |
24 |
| 362 |
17 |
| 386 |
24 |
| 403 |
17 |
| 420 |
17 |
| 444 |
24 |
| 461 |
17 |
| 485 |
24 |
| 502 |
17 |
| 526 |
24 |
| 543 |
17 |
| 567 |
24 |
| 584 |
17 |
| 608 |
24 |
| 625 |
17 |
| 649 |
24 |
| 666 |
17 |
| 691 |
24 |
| 707 |
17 |
| 732 |
24 |
| 748 |
17 |
| 773 |
24 |
| 789 |
17 |
| 806 |
17 |
| 830 |
24 |
| 847 |
17 |
| 872 |
24 |
| 888 |
17 |
| 913 |
24 |
| 929 |
17 |
| 954 |
24 |
| 970 |
17 |
| 995 |
24 |
| 1011 |
17 |
| 1036 |
24 |
| 1053 |
17 |
| 1077 |
24 |
| 1094 |
17 |
| 1118 |
24 |
| 1135 |
17 |
| 1159 |
24 |
| 1176 |
17 |
| 1200 |
24 |
Similar scales
| File | Notes | Rotation | Max diff (¢) |
|---|
| edo-59 |
59 |
11 |
7.4 |
Parent scales
Child scales
Raw file
! xen15-gilson-generalized-pythagorean-5-4-59.scl
!
Generalized Pythagorean Scale, 5/4 stacked 59=19+40 times
59
!
16.783988 ! 14 moc
33.567976 ! 28 moc
57.842847 ! 48 moc
74.626835 ! 62 moc
98.901705 ! 82 moc
115.685693 ! 96 moc
139.960563 ! 117 moc
156.744552 ! 131 moc
181.019422 ! 151 moc
197.80341 ! 165 moc
1220703125/1073741824 ! 185 moc
238.862268 ! 199 moc
9765625/8388608 ! 219 moc
279.921127 ! 233 moc
78125/65536 ! 253 moc
320.979985 ! 267 moc
625/512 ! 288 moc
362.038844 ! 302 moc
5/4 ! 322 moc
403.097702 ! 336 moc
419.88169 ! 350 moc
444.15656 ! 370 moc
460.940549 ! 384 moc
485.215419 ! 404 moc
501.999407 ! 418 moc
526.274277 ! 439 moc
543.058266 ! 453 moc
567.333136 ! 473 moc
584.117124 ! 487 moc
608.391994 ! 507 moc
625.175982 ! 521 moc
48828125/33554432 ! 541 moc
666.234841 ! 555 moc
390625/262144 ! 575 moc
707.293699 ! 589 moc
3125/2048 ! 610 moc
748.352558 ! 624 moc
25/16 ! 644 moc
789.411416 ! 658 moc
806.195404 ! 672 moc
830.470274 ! 692 moc
847.254263 ! 706 moc
871.529133 ! 726 moc
888.313121 ! 740 moc
912.587991 ! 760 moc
929.371979 ! 774 moc
953.64685 ! 795 moc
970.430838 ! 809 moc
994.705708 ! 829 moc
1011.489696 ! 843 moc
244140625/134217728 ! 863 moc
1052.548555 ! 877 moc
1953125/1048576 ! 897 moc
1093.607413 ! 911 moc
15625/8192 ! 932 moc
1134.666271 ! 946 moc
125/64 ! 966 moc
1175.72513 ! 980 moc
2/1 ! 1000 moc
!
! Bruce R. Gilson
! A Numerical Theory of Scale Invention
! Xenharmonikon 15 (1993), p.118
!
! [info]
! source = Xenharmonikon
! whole_number = 15