xen15-gilson-generalized-pythagorean-5-4-28
Generalized Pythagorean Scale, 5/4 stacked 28=9+19 times
Properties
| Tone (¢) |
Step (¢) |
| 58 |
58 |
| 99 |
41 |
| 140 |
41 |
| 181 |
41 |
| 222 |
41 |
| 263 |
41 |
| 304 |
41 |
| 345 |
41 |
| 386 |
41 |
| 444 |
58 |
| 485 |
41 |
| 526 |
41 |
| 567 |
41 |
| 608 |
41 |
| 649 |
41 |
| 691 |
41 |
| 732 |
41 |
| 773 |
41 |
| 830 |
58 |
| 872 |
41 |
| 913 |
41 |
| 954 |
41 |
| 995 |
41 |
| 1036 |
41 |
| 1077 |
41 |
| 1118 |
41 |
| 1159 |
41 |
| 1200 |
41 |
Similar scales
| File | Notes | Rotation | Max diff (¢) |
|---|
| edo-28 |
28 |
5 |
16.2 |
Parent scales
Child scales
Raw file
! xen15-gilson-generalized-pythagorean-5-4-28.scl
!
Generalized Pythagorean Scale, 5/4 stacked 28=9+19 times
28
!
57.842847 ! 48 moc
98.901705 ! 82 moc
139.960563 ! 117 moc
181.019422 ! 151 moc
1220703125/1073741824 ! 185 moc
9765625/8388608 ! 219 moc
78125/65536 ! 253 moc
625/512 ! 288 moc
5/4 ! 322 moc
444.15656 ! 370 moc
485.215419 ! 404 moc
526.274277 ! 439 moc
567.333136 ! 473 moc
608.391994 ! 507 moc
48828125/33554432 ! 541 moc
390625/262144 ! 575 moc
3125/2048 ! 610 moc
25/16 ! 644 moc
830.470274 ! 692 moc
871.529133 ! 726 moc
912.587991 ! 760 moc
953.64685 ! 795 moc
994.705708 ! 829 moc
244140625/134217728 ! 863 moc
1953125/1048576 ! 897 moc
15625/8192 ! 932 moc
125/64 ! 966 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