xen18-ayers-table-04
7 Iterated Arithmetic Means between 1/1 and 2/1
Properties
| Notes | 8 |
|---|---|
| Period | 1200.0 ¢ |
| Just | 13-limit |
| Construction | iterated_arithmetic_mean([Fraction(1, 1), Fraction(2, 1)], 3) |
| Source | Xenharmonikon 18 |
| Reference | Lydia Ayers, Making Scales from Mathematical Means, Xenharmonikon 18 (2006), p.202 |
| Author | Lydia Ayers |
| Article | 40 scales |
| Tone | Tone (¢) | Step | Step (¢) |
|---|---|---|---|
| 9/8 | 204 | 9/8 | 204 |
| 5/4 | 386 | 10/9 | 182 |
| 11/8 | 551 | 11/10 | 165 |
| 3/2 | 702 | 12/11 | 151 |
| 13/8 | 841 | 13/12 | 139 |
| 7/4 | 969 | 14/13 | 128 |
| 15/8 | 1088 | 15/14 | 119 |
| 2/1 | 1200 | 16/15 | 112 |
Similar scales
| File | Notes | Rotation | Max diff (¢) |
|---|---|---|---|
| 08_o8 | 8 | 0 | 0.0 |
Parent scales
| File | Notes | Max diff (¢) |
|---|---|---|
| 12_o8x13 | 12 | 0.0 |
| beardsley | 12 | 0.0 |
| harcb12 | 12 | 0.0 |
| xen06-polansky-study-3 | 12 | 0.0 |
| sims | 18 | 0.0 |
| over19 | 19 | 0.0 |
| laka-dwarf | 17 | 2.9 |
| xen14-polansky-horn | 21 | 0.0 |
| Tolerant-Secor-17 | 17 | 3.6 |
| evangelina | 22 | 0.0 |
Child scales
| File | Notes | Max diff (¢) |
|---|---|---|
| thirteenlim | 7 | 0.0 |
| elevenlim | 6 | 0.0 |
| xen12-wilson-25-6C1-hexany | 6 | 0.0 |
| ninelim | 5 | 0.0 |
| xen03-colvig-gamelan-7-11 | 5 | 0.0 |
| Angola_Chisende_10450 | 6 | 20.9 |
| Ethiopia_Tizita | 5 | 24.5 |
Raw file
! xen18-ayers-table-04.scl ! 7 Iterated Arithmetic Means between 1/1 and 2/1 8 ! 9/8 5/4 11/8 3/2 13/8 7/4 15/8 2/1 ! ! Lydia Ayers ! Making Scales from Mathematical Means ! Xenharmonikon 18 (2006), p.202 ! ! [info] ! source = Xenharmonikon ! whole_number = 18