xen18-erlich-helmholtz-12
5L 7s MOS for Helmholtz, L=112.25, s=91.26
Properties
| Notes | 12 |
|---|---|
| Period | 1200.07 ¢ |
| Just | No |
| Construction | mos(Decimal('701.79'), Decimal('1200.07'), 12, rotation=6) |
| Source | Xenharmonikon 18 |
| Reference | Paul Erlich, A Middle Path Between Just Intonation and the Equal Temperaments Part 1, Xenharmonikon 18 (2006), p.188 |
| Author | Paul Erlich |
| Read online | sethares.engr.wisc.edu |
| Article | 428 scales |
| Tone (¢) | Step (¢) |
|---|---|
| 91 | 91 |
| 204 | 112 |
| 295 | 91 |
| 407 | 112 |
| 498 | 91 |
| 590 | 91 |
| 702 | 112 |
| 793 | 91 |
| 905 | 112 |
| 997 | 91 |
| 1109 | 112 |
| 1200 | 91 |
Similar scales
| File | Notes | Rotation | Max diff (¢) |
|---|---|---|---|
| schismatic12 | 12 | 3 | 0.1 |
| SpBruckner | 12 | 3 | 0.7 |
| xen15-gilson-generalized-pythagorean-3-2-12 | 12 | 6 | 1.3 |
| xen03-wilson-positive-12 | 12 | 0 | 1.3 |
| xen15-gilson-pythagorean-chromatic | 12 | 11 | 1.3 |
| xen18-schulter-pythagorean | 12 | 9 | 1.3 |
| schisdia3 | 12 | 10 | 1.3 |
| schisdia5 | 12 | 7 | 1.4 |
| schisdia2 | 12 | 8 | 1.5 |
| mistyschism2 | 12 | 7 | 1.6 |
Parent scales
| File | Notes | Max diff (¢) |
|---|---|---|
| xen18-erlich-helmholtz-17 | 17 | 0.0 |
| schisynch17 | 17 | 0.2 |
| pyth_17 | 17 | 1.3 |
| xen03-wilson-baglama | 17 | 1.3 |
| xen03-wilson-positive-17 | 17 | 1.3 |
| xen18-erlich-garibaldi-17 | 17 | 2.9 |
| indians | 22 | 0.2 |
| xen18-erlich-dominant-17 | 17 | 4.8 |
| indianred | 22 | 1.0 |
| xen02-wilson-indic | 22 | 1.0 |
Child scales
| File | Notes | Max diff (¢) |
|---|---|---|
| xen18-erlich-helmholtz-07 | 7 | 0.0 |
| xen18-erlich-helmholtz-05 | 5 | 0.0 |
| xen15-gilson-pythagorean-pentatonic | 5 | 0.6 |
| synmav1 | 7 | 0.6 |
| xen09-wilson-marwa-02-04 | 7 | 0.6 |
| xen10-wilson-purvi-01-04 | 7 | 0.6 |
| xen15-chalmers-triadic-reversed-diamond-32-27 | 7 | 0.6 |
| xen03-wilson-positive-05 | 5 | 0.6 |
| pseudo_Odo_octatonics | 8 | 0.8 |
| xen09-wilson-marwa-02-03 | 7 | 0.8 |
Raw file
! xen18-erlich-helmholtz-12.scl ! 5L 7s MOS for Helmholtz, L=112.25, s=91.26 12 ! 91.26 ! s 203.51 ! L 294.77 ! s 407.02 ! L 498.28 ! s 589.54 ! s 701.79 ! L 793.05 ! s 905.30 ! L 996.56 ! s 1108.81 ! L 1200.07 ! s ! ! Paul Erlich ! A Middle Path Between Just Intonation and the Equal Temperaments Part 1 ! Xenharmonikon 18 (2006), p.188 ! ! [info] ! source = Xenharmonikon ! whole_number = 18