xen18-erlich-helmholtz-41
12L 29s MOS for Helmholtz, L=49.28, s=20.99
Properties
| Notes | 41 |
|---|---|
| Period | 1200.07 ¢ |
| Just | No |
| Construction | mos(Decimal('701.79'), Decimal('1200.07'), 41, rotation=29) |
| 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 (¢) |
|---|---|
| 21 | 21 |
| 70 | 49 |
| 91 | 21 |
| 112 | 21 |
| 133 | 21 |
| 183 | 49 |
| 204 | 21 |
| 224 | 21 |
| 274 | 49 |
| 295 | 21 |
| 316 | 21 |
| 365 | 49 |
| 386 | 21 |
| 407 | 21 |
| 428 | 21 |
| 477 | 49 |
| 498 | 21 |
| 519 | 21 |
| 569 | 49 |
| 590 | 21 |
| 611 | 21 |
| 632 | 21 |
| 681 | 49 |
| 702 | 21 |
| 723 | 21 |
| 772 | 49 |
| 793 | 21 |
| 814 | 21 |
| 835 | 21 |
| 884 | 49 |
| 905 | 21 |
| 926 | 21 |
| 976 | 49 |
| 997 | 21 |
| 1018 | 21 |
| 1067 | 49 |
| 1088 | 21 |
| 1109 | 21 |
| 1130 | 21 |
| 1179 | 49 |
| 1200 | 21 |
Similar scales
| File | Notes | Rotation | Max diff (¢) |
|---|---|---|---|
| tenn41c | 41 | 0 | 3.5 |
| xen15-gilson-generalized-pythagorean-3-2-41 | 41 | 29 | 4.1 |
| xen18-erlich-garibaldi-41 | 41 | 0 | 9.4 |
| xen03-wilson-positive-41 | 41 | 10 | 10.5 |
| xen18-erlich-magic-41 | 41 | 0 | 13.0 |
| 41cosine | 41 | 0 | 13.7 |
| edo-41 | 41 | 2 | 13.8 |
| tenn41b | 41 | 0 | 14.1 |
| newts | 41 | 35 | 15.2 |
| jove41 | 41 | 12 | 15.4 |
Parent scales
| File | Notes | Max diff (¢) |
|---|---|---|
| 48temp | 48 | 0.3 |
| xen18-erlich-helmholtz-53 | 53 | 0.0 |
| amity53pure | 53 | 2.7 |
| edo-53 | 53 | 2.8 |
| Sp53via19lim | 53 | 3.0 |
| xen18-erlich-hanson-53 | 53 | 3.1 |
| SpaRational53Coll | 53 | 3.3 |
| Spa53tone256Hz | 53 | 3.7 |
| septenarian53well | 53 | 4.1 |
| xen15-gilson-generalized-pythagorean-3-2-53 | 53 | 4.1 |
Child scales
| File | Notes | Max diff (¢) |
|---|---|---|
| xen18-erlich-helmholtz-29 | 29 | 0.0 |
| xen18-erlich-helmholtz-17 | 17 | 0.0 |
| xen18-erlich-helmholtz-12 | 12 | 0.0 |
| xen18-erlich-helmholtz-07 | 7 | 0.0 |
| xen18-erlich-helmholtz-05 | 5 | 0.0 |
| piaji-helmholtz | 12 | 0.0 |
| schismatic12 | 12 | 0.1 |
| porchrome2 | 7 | 0.2 |
| porchrome6 | 7 | 0.2 |
| xen10-chalmers-tritriadic-15-27-25 | 7 | 0.2 |
Raw file
! xen18-erlich-helmholtz-41.scl ! 12L 29s MOS for Helmholtz, L=49.28, s=20.99 41 ! 20.99 ! s 70.27 ! L 91.26 ! s 112.25 ! s 133.24 ! s 182.52 ! L 203.51 ! s 224.50 ! s 273.78 ! L 294.77 ! s 315.76 ! s 365.04 ! L 386.03 ! s 407.02 ! s 428.01 ! s 477.29 ! L 498.28 ! s 519.27 ! s 568.55 ! L 589.54 ! s 610.53 ! s 631.52 ! s 680.80 ! L 701.79 ! s 722.78 ! s 772.06 ! L 793.05 ! s 814.04 ! s 835.03 ! s 884.31 ! L 905.30 ! s 926.29 ! s 975.57 ! L 996.56 ! s 1017.55 ! s 1066.83 ! L 1087.82 ! s 1108.81 ! s 1129.80 ! s 1179.08 ! 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