xen15-gilson-generalized-pythagorean-3-2-41
Generalized Pythagorean Scale, 3/2 stacked 41=24+17 times
Properties
| Tone (¢) |
Step (¢) |
| 23 |
23 |
| 47 |
23 |
| 70 |
23 |
| 114 |
43 |
| 137 |
23 |
| 161 |
23 |
| 204 |
43 |
| 227 |
23 |
| 251 |
23 |
| 274 |
23 |
| 318 |
43 |
| 341 |
23 |
| 365 |
23 |
| 408 |
43 |
| 431 |
23 |
| 455 |
23 |
| 478 |
23 |
| 522 |
43 |
| 545 |
23 |
| 568 |
23 |
| 612 |
43 |
| 635 |
23 |
| 659 |
23 |
| 702 |
43 |
| 725 |
23 |
| 749 |
23 |
| 772 |
23 |
| 816 |
43 |
| 839 |
23 |
| 863 |
23 |
| 906 |
43 |
| 929 |
23 |
| 953 |
23 |
| 976 |
23 |
| 1020 |
43 |
| 1043 |
23 |
| 1066 |
23 |
| 1110 |
43 |
| 1133 |
23 |
| 1157 |
23 |
| 1200 |
43 |
Similar scales
Parent scales
Child scales
Raw file
! xen15-gilson-generalized-pythagorean-3-2-41.scl
!
Generalized Pythagorean Scale, 3/2 stacked 41=24+17 times
41
!
531441/524288 ! 20 moc
46.920021 ! 39 moc
70.380031 ! 59 moc
2187/2048 ! 95 moc
1162261467/1073741824 ! 114 moc
160.605027 ! 134 moc
9/8 ! 170 moc
4782969/4194304 ! 189 moc
250.830023 ! 209 moc
274.290033 ! 229 moc
19683/16384 ! 265 moc
341.055018 ! 284 moc
364.515029 ! 304 moc
81/64 ! 340 moc
43046721/33554432 ! 359 moc
454.740024 ! 379 moc
478.200035 ! 399 moc
177147/131072 ! 435 moc
544.96502 ! 454 moc
568.42503 ! 474 moc
729/512 ! 510 moc
387420489/268435456 ! 529 moc
658.650026 ! 549 moc
3/2 ! 585 moc
1594323/1048576 ! 605 moc
748.875022 ! 624 moc
772.335032 ! 644 moc
6561/4096 ! 680 moc
839.100017 ! 699 moc
862.560028 ! 719 moc
27/16 ! 755 moc
14348907/8388608 ! 774 moc
952.785023 ! 794 moc
976.245034 ! 814 moc
59049/32768 ! 850 moc
1043.010019 ! 869 moc
1066.470029 ! 889 moc
243/128 ! 925 moc
129140163/67108864 ! 944 moc
1156.695025 ! 964 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