xen18-ayers-table-20
7 Iterated Geometric Means Between 1/1 and 2/1 (8-tone Equal Temperament)
Properties
| Notes | 8 |
|---|---|
| Period | 1200.0 ¢ |
| Just | No |
| Source | Xenharmonikon 18 |
| Reference | Lydia Ayers, Making Scales from Mathematical Means, Xenharmonikon 18 (2006), p.207 |
| Author | Lydia Ayers |
| Article | 40 scales |
| Tone (¢) | Step (¢) |
|---|---|
| 150 | 150 |
| 300 | 150 |
| 450 | 150 |
| 600 | 150 |
| 750 | 150 |
| 900 | 150 |
| 1050 | 150 |
| 1200 | 150 |
Similar scales
| File | Notes | Rotation | Max diff (¢) |
|---|---|---|---|
| edo-08 | 8 | 0 | 0.0 |
| xen18-erlich-father-08 | 8 | 2 | 14.1 |
| quasi_8-EDO | 8 | 6 | 21.6 |
| met24-quasi_8-EDO_Cup | 8 | 0 | 22.3 |
| semisixths-8 | 8 | 4 | 24.1 |
| xen18-erlich-sensisept-08 | 8 | 3 | 24.1 |
| CD07_04_Egypt | 8 | 3 | 24.2 |
| xen18-erlich-hedgehog-08 | 8 | 0 | 24.6 |
Parent scales
| File | Notes | Max diff (¢) |
|---|---|---|
| edo-16 | 16 | 0.0 |
| edo-24 | 24 | 0.0 |
| jiri24a | 24 | 4.2 |
| edo-32 | 32 | 0.0 |
| mavsynch16 | 16 | 10.7 |
| edo-40 | 40 | 0.0 |
| xen18-erlich-vishnu-16 | 16 | 15.4 |
| edo-48 | 48 | 0.0 |
| compton48 | 48 | 0.0 |
| murat24 | 24 | 10.9 |
Child scales
| File | Notes | Max diff (¢) |
|---|---|---|
| xen18-erlich-sensisept-05 | 5 | 13.7 |
| xen18-erlich-sensipent-05 | 5 | 14.0 |
| xen18-erlich-father-05 | 5 | 14.1 |
| xen18-erlich-hedgehog-06 | 6 | 15.4 |
| xen09-chalmers-tritriadic-6-10-11 | 7 | 16.3 |
| Ethiopia_Mus_09_1976 | 5 | 22.0 |
| xen12-chalmers-tritriadic-dm-15-21-23 | 7 | 25.0 |
| xen10-chalmers-tritriadic-21-15-23 | 7 | 25.0 |
Raw file
! xen18-ayers-table-20.scl ! 7 Iterated Geometric Means Between 1/1 and 2/1 (8-tone Equal Temperament) 8 ! 150.0 300.0 450.0 600.0 750.0 900.0 1050.0 1200.0 ! ! Lydia Ayers ! Making Scales from Mathematical Means ! Xenharmonikon 18 (2006), p.207 ! ! [info] ! source = Xenharmonikon ! whole_number = 18